Two objects collide elastically. The first has a mass of 5.00kg and a
velocity of 8.00 m/s. The second has a mass of 2.50 kg and a velocity
of -4.00m/s. If the velocity of object 1 after the collision is -4.00m/s,
what is the velocity of object 2?

Answers

Answer 1

Answer:

Explanation:

General formula

m1 * vi + m2*v2 = m1*v3 + m2*v4

Givens

m1 = 5

m2 = 2.5

v1 = 8 m/s

v2 = - 4 m/s

v3 = -4 m/s

v4 = x

Solution

5 * 8 - 2.5 * 4 = 5 * -4 + 2.5*x

40 - 10 = -20 + 2.5x

30 = - 20 + 2.5x

50 = 2.5x

x = 50/2.5

x = 20 m/s in the positive direction

Remark

Does this answer make sense? It should. You have 5 kg moving 8m/s in the plus direction. That's a lot of momentum. In addition after the collision, it turns around which is more momentum needed.

It has to give up that extra momentum to the 2.5 kg mass.


Related Questions

if the incident intensity of the light is 78 w/m, what is the intensity of the light that emerges from the filter? (express your answer to two significant figures.)

Answers

The intensity of the light that emerges from the filter is 38 w/m.

According to Malus's Law, the intensity of light that passes through a polarizer is proportional to the cosine squared of the angle between the transmission axis of the polarizer and the direction of polarization of the light. The equation is given as I = I_0 cos²θ where I is the transmitted light intensity, I_0 is the incident light intensity, and θ is the angle between the polarization direction and the transmission axis of the polarizer.In this case, the incident intensity of light is 78 W/m. Since the filter is placed perpendicular to the direction of polarization of the incident light, the angle between the polarization direction and the transmission axis of the polarizer is 90°. Thus, θ = 90°, cos θ = 0, and the transmitted light intensity is zero. Therefore, the intensity of the light that emerges from the filter is 0.

Force is the degree, volume, or greatness of a thing, like fire, feeling, climate, work, or energy. The word "intensity" is frequently associated with rage, passion, and violence. It is used to talk about the intensity of things like a love affair or perhaps a flame.

Know more about intensity, here:

https://brainly.com/question/17583145

#SPJ11

Two identical metal objects are insulated from their surroundings. Object A has a net charge of excess electrons. Object B is grounded. Which object is at a higher potential?
a) A
b) B
c) Both are at the same potential.
d) Cannot be determined without more information.

Answers

As a result, electrons are in high potential energy, and the object A has a negative potential.

Two identical metal objects are insulated from their surroundings. Object A has a net charge of excess electrons. Object B is grounded.  The object at a higher potential is the object with excess electrons which is object A. The correct option is: A .In grounded object, the excess charges will neutralize and are canceled out by opposite charges from the earth, resulting in the object having no charge or neutral. Therefore, object B is neutral. On the other hand, Object A has an excess of electrons that create an electrostatic repulsive force, with each electron repelling each other.

Know more about potential   here:

https://brainly.com/question/9349250

#SPJ11

A container of carbon dioxide has a volume of 315 cm³ at a temperature of 25°C if the pressure remains constant what is the volume of 54°C

Answers

Answer:

680.4

Explanation:

the formula is V1 over T1 is equals (=) to V2 over T2 .

and we have been given that

V1 represents 315

T1 represents 25°c

V2 is unknown and what we're finding

T2 represents 54°c

so 315×54 all over 25 ...gives you 680.4

The graph below represents the motion of four cars, labeled W, X, Y, and Z.
w
Distance
Time
Which car traveled at a constant speed throughout its motion?
O AW
ОВ. Х
О O c.ru
OD. Z

Answers

Answer:

Answer is A

Explanation:

As we know , for constant velocity we get a straight line.

The formula for this problem is s = vt which is similar to a straight line formula like y = mx + c.

If we put here c = 0 we get the formula for distance and velocity.

So the answer is A.

A 95 kg person climbs some stairs at a constant rate, gaining 2.8 meters in height. Find the work done by the person, in joules, to accomplish this task.

Answers

The work done by the person to climb some stairs at a constant rate and gain 2.8 meters in height is approximately 2605.86 J.

The work done by the person can be calculated using the formula W = Fd where W is the work done, F is the force applied and d is the distance moved in the direction of the force.

In this case, the force applied is equal to the weight of the person which can be calculated using the formula F = mg where m is the mass of the person and g is the acceleration due to gravity which is approximately 9.81 m/s².

Given that the mass of the person is 95 kg, we can calculate the force applied as follows:

F = mg = (95 kg)(9.81 m/s²) = 931.95 N

The distance moved in the direction of the force is equal to the height gained which is 2.8 meters.

Now we can substitute these values into the formula for work done:

W = Fd

W = (931.95 N)×(2.8 m)

W ≈ 2605.86 J

Therefore, the work done by the person to climb some stairs at a constant rate and gain 2.8 meters in height is approximately 2605.86 J.

To know more about force

https://brainly.com/question/12970081

#SPJ4

A cyclist travels 21 km in 90 minutes. Calculate, in m s–1 , the speed of the cyclist.

Answers

Answer:

35/9 m/s

Explanation:

21 km = 21000 m

90 min = 90*60 s = 5400 s

21000/5400 = 35/9 m/s

A force of 2 lb stretches a spring 1 ft. An 8-lb weight is attached to the end of the spring and released 4in. above the equilibrium position from rest. If the medium offers a resistance to the motion of the weight numerically equal to 3/2 times the instantaneous velocity, find the equation of motion. Determine if the system is underdamped, overdamped, or critically damped.

Answers

The solution to the differential equation is then:

x(t) = 0.25e⁽⁻⁶·⁰²⁵t⁾ cos(2.181t)

And the system is underdamped because the roots of the characteristic equation have a non-zero imaginary part.

The force required to stretch a spring is directly proportional to the amount the spring is stretched. This relationship is known as Hooke’s Law. It can be expressed mathematically as:

F = -kx

Where F is the force applied to the spring, x is the displacement of the spring from its equilibrium position, and k is the spring constant.

For a mass-spring system under the influence of a damping force, the differential equation governing the system is:

m(d2x/dt2) + c(dx/dt) + kx = 0

where m is the mass of the object attached to the spring, c is the damping coefficient, and k is the spring constant.

The given force of 2 lb stretches the spring by 1 ft, so the spring constant is given by k = F/x = 2/1 = 2 lb/ft.

The 8-lb weight is released 4 in. above the equilibrium position, which is 0.25 ft. The initial displacement is therefore x(0) = 0.25 ft, and the initial velocity is v(0) = 0. The damping force is given by f_d = -3/2v. Using the values given, the differential equation for the system is:

m(d2x/dt2) + c(dx/dt) + kx = 0 (1)

The values of m, k, and c are given by

m = 8/g = 8/32.2 = 0.248 kg

k = 2/lb/ft * 0.4536 kg/lb * 0.3048 m/ft = 0.294 kg/sm = 0.248 kgc = 3/2

The equation of motion is then:

d2x/dt2 + 12.05dx/dt + 1.186x = 0 (2)

where we have substituted the values of m, c, and k into equation (1).

The characteristic equation is:

r2 + 12.05r + 1.186 = 0 (3)

Solving for the roots of the characteristic equation, we find:

r = (-12.05 ± √(12.052 - 4(1.186)))/2= -6.025 ± 2.181i

The roots are complex conjugates, so the solution to the differential equation can be written as:

x(t) = e⁽⁻⁶·⁰²⁵t⁾(C₁ cos(2.181t) + C₂ sin(2.181t)) (4)

The initial displacement and velocity are given by x(0) = 0.25 and v(0) = 0.

Substituting these values into equation (4) and taking the derivative, we get:

x(0) = C₁ = 0.25dx/dt|t=0 = -6.025

C₂ = 0

Solving for C₁ and C₂, we get:

C₁ = 0.25C2 = 0

The solution to the differential equation is then:

x(t) = 0.25e⁽⁻⁶·⁰²⁵t⁾ cos(2.181t) (5)

The system is underdamped because the roots of the characteristic equation have a non-zero imaginary part.

Learn more about the forces at:

https://brainly.com/question/17063178

#SPJ11

The density of water is 1. 0 g/cm3. How many kilograms of water does a submerged 120-cm3 block displace? Recall that 1. 0 g/cm3 weights 9. 8 N on earth. What is the buoyant force on the block?

Answers

The density of water is 1.0 g/cm³. It's required to determine the mass of water displaced by a submerged 120-cm³ block and the buoyant force on the block.To find the mass of water displaced by a 120 cm³ block, we first need to know the mass of 1 cm³ of water, which is equal to its density, which is 1.0 g/cm³.

The volume of the block is 120 cm³, so we can calculate its mass by multiplying its volume by the density of water. Therefore, the mass of the block submerged in water is:120 cm³ × 1.0 g/cm³ = 120 gTo find the number of kilograms, we divide the value obtained by 1000. Therefore, 120 g = 0.12 kg.The buoyant force is equal to the weight of the water displaced by the block. The buoyant force equals the weight of water displaced by the object.

The weight of 1 cm³ of water is 9.8 N (newtons), which is equal to the weight of 1 g of water. We can use this to calculate the weight of water displaced by the block as follows:120 cm³ × 1.0 g/cm³ × 9.8 N/g = 1176 NTherefore, the buoyant force acting on the block is 1176 N (Newtons).

To know more about weight visit :

https://brainly.com/question/31659519

#SPJ11

Help please!!!!!!!!!!​

Answers

Answer:

j

Explanation:

an astronaut travels to a distant star on a spaceship moving at velocity 0.997c, where c is the speed of light, and then returns to earth. the astronaut has a twin who remains on the earth. according to the twin on the earth 11 years pass before the astronaut returns. how many years have passed according to the astronaut?

Answers

According to the twin on Earth, 11 years have passed whereas, according to the astronaut, approximately 142.10 years have passed during their journey to the distant star and back.

According to the astronaut traveling at a velocity of 0.997c, the number of years that have passed can be calculated using the concept of time dilation in special relativity.

Time dilation occurs when an object moves at speeds close to the speed of light relative to another object.

The formula for time dilation is given by:

t' = t / √(1 - v²/c²)

Where:

t' is the time experienced by the moving object (the astronaut)

t is the time experienced by the stationary object (the twin on Earth)

v is the velocity of the moving object relative to the stationary object

c is the speed of light

In this case, the astronaut is traveling at a velocity of 0.997c. Let's calculate the time experienced by the astronaut.

t' = 11 / √(1 - (0.997c)²/c²)

Calculating the square of 0.997c:

(0.997c)² = (0.997)² * c²

0.997)² * c² = 0.994009 * c²

Substituting the value back into the time dilation formula:

t' = 11 / √(1 - 0.994009 * c²/c²)

Simplifying the equation:

t' = 11 / √(1 - 0.994009)

t' = 11 / √(0.005991)

t' = 11 / 0.077453

t' ≈ 142.10 years

Therefore, according to the astronaut, approximately 142.10 years have passed during their journey to the distant star and back.

According to the twin on Earth, 11 years have passed. However, due to the effects of time dilation at the high velocity of the spaceship, the astronaut experiences a significantly longer duration of time. In this case, approximately 142.10 years have passed according to the astronaut.

To know more about astronaut visit:

https://brainly.com/question/29727760

#SPJ11

Which type of bond is the attraction between two oppositely charged atoms or groups of atoms

Answers

Answer:

The type of bond is ionic bond also called electrovalent bond.

Explanation:

This ionic bond is formed through an electrostatic attraction between two oppositely charged atoms.

Hope this helps! :)

And also this question was already answered on Brainly if you wanna check it out.

Which answer below is not a statement of the second law of thermodynamics? a. Real processes proceed in a preferred direction. b. In theory, heat engines working in a cycle employ reversible processes. c. The entropy of the universe increases in all natural processes d. Energy does not flow spontancously by heat from a cold to a hot reservoir. You cannot construct a heat engine operating in a cycle that does nothing but take heat from a reservoir and perform an equal amount of work

Answers

The answer that is not a statement of the second law of thermodynamics is d. Energy does not flow spontaneously by heat from a cold to a hot reservoir.

Options a, b, and c all reflect different aspects of the second law of thermodynamics, such as the preferential direction of real processes, the increase of entropy in natural processes, and the limitation on constructing a heat engine that only performs work without rejecting any heat to a colder reservoir.

However, option d contradicts the second law by suggesting the spontaneous flow of heat from a cold to a hot reservoir, making it the answer that is not a statement of the second law of thermodynamics.

To know more about second law of thermodynamics, visit,

https://brainly.com/question/30600157

#SPJ4

Pls help with all questions dew in 10 minutes!

Answers

7.Jupiter is the largest planet in our solar system at nearly 11 times the size of Earth and 317 times its mass.

When we look at Jupiter, we're actually seeing the outermost layer of its clouds.

The Great Red Spot is a storm in Jupiter's southern hemisphere with crimson-colored clouds that spin counterclockwise at wind speeds

8. 58,232 km

The second largest planet in the solar system

Surface. As a gas giant, Saturn doesn't have a true surface. The planet is mostly swirling gases and liquids deeper down.

Saturn's rings are thought to be pieces of comets, asteroids or shattered moons that broke up before they reached the planet,

9. Unlike the other planets of the solar system, Uranus is tilted so far that it essentially orbits the sun on its side, with the axis of its spin nearly pointing at the star.

Uranus' atmosphere is mostly hydrogen and helium, with a small amount of methane and traces of water and ammonia.

As an ice giant, Uranus doesn't have a true surface. The planet is mostly swirling fluids. While a spacecraft would have nowhere to land on Uranus, it wouldn't be able to fly through its atmosphere unscathed either. The extreme pressures and temperatures would destroy a metal spacecraft.

10. 24,622 km

Neptune has an average temperature of -353 Fahrenheit (-214 Celsius).

Neptune's atmosphere is made up mostly of hydrogen and helium with just a little bit of methane.

A 1.99 uF capacitor that is initially uncharged is connected in series with a 5.77 ki2 resistor and an emf source with 54.3 V and negligible internal resistance. The circuit is completed at t = 0. just after the circuit is completed, what is the rate at which electrical energy is being dissipated in the resistor?

Answers

The rate at which electrical energy is being dissipated in the resistor is 0.052 Watts.

What is resistor?

A resistor is an electronic component that is used to resist the flow of electric current in a circuit. It is specifically designed to have a specific resistance value, which determines how much it restricts the flow of current. Resistors are typically made of materials with high resistivity, such as carbon, metal alloys, or wire-wound materials.

Given:

Capacitance (C) = 1.99 μF = 1.99 * 10⁻⁶ F

Resistor (R) = 5.77 kΩ = 5.77 * 10³ Ω

EMF source voltage (V) = 54.3 V

First, we need to find the current flowing through the circuit. The current at any time t in an RC circuit can be given by:

I(t) = (V / R) * (1 - e⁻ᵗ⁄ ʳ×ᶜ)

At t = 0, just after the circuit is completed, we can simplify this to:

I(0) = (V / R)

Substituting the given values:

I(0) = (54.3 V) / (5.77 * 10³ Ω)

Calculating this, we find:

I(0) ≈ 0.00941 A

Now, to determine the rate at which electrical energy is being dissipated in the resistor, we use the formula for power:

P = I² * R

Substituting the value of current:

P = (0.00941 A)² * (5.77 * 10³ Ω)

Calculating this, we find:

P ≈ 0.052 W

Therefore, just after the circuit is completed at t = 0, the rate at which electrical energy is being dissipated in the resistor is approximately 0.052 Watts.

To learn more about resistor,

https://brainly.com/question/17671311

#SPJ4

Investigators are exploring ways to treat milk for longer shelf life by using pulsed electric fields to destroy bacterial contamination. One system uses 8. 0-cm-diameter circular plates separated by 0. 95 cm. The space between the plates is filled with milk, which has the same dielectric constant as that of water. The plates are briefly charged to 30,000 V. What is the capacitance of the system? How much charge is on each plate when they are fully charged?

Answers

The given system consists of two 8.0-cm-diameter circular plates separated by 0.95 cm, which are filled with milk. The capacitance of the system can be calculated as follows:Explanation:Capacitance is defined as the charge stored per unit potential difference,using the formula C = Q/V, where C is capacitance, Q is charge, and V is potential difference.

In this case, the capacitance of the system can be calculated using the formula for the capacitance of parallel plate capacitors:

[tex]C = εA/d[/tex],

where C is capacitance, ε is the permittivity of free space, A is the area of each plate, and d is the distance between the plates.The area of each plate can be calculated using the formula for the area of a circle:

[tex]A = πr²[/tex],

where r is the radius of the circle.Substituting the given values into the formula, we get:

[tex]C = εA/dC = (8.85 × 10⁻¹² F/m) × [(π × (8.0/2 × 10⁻² m)²)/0.95 × 10⁻² m]C = 6.21 × 10⁻¹⁰ F[/tex]

Thus, the capacitance of the system is [tex]6.21 × 10⁻¹⁰ F[/tex].

The amount of charge on each plate when they are fully charged can be calculated using the formula Q = CV, where Q is charge, C is capacitance, and V is potential difference.Substituting the given values into the formula, we get:

[tex]Q = CVQ = (6.21 × 10⁻¹⁰ F) × (30,000 V)Q = 1.86 × 10⁻⁵ C[/tex]

Thus, the amount of charge on each plate when they are fully charged is [tex]1.86 × 10⁻⁵ C[/tex].

To know more about capacitance visit :

https://brainly.com/question/31871398

#SPJ11

Which of these energy transformations is not part of how a nuclear power plant
provides electrical energy to a home?
changing electrical energy to chemical energy
changing thermal energy to mechanical energy
changing nuclear energy to thermal energy
changing mechanical energy to electrical energy

Answers

I think the second one

An f/3.05 CCD camera has a 109 mm focal length lens and can focus on objects from infinity to as near as 32.5 cm from the lens. Note: "773.05* means an number of 3.05. HINT (a) Determine the camera's aperture diameter in mm. mm Determine the minimum and maximum distances in cm from the CCD sensor over which the lens must be able to travel during focusing (b) minimum cm (c) maximum cm

Answers

a)The camera's aperture diameter is approximately 35.737 mm, b)The minimum distance from the CCD sensor during focusing is approximately infinity, c) The maximum distance from the CCD sensor during focusing is approximately infinity.

To determine the camera's aperture diameter in mm, we can use the formula for calculating the aperture diameter based on the f-number (f/3.05):

Aperture diameter = Focal length / f-number

Substituting the values into the formula, we get:

Aperture diameter = 109 mm / 3.05

Aperture diameter = 35.737 mm (rounded to three decimal places)

Now, let's calculate the minimum and maximum distances from the CCD sensor over which the lens must be able to travel during focusing.

Given:

Minimum focusing distance = 32.5 cm

Infinity focusing distance (approximated as very large) = infinity

(b) Minimum distance from the CCD sensor during focusing:

The minimum distance from the CCD sensor during focusing is the difference between the infinity focusing distance and the minimum focusing distance. Since infinity is approximated as very large, we can consider the minimum distance as:

Minimum distance = Infinity - Minimum focusing distance

Minimum distance = infinity

(c) Maximum distance from the CCD sensor during focusing:

The maximum distance from the CCD sensor during focusing is the difference between the infinity focusing distance and the minimum focusing distance. Since infinity is approximated as very large, we can consider the maximum distance as:

Maximum distance = Infinity - Minimum focusing distance

Maximum distance = infinity

To know more about aperture diameter

https://brainly.com/question/10095671

#SPJ4

State all facts and questions within the diagram.

Answers

On minerals and effects of mining:

The mineral in the diagram is water. Water is a mineral because it is a naturally occurring, inorganic substance that has a definite chemical composition.Mining can pollute water, air, and soil. It can also disrupt wildlife habitats and contribute to climate change.

What are other effects of mining?

Facts:

Water is a mineral.A mountain is a landform that is typically higher than a hill.A plant is a living organism that can make its own food.After mining, the land may be left scarred and the environment may be damaged. It can take many years for the environment to recover from mining.

Water pollution: Mining can contaminate water with heavy metals, chemicals, and sediments. This can make water unsafe to drink, swim in, or use for irrigation.

Air pollution: Mining can release dust, fumes, and gases into the air. This can contribute to respiratory problems and other health problems.

Soil pollution: Mining can contaminate soil with heavy metals, chemicals, and sediments. This can make soil unsafe for growing crops or for other uses.

Wildlife habitat disruption: Mining can destroy wildlife habitats. This can lead to the loss of species and the disruption of ecosystems.

Climate change: Mining can contribute to climate change by releasing greenhouse gases into the atmosphere.

Find out more on mining here: https://brainly.com/question/1278689

#SPJ1

fill in the blank. quasars vary on a timescale of ___________. this means they must be very _________.

Answers

Fill in the blank: Quasars vary on a timescale of days to months. This means they must be very dynamic.

Quasars, also known as quasi-stellar objects, are extremely luminous and distant celestial objects that emit massive amounts of energy. They are powered by supermassive black holes at the centers of galaxies. The variability of quasars refers to their fluctuations in brightness over time. Observations have shown that quasars can exhibit significant changes in their luminosity on timescales ranging from days to months. The rapid variability of quasars suggests that the processes occurring in their vicinity must be highly dynamic. The variability is believed to arise from the accretion of matter onto the central black hole, which generates intense radiation and powerful jets of material. Studying the timescale of quasar variability provides insights into the physical mechanisms occurring near supermassive black holes and helps astronomers understand the nature and evolution of these fascinating cosmic objects.

To learn more about timescale, Click here:

https://brainly.com/question/32234089

#SPJ11

Light falling on a metal surface causes electrons to be emitted from the metal by the photoelectric effect.
As we decrease the frequency of this light, but do not vary anything else (there may be more than one correct answer),
A: the number of electrons emitted from the metal increases.
B: the maximum speed of the emitted electrons decreases.
C: the maximum speed of the emitted electrons does not change.
D: the work function of the metal increases.
Enter the letters of all the correct answers in alphabetical order. Do not use commas. For instance, if you think assumptions B and D are required, enter BD.

Answers

B: the maximum speed of the emitted electrons decreases.

The photoelectric effect is the phenomenon where electrons are emitted from a metal surface when light of sufficient energy, or frequency, falls on it. The energy of a photon of light is directly proportional to its frequency (E = hf), where h is Planck's constant and f is the frequency of the light.

When the frequency of the incident light is decreased, the energy of each photon decreases. According to the photoelectric effect equation (E = hf = Φ + 1/2mv²), where Φ is the work function of the metal and v is the speed of the emitted electron, if the energy of the incident photon is lower than the work function, no electrons will be emitted.

Since the frequency of the light is directly related to its energy, decreasing the frequency decreases the energy of the photons. Consequently, fewer electrons will have sufficient energy to overcome the work function and be emitted from the metal. Therefore, the number of electrons emitted from the metal decreases.

Furthermore, the maximum speed of the emitted electrons is determined by the energy of the incident photons. With decreased frequency and lower energy photons, the maximum kinetic energy of the emitted electrons decreases. As kinetic energy is directly proportional to the square of the velocity (1/2mv²), the maximum speed of the emitted electrons decreases.

The correct answer is B: the maximum speed of the emitted electrons decreases. As the frequency of the incident light is decreased, the number of electrons emitted from the metal also decreases, and the maximum speed of the emitted electrons decreases due to the lower energy of the incident photons.

To know more about electrons visit :

https://brainly.com/question/860094

#SPJ11

The left end of a spring is attached to a wall. When Bob pulls on the right end with a 200 N force, he stretches the spring by 20 cm. The same spring is then used for a tug-of-war between Bob and Carlos. Each pulls on his end of the spring with a 200 N force. How far does the spring stretch

Answers

Answer:

40 cm

Explanation:

Since Bob pulls with a force of F = 200 N when the spring is attached to the wall and it extends a length x = 20 cm, from Hooke's law,

F = kx where k = spring constant

So, k = F/x = 200 N/20 cm = 10 N/cm

Now, sine both Bob and Carlos pull with a force of F = 200 N in opposite directions, the spring stretches about its center and has an extension, x' in each direction.

So, from F = kx

x = F/k = 200 N/10 N/cm = 20 cm

So, the spring stretches 20 cm in both directions.

So, the total extension is thus x' + x' = 2x' = 2(20 cm) = 40 cm

The spring will stretch 40 cm.When a force is act om the spring the spring will stretch or compress depeds on the application of force.

What is hooke's law?

Hooke's law states that the force used to extend the spring is directly equal to the amount of stretch.

The force needed to extend the spring is proportional to its displacement. It is stated as

F=Kx

The given data in the problem is;

F is the force of pull to bob=  200 N

x is the length of extension= 20 cm.

F' is the force act on the another end=  200 N

According to Hooke's law,

[tex]\rm F = Kx \\\\ \rm K= \frac{F}{x} \\\\ \rm K= \frac{200}{20} \\\\ \rm K=10 \ N/cm[/tex]

The extension due to another end force is found by;

[tex]\rm x' = \frac{F}{K} \\\\ \rm x' = \frac{200}{10} \\\\ \rm x' = 20[/tex]

The total extension of the spring will be;

[tex]\rm x_t = x+x' \\\\ \rm x_t = 2(20) \\\\ \rm x_t =40\ cm[/tex]

Hence the spring will stretch 40 cm.

To learn more about the hooke's law refer to the link;

https://brainly.com/question/13348278

an engine uses 5280 j of input heat to do 702 j of work. how much heat is rejected into the air

Answers

An engine uses 5280 j of input heat to do 702 j of work. The heat rejected into the air is 4578 J.

In this case, we can use the first law of thermodynamics, which states that the heat input to a system is equal to the work done by the system plus the heat rejected or lost.

Given:

Input heat (Qin) = 5280 J

Work done (W) = 702 J

The equation for the first law of thermodynamics is:

Qin = W + Qout,

where Qin is the input heat, W is the work done, and Qout is the heat rejected.

Rearranging the equation to solve for Qout:

Qout = Qin - W.

Substituting the given values:

Qout = 5280 J - 702 J.

Calculating the result:

Qout = 4578 J.

Therefore, the heat rejected into the air is 4578 J.

To know more about heat, refer here:

https://brainly.com/question/2427061#

#SPJ11

In the space provided, write either TRUE or FALSE.

(a) Intheequationf(x)=mx+b,thevariablebrepresentstheslope.

(b) The graph of a linear function is always a straight line.



(c) The domain of the function y = 3 − x is the set of all real numbers less

than or equal to 3.

(d) The operation of function composition is commutative. That is, for all

functionsf andg,itistruethatf◦g=g◦f.

Answers

A.  FALSE. In the equation, 'b' represents the y-intercept not slope.

B. TRUE. The graph of a linear function is always a straight line.

C. FALSE. The domain of the function y = √3 − x is the set of all real numbers greater than or equal to 3.
D. FALSE. The operation of function composition is not commutative

What should you know about function composition?

The operation of function composition is not generally commutative. For functions f and g, it's not necessarily true that f(g(x)) = g(f(x)). The order in which functions are composed can affect the result.

The domain of the function y = √(3 - x) is the set of all real numbers less than or equal to 3.

This is because for the expression under the square root to be non-negative (and thus yield a real number as output), x must be less than or equal to 3.

However, if the expression was y = √3 - x, it would have a different meaning, and the domain would be all real numbers, because √3 is a constant, and subtracting any real number x from a constant yields a real number

Find more exercises on  function composition;

https://brainly.com/question/30143914

#SPJ1

the movement of the action potential down the length of the axon is

Answers

The movement of the action potential down the length of the axon is a crucial process in neural communication.

The action potential is an electrical signal that allows neurons to transmit information throughout the nervous system. When a neuron receives a stimulus, it undergoes a rapid change in membrane potential, resulting in the generation of an action potential.

This electrical impulse travels down the length of the axon, which is the long, slender projection of the neuron. The movement of the action potential is facilitated by a series of events. Initially, the depolarization of the neuron's membrane triggers the opening of voltage-gated sodium channels, leading to an influx of sodium ions.

This influx of positive charge further depolarizes the membrane, propagating the action potential along the axon. As the action potential travels, the depolarization in one region of the axon triggers the opening of voltage-gated sodium channels in the adjacent region, allowing the action potential to continue its journey.

This process of depolarization and propagation repeats along the length of the axon until the action potential reaches the axon terminal. At the axon terminal, the action potential triggers the release of neurotransmitters, which transmit the signal to the next neuron or target cell.

To learn more about action potential here:

https://brainly.com/question/4305583

#SPJ11

A point charge of +10 μC is at (+3 m, 0 m) on the x-axis and a point charge of +10 μC is at (-3 m,0 m).

a. Determine the work required to assemble this charge distribution.

W = ________ J

b. Find the magnitude of the electric field at a point (0,+3 m) on the y-axis.

E = __________ x103 N/C

A charge q = +1 μC is placed at this point. Find the magnitude of the force on the 1 μC charge.

c. A charge q= +1 μC is placed at a point (0,+3 m) on the y-axis. Find the magnitude of the force on the 1 μC charge.

F = ____________ x10-3 N

Answers

a)Therefore, the work required to assemble this charge distribution is approximately 0 J. b)Therefore, the magnitude of the electric field at a point (0, +3 m) on the y-axis is 90 kN/C. c)Therefore, the magnitude of the force on the 1 μC charge is 0.03 N (approximately) are the answers.

Given information: A point charge of +10 μC is at (+3 m, 0 m) on the x-axis and a point charge of +10 μC is at (-3 m,0 m).

a. Determine the work required to assemble this charge distribution. The work done to assemble this charge distribution is the sum of the work done to bring each charge to its respective position.

It can be calculated using the formula as follows;

W = (1/4πε0)(q1q2/r1 + q1q2/r2)

where

ε0 = permittivity of free space = 8.85 × 10−12 C2/Nm2q1

= +10 μC, q2 = +10 μCr1 = +3m,

r2 = +3m

W = (1/4πε0)(q1q2/r1 + q1q2/r2)

= (1/4π × 8.85 × 10−12 × 10 × 10 × 106 )/(3 + 3) J= 4.44 × 10−7 J ≈ 0 J (approximately).

Therefore, the work required to assemble this charge distribution is approximately 0 J.

b. Find the magnitude of the electric field at a point (0,+3 m) on the y-axis. The electric field at a point on the y-axis due to the charges can be calculated by using the formula as follows;

E = (1/4πε0)(q/r1^2 − q/r2^2),

where q = +10 μCr1 = +3m,

r2 = +3mE = (1/4πε0)(q/r1^2 − q/r2^2)

r2= (1/4π × 8.85 × 10−12 × 10 × 106 )/(32 − 32) N/C

r2= (1/4πε0)(q/r1^2)= (1/4π × 8.85 × 10−12 × 10 × 106 )/(3^2) N/C

r2= 9 × 10^4 N/C. To get the answer in kN/C,

the answer can be divided by 1000.

E = 9 × 10^4 x 10^-3 = 9 × 10^1 kN/C C = 90 kN/C.

Therefore, the magnitude of the electric field at a point (0, +3 m) on the y-axis is 90 kN/C.

c. A charge q= +1 μC is placed at a point (0,+3 m) on the y-axis. Find the magnitude of the force on the 1 μC charge.

The force on the 1 μC charge due to the charges can be calculated using Coulomb's law.

Coulomb's law is given by;

F = (1/4πε0)(q1q2/r^2)

where

ε0 = permittivity of free space = 8.85 × 10−12 C2/Nm2q1

= +10 μC, q2 = +1 μCr = +3mF

= (1/4πε0)(q1q2/r^2)

=(1/4π × 8.85 × 10−12 × 10 × 1 × 106 )/(3^2) N

= 2.96 × 10−2 N ≈ 0.03 N (approximately).

to know more about magnitude visit:

https://brainly.com/question/28714281

#SPJ11

2.
Which of the following has the greatest momentum?
A.
0.2 kg ball moving at 40 m/s
В.
500 kg car traveling at 16 m/s
С.
2000 kg truck traveling at 9 m/s
D
50 kg child skateboarding at 4 m/s

Answers

Answer:

I'm corona positive and isolated feeling depressed just logged in to talk someone but people ignoring me thanks for this behaviour got disappointed bye everyone logging out had a great time

C because all you need to do is multiply the mass and the velocity where 500•16=18,000

Explain what does a calorimeter measure?

Answers

Measuring the heat of chemical reactions or physical changes.

At high elevations or high latitudes, some of the water that falls on land does not immediately soak in , run off, evaporate or transpire. where is the water being temporarily stored?

Answers

Answer:

The water is stored in ice sheets and as snow

Explanation:

Temperature reduces with an increase in altitudes. The standard laps rate is 6.5°C per 1,000 m gained in elevation

At very high elevations, therefore,  the air is usually very cold such that when an elevation of 4,500 meters is reached at the equator, it is possible to observe snowfall and the water remain temporarily stored on the surface of the mountain as ice and snow

q11: why was your surface pressure higher or lower than the slp of your location? if your location is falcon field, then remember that the surface pressure was measured at 245 meters above sea level.

Answers

The surface pressure may be higher or lower than the sea level pressure (SLP) of Falcon Field depending on various factors such as local weather conditions, elevation differences, and atmospheric disturbances.

Surface pressure refers to the atmospheric pressure measured at a specific location on the Earth's surface. It can be influenced by multiple factors, leading to variations compared to the sea level pressure (SLP) recorded at a specific elevation, in this case, 245 meters above sea level at Falcon Field.

One possible reason for the surface pressure to be higher than the SLP is the presence of a high-pressure system. High-pressure systems are associated with sinking air and can cause surface pressure to increase. Additionally, local weather conditions, such as temperature and humidity, can affect the density of the air, influencing surface pressure. For example, warmer air is less dense and can result in lower surface pressure.

Conversely, colder air is denser and can lead to higher surface pressure. Furthermore, topographical features like hills or mountains near the location can create localized pressure differences due to variations in elevation. Lastly, atmospheric disturbances, such as the passage of weather fronts or the presence of storms, can cause temporary changes in surface pressure compared to the SLP. Therefore, multiple factors need to be considered when analyzing the differences between surface pressure and the SLP at a specific location like Falcon Field.

Learn more about surface pressure here:

https://brainly.com/question/31792877

#SPJ11

Atmospheric pressure on the peak of Mt. Everest can be as low as 0.197 atm, which is why
climbers need to bring oxygen tanks for the last part of the climb. If the climbers carry 10.0
liter tanks with an internal gas pressure of 40 atm, what will be the volume in liters of the gas
when it is released from the tanks?

Answers

Answer:2,030

Explanation:

40 atm x 10.0 L = 400

400/0.197 atm = 2,030

Other Questions
How far does light travel in 1.2 second?Express your answer to two significant figures and include theappropriate units. Which of the following metrics is the most effective in determining if a Digital Marketing campaign is worthwhile?Select one: a. Cost Per Acquisition b. Number of Clicks c. Return On Investment d. Cost Per Click On six occasions, in a presumed random sample, it took 21, 26, 24, 22, 23, and 22 minutes to clean a university cafeteria. What can we say about the maximum error with 95% confidence, when we use the mean of these values as an estimate of the average time needed to clean the cafeteria? explain why the replacement of a hydrogen atom in ch4 by a chlorine atom causes an increase in bolining point The Grand Strategy Matrix allows for entry of your firm and upto 5 divisions for Harley DavidsonRank the X axis from 1 (Extremely Weak Competitive Position) to9 (Extremely Strong Competitive Positi the nurse reveiws the treatment plan for a patient experiencing intraabdominal hypertension... A bond has an annual coupon of 67%, which makes semiannual payments. The next payment is 2 months away. The bonds quoted price is 108.9 with par of $1000, what is the bond's clean price?(Please use at least 5 decimal places and do not use $ symbol in the answer) Simplify the following polynomial expression. (3x^(2)-x-7)-(5x^(2)-4x-2)+(x+3)(x+2) The polynomial simplifies to an expression that is ________ ________ a with a degree of ________. .Which of the following is an example of a buffer? Can be more than one if neededa.) a weak acid and its conjugate acidb.) a weak acid and its conjugate basec.) a weak base and its conjugate based.) a weak base and its conjugate acid Find out the type of curve : 164 + 204 = 164-4x - 4xy-4 2) Express the equation 2=X +xy" in Parametric form. Explain the Pyramid of Corporate Social Responsibility> Provide several examples of each "layer" of the pyramid. Identify and discuss some of the tensions among the layers or components. In what sense do the different layers of the pyramid "overlap" with each other?In your view, what is the single strongest argument against the idea of corporate social responsibility? What is the single strongest argument for corporate social responsibility? Briefly explain.Differentiate between corporate social responsibility and corporate social responsiveness. Give an example of each. How does corporate social performance relate to these terms? Where do corporate citizenship and sustainability fit in? A biotechnology company produces a therapeutic drug whose concentration has a standard deviation of 0.004 g/l. A new method of producing this drug has been proposed, although some additional cost is involved. Management will authorize a change in production technique only if the standard deviation of the concentration in the new process is less than 0.004 g/l. The researchers randomly chose 10 specimens and obtained the data found below. Assume the population of interest is normally distributed.A. Test the appropriate hypothesis for this situation with = 0.05. provide a copy of your R input and output, state your conclusion in context.B. Find and interpret a 95% upper confidence bound for the true standard deviation. use the interval from your R outputDATA: 16.628, 16.622, 16.627, 16.623, 16.618, 16.63, 16.631, 16.624, 16.622, 16.626 If X-(m, my) find the corresponding (a) mgf and (b) characteristic function. larger numbers of women entering the work force since the early 1970s is an example of a future _____ amount creates a deferred tax asset, whereas a future _____ amount creates a deferred tax liability. If a firm can only set its price so high for its product, then this is considered ________.A) breakeven regulationB) cost-plus regulationC) price-cap regulation Hawk Company manufactures skateboards. Which of the following costs would be classified as both a prime cost and a conversion cost? a. Depreciation on equipment b. Wheels used on each skateboard c. Wages paid to assembly workers. d. Wood used to make the skateboard. e. Factory insurance. does a network interface on a sniffer machine require an ip address please help with this problem. thank you!Hofman Company manufactures car seats in scise plant. Each car seat passes through the assembly department and the testing department. This problem focuses on the assembly department (Click the coon f Learning Goal To practice Problem-Solving Strategy 27.2 Motion in Magnetic Fields. EVALUATE your answer An electron inside of a television tube moves with a speed of 2.56x107 m/s. It encounters a region with a uniform magnetic field oriented perpendicular to its trajectory. The electron begins to move along a circular arc of radius 0.190 m. What is the magnitude of the magnetic field? Part C Calculate the magnitude F of the force exerted on the electron by a magnetic field of magnitude 8.27x10^-4 T oriented as described in the problem introduction. Express your answer in newtons