The law of conservation of momentum and collision, after collision, the kinetic energy will become zero, and the balls rise after the collision is 15.4cm.
What is the law of conservation of momentum?
Momentum is neither created nor destroyed inside a problem domain, according to the principle of momentum conservation, but only modified by forces acting in accordance with Newton's equations of motion.
What is collision?
The abrupt, violent coming together in close proximity of two bodies, such as two billiard balls, a golf club and a ball, a hammer and a nail head, two railroad carriages when coupled, or a falling object and a floor Collision is also known as "impact."
The concepts used to solve this problem are conservation of energy and conservation of momentum.
Initially, use the conservation of energy to find the height that the other ball raises.
Finally, use the conservation of momentum before and after collision to find the height of the putty ball after collision.
The conservation of energy principle is stated as follows:
“Total energy of an isolated system under the action of only conservative forces remains constant.”
The saved energy in an object due to its position is called potential energy.
Explanation:
Momentum is conserved in inelastic collision. Total energy is equal to potential plus kinetic energy.
At equilibrium position, in total energy, the potential energy will become zero before collision.
After collision, the kinetic energy will become zero.
Therefore, after collision, the kinetic energy will become zero, and the balls rise after the collision is 15.4cm.
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A 10-kg mass and a 2.0-kg mass are connected by a light string over a massless, frictionless pulley. If g = 9.8 m/s2 , what is the acceleration of the system when released
For a frictionless pulley with mass connected by a light string, the acceleration for the system when released is equal to 6.5m/s²
How is the acceleration for a frictionless pulley calculated?Using the formula a = (m₂ - m₁)g/(m₁ + m₂)
Where a = acceleration, m = mass and g = gravity
m₁ = 2kg
m₂ = 10kg
g = 9.8m/s²
Applying to the formula, a = (m₂ - m₁)g/(m₁ + m₂) to find the acceleration of a frictionless pulley when released;
a = (10 - 2)(9.8)/(2 + 10)
a = 8(9.8)/12
a = 6.5m/s²
Therefore the system's acceleration 6.5m/s²
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part k what is the magnitude of e at the point (0.50 m , 0.50 m , 0.50 m )? express your answer with the appropriate units.
The values constants magnitude are A=-6 MathrmV cdot m-2 A=6 Vm. B = 4 mathrm V cdot m 3, B = 4 mathrm V m 3, C = 2 V m 6, C = -2 V cdot m 6, l = 2 mathrm V m 6, m = 3 mathrm V m 3, and n = 6 mathrm V n = 6.
How would you define magnitude?Magnitude is simply "distance or quantity" in the context of physics. In terms of motion, it shows the absolute or relative size, direction, or movement of an object. It is used to describe something's size or scope. Magnitude in physics typically refers to a size or quantity.
What does force magnitude mean in physics?The amount that encapsulates the force's strength is known as its magnitude. Consider the following scenario: the force is 10 N in the east. The direction is indicated by "towards east," while the force is indicated by "10." Magnitude can be thought of as simply the "value" or "amount" of any physical quantity.
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if it took 2.17 ms for the bullet to change speed from 439 m/s to the final speed after impact, then what was the magnitude of the average force (in n) exerted by the block on the bullet during this time?
The magnitude of the average force exerted by the block on the bullet during that time is 202,304.147m N (m stands for bullet mass)
We got some values here,
v = 439 m/s
t = 2.17 ms = 2.17 × [tex]10^{-3}[/tex] s
First, we should find the acceleration of the car. We assume that final speed of bullet after impact is 0 m/s, so here we go
a = v/t
a = [tex]v_{1}[/tex] - [tex]v_{0}[/tex] / [tex]t_{1}[/tex] - [tex]t_{0}[/tex]
a = 0 - 439 / 2.17 × [tex]10^{-3}[/tex] - 0
a = -439 / 2.17 × [tex]10^{-3}[/tex]
a = -439,000 / 2.17
a = -202,304.147 m/[tex]s^{2}[/tex]
What actually happens when the result is negative is not the acceleration after the bullet hits the target, but the deceleration.
Now we got the amount of deceleration. We can found the force by the formula of: F = m.a but in the question there is no mass value of the bullet. So, we can answer this question by this way (we can ignore negative values)
F = m.a
F = m × 202,304.147 m/[tex]s^{2}[/tex]
F = 202,304.147m N
What is acceleration?Acceleration (a) is the change of velocity (Δv) over the change of time (Δt), and here is the formula, a = Δv/Δt. This formula allows you to measure how quick velocity changes in meters per second squared (m/s. Acceleration is also a vector quantity, so it includes both magnitude and direction.
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You can have refraction without dispersion, but you cannot have dispersion without refraction. Explain why
Answer:
Explanation:
Because dispersion is a property of refraction. A refractive medium is non-dispersive when waves of all frequencies pass at the same speed, otherwise there is a dispersion that is causing a distortion of waveforms.
Obtain an expression for fringe width with diagram.
Hope this above expression for fringe width helps you.
Answer:
Explanation:
To obtain an expression for fringe width, we need to consider the phenomenon of interference in wave patterns, such as in the case of Young's double-slit experiment. In this experiment, a coherent light source, such as a laser, is passed through two closely spaced slits, creating an interference pattern of light and dark fringes on a screen placed behind them.
The fringe width (w) can be determined using the following expression:
w = λ * D / d
Where:
- λ represents the wavelength of the light used,
- D is the distance between the double-slit and the screen,
- d is the separation between the two slits.
The diagram accompanying this explanation would illustrate a coherent light source passing through the double slits, with the resulting pattern of light and dark fringes observed on the screen placed behind them. The distance D between the double-slit and the screen, as well as the separation d between the slits, would be indicated in the diagram.
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A wooden block resting on a table is given a push. Which of the following describe the motion of the block a moment after the push
Continues at a constant speed for a while, then slows down
O Slows down gradually to a stop
Accelerates at a positive, constant rate
O Moves at a constant speed
Acceleration will be constant while speed will not. The third option describes the motion.
What is Force ?Force can simply be defined as a pull or push. It is the product of mass and velocity and it is measured in Newton.
If a wooden block resting on a table is given a push, the block of mass m will accelerate with acceleration a and stop due to friction
One of the following options that describe the motion of the block a moment after the push is the third option. That is, accelerates at a positive, constant rate.
Since the block will be accelerating, the speed of the block can never be constant.
Therefore, accelerates at a positive, constant rate is the option that describe the motion of the block a moment after the push.
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Toy cars 1, 2, and 3 are launched horizontally with the trajectories shown below. Cars 1 and 2
are launched from a 15 m high cliff, while Car 3 is launched from a 30 m high cliff. We can
ignore air friction.
Initial launch speed of the cars are in order as Vcar 1 = Vcar 2< Vcar 3
Speed (often abbreviated as "s") is a scalar variable that describes how much an object's location changes over time or how much it changes per unit of time. The average speed of an item in a period of time is the distance traveled by the object divided by the duration of the period.
Time divided by distance are the speed-related metrics.. The meter per second (m/s) is the SI unit of speed, while the kilometer per hour (kph) is the most often used unit of speed in daily life.
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A 5000-kg freight car moving at 2 m/s collides with a 10,000-kg freight car at rest. They couple upon collision and move away at.
The correct answer of velocity is 0.66 m/s or 2 / 3m/s, at which the couple collide.
What is Collision concept?
A collision is a situation in which two or more objects.
Given data:
m1=5000kg
m2=10000kg
v1=2m/s
v2=0
An inelastic collision conserves momentum:
m1v1+m2v2 = (m1+m2) vboth
m1v1+m2v2 = (m1+m2) vboth
vboth =m1v2+m2v2m1+m2
vboth =(5000kg)(2m/s)+(10000kg)(0) / (5000kg+10000kg)
vboth= 10000 / 15000 = 2 / 3 m/s
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One of the tallest buildings in the world is the taipei 101 in taiwan, at a height of 1671 feet. Assume that this height was measured on a cool spring day when the temperature was 15. 5°c. You could use the building as a sort of giant thermometer on a hot summer day by carefully measuring its height. Suppose you do this and discover that the taipei 101 is 0. 471 foot taller than its official height. What is the temperature, assuming that the building is in thermal equilibrium with the air and that its entire frame is made of steel?.
Since a bar of length L₀ with a thermal expansion coefficient would experience a length fluctuation ΔL when the temperature changes ΔT, the equation of linear thermal expansion ΔL = ∝LΔT must be used.
The linear thermal expansion equation tells us that a ΔT = (ΔL/∝L₀) = 22.14° based on the following values: ΔL = 0.481 foot, L₀ = 1671 feet, and ∝ = 0.000013 per centigrade degree (this is simply the linear thermal expansion of steel that must be found in a table). As previously stated, these degrees are centigrades (Celsius or Kelvin, it makes no difference as this is merely a variation), and the foot units cancel on the equation, demonstrating that no additional conversion was required.
Our new temperature must be T = T₀ + ΔT = 35.14°C because our last reading on a chilly spring day was 13.0°C.
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please match the luminosity class to the description. not all answers will be used.-these extremely luminous stars are among the largest ever observed and represent the very short-lived old age phase of high mass stars.-these luminous stars represent the short-lived old age phase of low mass stars. when our sun hits this phase, it could become large enough to engulf the earth.-this phase represents the longest stage of a star's life. this luminosity class has stars with a large range in temperature (hottest to coolest) and luminosity (brightest to dimmest), but they are all bound by one common trait: they are powered by hydrogen fusion only in the core of the star.
The core of a red giant is contracting, but the outer layers are expanding as a result of hydrogen fusion in a shell outside the core
Nuclear fusion of hydrogen to form helium happens evidently in the solar and different stars. It takes area best at extremely high temperatures. Scientists are attempting to find methods to create controlled nuclear fusion reactions on earth.
Researchers at Lawrence Livermore countrywide Laboratory's country-wide Ignition Facility in California have spent over a decade perfecting their method and the feature now showed that the landmark test conducted on eight August 2021 did, in fact, produce the primary-ever successful ignition of a nuclear fusion reaction.
People had been capable of cause fusion, but in methods that might be uncontrolled, like in thermonuclear guns sometimes called hydrogen bombs. Fusion has additionally been proven in laboratories, but below conditions that eat a long way, extra strength than the reaction produces.
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name one advantage of the moment magnitude scale, and one disadvantage of the moment magnitude scale.
The main advantage why the moment magnitude scale is the most dependable approach to calculating the relative length of huge earthquakes
It is that its underlying calculation technique avoids the trouble of significance saturation because it's far based on measurements of an earthquake's overall power earthquake.
Mainly, for very big earthquakes, moment importance offers the most dependable estimate of earthquake length. the moment is a bodily quantity proportional to the slip at the fault expanded by using the place of the fault floor that slips; it is related to the full strength launched in the earthquake.
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at what velocity will the peak voltage of a generator be 450 v, if its 565-turn, 8.00-cm diameter coil rotates in a 0.250-t field?
The calculated velocity is 7295 rpm. Velocity is the rate and direction of an object's movement, whereas speed is the time rate at which an object is moving along a path.
According to Faraday's law of induction, an induced electromotive force is produced when a magnet rotates inside a coil. Alternatively said, mechanical energy is changed into electrical energy. Electrical generators are built on the principles of this physical phenomenon. Let's calculate the coil cross section's area A.
A=π 4 d 2 \s= 5.0265 × 10 − 3 m2
Step 2
The following equation describes the greatest induced electromotive force (or peak voltage) in a coil:
ε p=N A B ω
Step 3
Let's use the equation above to calculate the angular velocity. Recall that 1 rpm is equal to 0.10472 radians per second, and 1 tesla is equal to 1 volt per second divided by 1 square meter.
= = p N A = 7295 r pm
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A 15.5kg block is dragged horizontally at a constant force of 167 N at an angle of 27.8 above the horizontal. The block is displaced at 59m, and the coefficient of kinetic friction is 0.232. Acceleration is 9.8 m/s^2. Find the work done by 167 N. Answer in units of J.
The work done by the constant force of 167 N, given that the block is displaced at 59 m is 8715.97 J
How do I determine the work done?We know that work done is defined as:
Work done (Wd) = force (F) × distance (d)
Wd = fd
Since angle projection is involved, the work done is defined as:
Wd = FdCosθ
With the above formula, we can detertmine the work done as illustrated follow:
Force (F) = 167 NAngle (θ) = 27.8 degreesDistance (d) = 59 mWorkdone (Wd) =?Wd = FdCosθ
Wd = 167 × 59 × Cos 27.8
Wd = 9853 × 0.8846
Wd = 8715.97 J
Therefore, we can conclude from the calculation made above that the work done is 8715.97 J
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he wavelength of blue light is approximately 4.0 x 10 -7 meters. calculate the frequency of blue light in hertz. a. 2.5 x 10 7 b. 1.2 x 102 c. 3.3 x 10 -9 d. 7.5 x 1014 e. 1.2 x 10 1
The frequency of blue light in hertz is d.) 7.5 x 1014.
What is frequency of a light and how is it calculated?
The electromagnetic radiation differs from other radiations through frequency of that wave. Light is one of the forms of electromagnetic radiations. A hertz is said to be the number of oscillations in one second. For a wave, hertz is the number of wavelengths per second. All types of light travels at a same speed irrespective of their frequency.
The equation that relates frequency and wavelength is:
c= fλ
where, c= speed of light
λ = wavelength in meters
f= frequency in hertz
c= 3×10 8 m/s
λ = 4.0 x 10 -7 meters.
f=c/λ
⇒3×10 8 / 4.0 x 10 -7
⇒7.5 x 1014 Hz.
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When the temperature of a gas is increased from 27° the average speed of the molecules increases three-fold. Calculate the final temperature of the gas. (prove by calculation)
The final temperature of the gas is obtained as 2700 K or 2472° C.
What is the relationship between the speed of the gas and the temperature?We know that when the temperature of a gas is increased, the speed of the gas is also increased. Given that we have the initial temperature of the gas as 27° C or 300 K.
Given that;
[tex]V_{1}[/tex]/[tex]V_{2}[/tex] = √[tex]T_{1}[/tex]/[tex]T_{2}[/tex]
Where the [tex]V_{1}[/tex] and [tex]V_{2}[/tex] refers to the initial and the final velocities while the [tex]T_{1}[/tex] and the [tex]T_{2}[/tex] refer to the initial and the final temperatures.
[tex]V_{1}[/tex]/3 [tex]T_{1}[/tex] = √300/ [tex]T_{2}[/tex]
1/3 = √300/ [tex]T_{2}[/tex]
1/9 = 300/ [tex]T_{2}[/tex]
[tex]T_{2}[/tex] = 2700 K or 2472° C
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bob and bill have the same weight and wear identical shoes. keeping both feet flat on the floor and the body straight, bob can lean over farther than bill can before falling. whose center of gravity is closer to the ground? account for your answer.
The taller individual must have reclined less than the smaller man because their shoes are the exact same size (leaning in terms of angle of body made with the ground). Bob's center of mass is consequently located closer to the ground.
what is centre of mass?
A position established in relation to an individual or group of items is the center of mass. It represents the system's average location as weighted by each component's mass. The center of mass for straightforward stiff objects with homogeneous density is found at the midpoint.
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The taller individual must have reclined less than the smaller man because their shoes are the exact same size (leaning in terms of angle of body made with the ground). Bob's center of mass is consequently located closer to the ground.
What is centre of mass?
In physics, the centre of mass of a distribution of mass in space (also known as the balancing point) is the unique location at which the weighted relative position of the dispersed mass accumulates to zero. This is the point at which a force can be applied to generate a linear acceleration without causing an angular acceleration. Calculations in mechanics are frequently simplified when expressed in terms of the centre of mass. It is a hypothetical point at which the entire mass of an item can be considered to be concentrated in order to visualise its motion. In other words, the centre of mass is the particle equivalent of a particular object for the purposes of applying Newton's equations of motion.
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bumper cars a and b undergo a collision during which the momentum of the combined system is conserved. which equation(s) correctly states the principle of conservation of momentum? check all that apply.
Equation A. P A i + P B i = P A f + P B f and D.ΔPA + ΔPB=0. correctly states the principle of conservation of momentum.
Momentum is the product of the mass and pace of an object. it's miles a vector quantity, owning a magnitude and a route. If m is an item's mass and v is its velocity, then the object's momentum is p.
Momentum is manufactured from the mass of a particle and its velocity. Momentum is a vector quantity; i.e., it has both value and path. Isaac Newton's 2d regulation of motion states that the time price of trade of momentum is the same as the pressure performed at the particle. See Newton's legal guidelines of movement.
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Disclaimer:- your question is incomplete, please see below for the comlete question.
Bumper cars a and b undergo a collision during which the momentum of the combined system is conserved. which equation(s) correctly states the principle of conservation of momentum? check all that apply.
A. P A i + P B i = P A f + P B f
B. P A i + P A f = P B i + P B f
C. ΔPA = ΔPB
D. ΔPA + ΔPB=0
which of the following would be the closest estimate to the number of times the sun has orbited the galactic center?
The closest estimate to the one times the sun has orbited the galactic center.
The Milky Way galaxy's rotational and barycenters are located at the Galactic Center . The Sagittarius A supermassive black hole, a compact radio source that is almost exactly at the galactic rotational center, is the object's central massive object. It has a mass of about 4 million solar masses. The Galactic Center is frequently referred to as a type of "cosmic homing signal" by astrologers. Far away on one of the spiraling arms of the galaxy, it is the hub around which our tiny solar system slowly revolves. It is enormous and unknowable. Whatever process produced the Milky Way is represented by the GC. The most difficult conditions for star formation can be found in the Galactic Center, which has more than 80% of the Milky Way Galaxy's dense molecular gas, high temperatures, significant turbulence, complex magnetic fields, and a powerful gravitational potential well.
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which of the statements below best describes longshore current? group of answer choices outgoing swash moves perpendicular to the beach. incoming backwash of water moves parallel to the beach. sand moves parallel to the beach. incoming swash of water moves parallel to the beach.
The statement which describes the longshore current is d.) incoming swash of water moves parallel to the beach.
What is a longshore current?
When the waves reach a beach, it liberates a large amount of energy that is usually generates a current and runs parallel to the shore. Such type of current is said to be longshore current.
Sea floor, shoreline features and depth of the water are the main factors on which the speed of the waves reaching the shore depends. The waves make their movement towards the beach where various segments of wave itself encounters before other and this results the segments to slow down. They do not reach the beach perfectly parallel to the shoreline. But when we talk about the longshore current, it moves parallel to the coastline or beach.
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a .5 kg steel ball is suspended from teh ceiling by a 2.5 m long string. the ball is pulled to the side until it is 1 m above its lowest point and then released from rest. the tension in the string when the ball passes through its lowest position is
The tension in the string when the ball passes through its lowest position is 5N (rounded).
The pulling force transmitted axially by the means of a string, a rope, chain, or similar object, or by each end of a rod, truss member, or similar three-dimensional object; tension might also be described as the action-reaction pair of forces acting at each end of said elements.
How to calculate the tension in the string when the ball passes through its lowest position?
Tension = m*g
T = 0.5 * 9.8
= 4.9N
Approximately the tension would be equal to 5N (rounded)
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A 53 kg person is being dragged in their sleeping bag to the lake by a 476 N force at an angle of 40 degrees. If the coefficient of friction between the sleeping bag and the ground is 0.37:
a.) What is the force of gravity acting on the person?
b.) What is the normal force acting on the person? (Use net force in y-direction)
c.) What is the force of friction acting on the person?
d.) What is the acceleration of the person in the sleeping bag?
(a) The force of gravity acting on the person is 519.4 N.
(b) The normal force acting on the person is 519.4 N.
(c) The force of friction acting on the person is 192.18 N.
(d) The acceleration of the person in the sleeping bag is 3.25 m/s².
What is the force of gravity acting on the person?
The force of gravity acting on the person is calculated as follows;
W = mg
where;
m is the mass of the persong is acceleration due to gravityW = 53 kg x 9.8 m/s²
W = 519.4 N
The normal force acting on the person is calculated as follows;
Fn = W
where;
Fn is the normal force on the person acting upwardsW is the weight of the person acting downwardsFn = 519.4 N
The force of friction acting on the person is calculated as follows;
Ff = μFn
where;
μ is coefficient of frictionFn is normal forceFf = 0.37 x 519.4 N = 192.18 N
The net force on the person is calculated as follows;
F(net) = F cosθ - Ff
where;
F cosθ is the force applied along the horizontalFf is force of frictionF(net) = 476 x cos(40) - 192.18
F(net) = 172.46 N
The acceleration of the person in the sleeping bag is calculated as follows;
a = F(net) / m
a = (172.46) / (53)
a = 3.25 m/s²
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What is the average speed in mph for a car that travels 400 miles in 5 hours and 20 minutes?.
For an automobile to cover 400 miles in 5 hours and 20 minutes, it must travel at an average speed of 75 mph.
What is the typical speed?Calculating average speed involves dividing the whole distance traveled by the total time it took to cover that distance. Speed is the rate of movement of something at a specific time. Average speed refers to the average speed during the course of a journey.
What drives us to determine average speed?Average In order to comprehend the pace of a journey, speed is crucial. On a travel, the speed could occasionally change. Finding the average speed then becomes crucial to getting an idea of how quickly the route will be finished.
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if the sun had been born with a smaller, lower-mass companion star, would that star be a red dwarf today or would it already be dead?it would still be a red dwarf today regardless of how much less mass than the sun it has, since its lifetime would be inherently longer than the sun'sit would be a red dwarf today only if it had much less mass than the sun (for example, a star with 20% msun)it would be dead by today only if if it had a little less mass than the sun (for example, a star with 90% msun)it would be dead today only if it had much less mass than the sun (for example, a star with 20% msun)it would be a red dwarf today only if it had a little less mass than the sun (for example, a star with 90% msun)
If the Sun had been born with a smaller, lower-mass companion star, would that star be a red dwarf today or would it already be dead, it would still be a red dwarf today regardless of how much less mass than the Sun it has, since its lifetime would be inherently longer than the Sun's.
Stars sparkle and shine—they appear to have an incandescence of their own even when they are bathed in the spotlight—so it stands to reason that they are stars. However, they are "stars" in a much more specific sense because they are a product of the long-standing Western cultural tendency to equate humanity with the heavenly.
Not all celebrities live alone. About half of all stars in our galaxy, the Milky Way, have a companion and journey through space in a binary system.
Now, the long-lost partner of the Sun could be found anywhere in the Milky Way. According to a team of Harvard astronomers, our solar system was once a binary system because the Sun formerly had a companion star.
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A 200 N object is resting on a surface with a maximum coefficient of static friction s = 0.15. A person pushes horizontally with a force of 20 N. Calculate how much force the push needs to be in order to get the object to start moving across the floor.
More than 30 N force needs to be in order to get the object to start moving across the floor.
F=μN
μ= 0.15
N= 200 N
F=200 N×0.15
F=30 N
In mechanics, a force is any action that seeks to preserve, modify, or deform a body's motion. Isaac Newton's three principles of motion, which are outlined in his Principia Mathematica, are frequently used to illustrate the idea of force (1687).
Newton's first law states that unless a force is applied to a body, it will stay in either its resting or uniformly moving condition along a straight path. According to the second law, when an external force applies on a body, the body accelerates (changes velocity) in the force's direction.
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Look at the diagram below. What is the total resistance of the resistors in this circuit?
The total resistance of the resistors in the circuit from the diagram is 20 Ω.
What is resistance?Resistance is a measure of the opposition to current flow in an electrical circuit.
To calculate the total resistance of the resistors in parallel, we use the formula below.
Note: Both resistors are connected in series.
Formula:
For series connection
R = R₁+R₂................ Equation 1Where:
R = Total resistance of the resistor in the circuit.From the diagram,
Given:
R₁ = 10 ΩR₂ = 10 ΩSubstitute these values into equation 1
R = 10+10R = 20 ΩHence, the total resistance is 20 Ω.
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If a 50 kg object is at a location 25,600 km from Earth's center, what is the gravitational force exerted by the object on earth? In what direction does that force act?
The item is pushing against it with a force of 30.4 N in a downward direction.
What would the weight of a 50 kilogram object be at the Earth's core?Since there is no net gravitational pull in the earth's center, the weight will be zero but the mass will not change. Thus, 50 kg will be the mass of the earth's core.
When two objects of mass M1 and M2 are separated by R, the gravitational force between them is expressed as follows:
F = G*(M1*M2)/R^2
G = 6.674*1(-11) m3/(kg*s2), where G is the gravitational constant.
M1, the object's mass, is 50 kg, and R is its distance, in.
F = G*(M1*M2)/R^2
G = 6.674*1(-11) m3/(kg*s2), where G is the gravitational constant.
M1, the object's mass, is known to be 50 kg.
This distance, R, is 25,600 kilometers.
However, keep in mind that this should be stated in meters and
1km = 1000m
Consequently, 25,600km equals (25,600*1000)m, or 25,600,000 m.
M2 is the equivalent of 5.972*10(24) kg, which is the mass of the Earth.
F = (6.674*1(-11) m3/(kg*s2))*(50kg*5.972*10(24) kg)/ (replacing all of those in the force equation) ( 25,600,000 m)
^2\sF = 30.4 N
Given that the gravitational force is attracting, it will act in a manner that is favorable to the 50 kg item.
Consider the following as the second Newton's law:
F = M*a
Accordingly, the acceleration brought on by the item on Earth is 30.4N = 5.972*10(24) kg*a
a = 30.4N/((5.972*10(24) kg)) = 5.09*10(-24) m/s
Nearly everyone can feel the acceleration.
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30. An applied force of 60 N is used to accelerate a 50 N object to the right across a frictional surface. The object
encounters a 20 N of friction. Determine the coefficient of friction
a. 0.4
b. 2.5
c. 0.83
d. 3
Mu'
Coefficient of friction is calculated to be 0.4. Therefore, a) will be the correct answer .
What do you mean by frictional force ?Frictional force is that force which is generated by two surfaces that contact and slide against each other. Factors affecting the frictional force are the surface texture and the amount of force impelling them together.
The frictional force is said to be a contact force as frictional force occur when two surfaces come in contact with each other.
Given applied force = 60 N
weight of object = 50N; friction force = 20N
As we know that, Coefficient of friction = force of friction/normal force
= 20/50
Coefficient of friction = 0.4
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1. For the series circuit in Fig. 21.51:
a. Find the value of XC for resonance.
b. Determine the total impedance of the circuit at resonance.
c. Find the magnitude of the current I.
d. Calculate the voltages VR, VL, and VC at resonance. How are VL and VC related? How does VR compare to the applied voltage E?
e. What is the quality factor of the circuit? Is it a high or low Q circuit?
f. What is the power dissipated by the circuit at resonance?
a) For resonance this circuit should be resistive hence Xc = 30 ohm.
b) Total impedance = |2+30i=30i| = 2ohm.
c) Current=50mV/2=25mA.
d) |VL|=|Vc|=30*25mA=0.75V=750mV since impedance same and they are in series VR= 50mV.
e) Q=wL/R=w*L/R=30/2=15 since wL = 30ohm it is a high Q circuit.
f) Power disspated=i^2R = (25*25*10^(-6).)*2 = 1.25mJ.
The higher the Q the lower the energy loss rate and the slower the vibration damping. A pendulum suspended from high-quality bearings and oscillating in the air has a high Q, while a pendulum immersed in oil has a low Q. High-Q resonators have lower damping, so they oscillate or oscillate longer.
A circuit's figure of merit Q is the electrical energy stored in the circuit divided by the energy consumed in one cycle. The Q of a circuit is an important quantity in certain applications, such as in electromagnetic waveguides and radio frequency cavities.
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What theory did Heisenberg propose?
Werner Heisenberg proposed the Unified Field Theory.
What is the Unified Field Theory?
A unified field theory (UFT) in physics is a sort of field theory that enables all of the concepts often associated with fundamental forces and elementary particles to be expressed in terms of two physical and virtual fields. Modern physics discoveries suggest that forces are instead characterised and disrupted by intermediary phenomena known as fields rather than being communicated directly between interacting objects. The fields are traditionally united into a single physical field as a duality. The term "unified field theory" was first used by Albert Einstein, who sought to combine electromagnetism and his general theory of relativity, and it has been an active area of study for more than a century.
Werner Heisenberg concentrated on Unified Field Theory in his final years of work. This "theory of everything" aims to explain the fundamental forces and elementary particles.
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what is the approximate numerical value of the slope of the lineweaver-burk plot of these kinetic data?
Using the theories of lineweaver-burk, we got that 0.05 as the approximate numerical value of the slope of the lineweaver-burk plot of these kinetic data.
The Lineweaver–Burk plot is correct when enzyme kinetics obey ideal second-order kinetics, however the non-linear regression is needed for systems that do not behave ideally. The double reciprocal plot distorts error structure of the data, and is therefore not most accurate tool for the determination of the enzyme kinetic parameters
Slope is equal to Km/Vmax
Km is half of Vmax
Vmax is 200 um/min, so Km is found at 100 um/min. At 100 um/min ,we know that the substrate concentration is 10 um. Thus, the Km is 10 um, which is equivalent to 10/200= 0.05
Hence, the approximate numerical value of the slope of the lineweaver-burk plot of these kinetic data is 0.05
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