Under a pressure of 862 Pa, a gas has a volume of 752 L. The pressure is increased, without changing the temperature, until the volume is 624 L. What is the new pressure?

Answers

Answer 1

Claims that if temperature is kept constant, the end result of both volume and pressure is constant. The new level is 1036 Pa, which is how this can be expressed.

How does pressure work?

So either a strong force or a strong force applied over a short area can cause a lot of pressure. When we stand up compared to when we are walking, more of our feet are in proximity to the earth. Pressure would be lower if there was more surface area in contact.

Describe a force?

An external force is an agent that has the power to alter the resting or moving condition of a body. It has a direction and a magnitude. There are both living things and non-living objects in the concept of a force.

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Related Questions

URGENT 50 POINTS
Show all Steps of your work.
7. Mohammed whose mass is 50kg swings back and forth on a long vine makes an angle 45 from the vertical resting position. His friend Abdella notices in amazement that he makes 30 complete swings in 2.0 minuies.
(a) What is the frequency (in hertz) of Tarzan's swing?
(b) What is the period of oscillation?
(c) How long is the vine he is using?
(d) Calculate the Restoring force on Mohammed?

Answers

The frequency of oscillation of the swing is 0.25 Hz.

The time period of oscillation of the swing is 4 s.

The length of the vine of the swing is 3.97 m.

The restoring force acting on Mohammed is 692.9 N.

Mass of Mohammed, m = 50 kg

Angle made by the vine with the vertical, θ = 45°

Number of complete swings made by Mohammed, n = 30

Time taken for this swing, t = 2 minutes = 120 seconds

a) The frequency of the swing is defined as the number of complete oscillations in one second.

So, the frequency of oscillation of the swing is,

f = n/t

f = 30/120

f = 0.25 Hz

b) The time period of oscillation of the swing is,

T = 1/f

T = 1/0.25

T = 4 s

c) The expression for the time period is given by,

T = 2π√(l/g)

T² = 4π² x (l/g)

l/g = T²/4π²

Therefore, the length of the vine of the swing is,

l = T²g/4π²

l = 4² x 9.8/4 x (3.14)²

l = 3.97 m

d) The restoring force acting on Mohammed,

F = mg sinθ

F = 50 x 9.8 x sin 45°

F = 490 x 1/√2 = 490/1.414

F = 692.9 N

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URGENT QUICK N EASY!
50 POINTS!
LOOK AT THE PICTURE!!

PART C!!
Find the maximum magnitude of the acceleration.
Express your answer using two significant figures.

Answers

1. The period of the mass is 0.47 second

2. The amplitude is 0.02 m

1. How do i determine the period?

The period of the mass can be obtained as illustrated below:

Mass attached (m) = 0.95 KgSpring constant of spring (K) = 170 N/mPi (π) = 3.14Period (T) =?

T = 2π√(m/k)

T = (2 × 3.14) × √(0.95 / 170)

T = 6.28 × √(0.95 / 120)

T = 0.47 second

Thus, from the above calculation, we can conclude that the period is 0.47 second

2. How do i determine the amplitude?

The amplitude of the wave can be obtained as shown below:

Mass attached (m) = 0.95 KgSpring constant of spring (K) = 170 N/mMaximum speed (v) = 0.25 m/sAmplitude (A) =?

A = v√(m/k)

A = 0.25 × √(0.95 / 170)

A = 0.02 m

Thus, the amplitude is 0.02 m

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What new question occurred to scientists after they discovered that the
ocean floor was not flat?
O A. Are there bathtubs that have shapes similar to that of the Mid-
Atlantic Ridge?
OB. Why is the ocean floor not flat and smooth like the bottom of a
bathtub?
C. How much cable will it take to go from North America to England?
OD. How deep is the ocean?

Answers

Answer:

b

Explanation:

The answer is B. Why is the ocean floor not flat and smooth like the bottom of a bathtub?

Scientists were surprised to find that the ocean floor was not a flat and featureless plain, but rather had mountains, valleys, and other geological features. This discovery raised questions about how these features formed and what processes were involved. Scientists began to investigate the causes of these features, such as plate tectonics and volcanic activity, and how they might have shaped the ocean floor over millions of years. Understanding the complex and dynamic nature of the ocean floor has since become an important area of study in earth science and oceanography.

Can u please help with first two tasks
Workbook:complete physics for Cambridge secondary first

Answers

You can generate electricity by moving a coil of wire in a magnetic field. The size of the voltage  depends on the speed of the movement and the strength of the magnet

In a model generator, a coil rotates between the poles of a magnet. If a coil with more turns is used, the voltage is greater. If the coil spins faster, the voltage is also greater.

What is electromagnetic induction?

Electromagnetic induction is a phenomenon in physics that occurs when a varying magnetic field produces an electric current or voltage in a conductor. It was first discovered by Michael Faraday in the early 19th century and is now a fundamental principle of modern electrical technology.

When a conductor, such as a wire, is moved through a magnetic field, or when the magnetic field itself changes, a voltage is induced across the ends of the conductor. The magnitude of the induced voltage is proportional to the rate of change of the magnetic field and the number of turns of wire in the coil.

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Observe the distance between the compressions shown in the image. What do you notice about the sound waves in front of the truck compared to the sound waves behind the truck? Was your prediction correct?

Answers

The sound waves in front of the truck compared to the sound waves behind the truck  is using Doppler effect.

The prediction is correct.

What is the doppler effect?

The Doppler effect or Doppler shift is described as  the apparent change in frequency of a wave in relation to an observer moving relative to the wave source.

The apparent frequency heard by the listener differs from the frequency of the source of sound when there is relative motion between the source and listener.

The perceived frequency increases as the source and the listener go closer together, and it decreases as they get farther apart. It's called the Doppler effect.

The wave-fronts move closer as the source and listener approach closer to each other. Thus, the observed frequency is greater than the actual.

The pitch depends on frequency, greater is the pitch

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A sound wave travelling at 330m/s has a frequency of 220Hz. What is its wavelength?

Answers

Answer: 1.5 meters.

Explanation:

Wavelength is equal to λ = v/f. We are given the following:

v = 330 m/s

f = 220 Hz

We can plug this in to find the wavelength.

[tex]wavelength = \frac{330}{220} \\wavelength = 1.5 m[/tex]

If the adhesive force between solid molecules and liquid molecules is relatively weak, the phenomenon of non infiltration will be formed. True or false?

Answers

If the adhesive force between solid molecules and liquid molecules is relatively weak, the phenomenon of non infiltration will not  be formed. False.

What is non-infiltration about?

If the adhesive force between solid molecules and liquid molecules is relatively weak, the phenomenon of infiltration (or wetting) will be formed, as the liquid will spread out over the surface of the solid.

Non-infiltration is a phenomenon where a liquid is unable to wet or spread over the surface of a solid due to the strong adhesive force between the solid and liquid molecules. Instead of spreading out, the liquid will form droplets on the surface of the solid.

Non-infiltration is the opposite of infiltration (or wetting), where a liquid is able to spread over the surface of a solid due to a weak adhesive force.

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Katie, a 60 kg person, stands at the edge of a well and holds a rope attached to an 8 kg bucket of water resting in the water below. With her first tug up on the rope, the bucket speeds up to 3 m/s while it rises 0.9 m. What is the bucket’s acceleration? How quickly is Katie accelerating? How hard is Katie pulling on the bucket? What is the normal force on Katie?

Answers

The acceleration of the bucket is 5 m/s^2.Katie is pulling on the rope with a force of 1075.6 N.The normal force on Katie is -487.6 N

Force calculation

To solve this problem, we can use the following equations:

F_net = ma (Newton's second law)

F_tension - F_gravity - F_buoyancy = ma (sum of forces on the bucket)

F_gravity - F_tension - F_normal = 0 (sum of forces on Katie)

where:

F_tension is the tension in the ropeF_gravity is the weight of the bucket and KatieF_buoyancy is the buoyant force on the bucketF_normal is the normal force on Katiea is the acceleration of the bucket

First, we can find the tension in the rope:

F_net = ma

F_tension - F_gravity - F_buoyancy = ma

F_tension = ma + F_gravity + F_buoyancy

The weight of the bucket is:

F_gravity_bucket = m_bucket * g = 8 kg * 9.8 m/s^2 = 78.4 N

The weight of Katie is:

F_gravity_Katie = m_Katie * g = 60 kg * 9.8 m/s^2 = 588 N

The buoyant force on the bucket is equal to the weight of the water displaced by the bucket, which is:

F_buoyancy = m_water * g = m_bucket * g = 78.4 N

Substituting these values, we get:

F_tension = (m_bucket + m_Katie) * a + F_gravity_bucket + F_gravity_Katie + F_buoyancyF_tension = (8 kg + 60 kg) * a + 78.4 N + 588 N + 78.4 NF_tension = 68 a + 744.8 N

Next, we can find the acceleration of the bucket:

We can use the kinematic equation:

v^2 = u^2 + 2as

where:

v is the final velocity (3 m/s)u is the initial velocity (0 m/s)s is the displacement (0.9 m)

Solving for a, we get:

a = (v^2 - u^2) / 2sa = (3 m/s)^2 / (2 * 0.9 m)a = 5 m/s^2

Therefore, the acceleration of the bucket is 5 m/s^2.

Next, we can find the tension in the rope:

F_tension = 68 a + 744.8 NF_tension = 68 * 5 m/s^2 + 744.8 NF_tension = 1075.6 N

Therefore, Katie is pulling on the rope with a force of 1075.6 N.

Finally, we can find the normal force on Katie:

F_gravity_Katie - F_tension - F_normal = 0

F_normal = F_gravity_Katie - F_tension

F_normal = 588 N - 1075.6 N

F_normal = -487.6 N

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A block of wood weighing 15 N rest on top of the table. How mush force is exerted by the table on the blockso that it will remainat rest. Explain your answer

Answers

The force exerted by the table on the block to keep it at rest is equal in magnitude but opposite in direction to the force exerted by the block on the table.

This is due to Newton's third law of motion, which states that for every action, there is an equal and opposite reaction.

Therefore, the force exerted by the table on the block is 15 N, the weight of the block. This is because the block is at rest and not accelerating, which means that the net force acting on it must be zero.

Since the force of gravity acting on the block is 15 N and it is not accelerating, the force exerted by the table on the block must also be 15 N but in the opposite direction, which balances out the gravitational force.

In summary, the force exerted by the table on the block to keep it at rest is 15 N, which is equal in magnitude but opposite in direction to the force exerted by the block on the table.

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why does pure water increase in volume when heated​

Answers

Answer:

Pure water increases in volume when heated due to the phenomenon of thermal expansion. When water is heated, the kinetic energy of its molecules increases, causing them to move faster and spread out. This increased molecular movement leads to an increase in the average distance between water molecules, resulting in an expansion of the water.

Explanation:

.......

5. How mach work is repuried to increase the speed of 4kg object from 20m/s to 40m/s

Answers

To calculate the work required to increase the speed of a 4 kg object from 20 m/s to 40 m/s, we need to use the formula:

work = 0.5 × mass × (final velocity^2 - initial velocity^2)

Here, the mass of the object is 4 kg, the initial velocity is 20 m/s, and the final velocity is 40 m/s.

So, work = 0.5 × 4 × (40^2 - 20^2)
= 0.5 × 4 × (1600 - 400)
= 0.5 × 4 × 1200
= 2400 joules

Therefore, the work required to increase the speed of a 4 kg object from 20 m/s to 40 m/s is 2400 joules.

the period of a pendulum is measured to be 3m, in the rest frame of the pendulum. What is the period of the pendulum when measured by observer moving at speed of 0-95c with respect to The pendulum ? ​

Answers

Answer:The period of a pendulum, as measured by an observer moving at a relativistic velocity with respect to the pendulum, can be calculated using the concept of time dilation from special relativity.

The formula for time dilation in special relativity is given by:

Δt' = Δt / sqrt(1 - (v^2 / c^2))

where:

Δt' is the time interval measured by the moving observer

Δt is the time interval measured in the rest frame of the pendulum

v is the relative velocity between the pendulum and the moving observer

c is the speed of light in vacuum

In this case, the relative velocity between the pendulum and the moving observer is 0.95c, where c is the speed of light in vacuum (approximately 3 x 10^8 meters per second). Let's assume the period of the pendulum as measured in its rest frame is 3 seconds.

Plugging in the values into the formula:

Δt' = 3 / sqrt(1 - (0.95c)^2 / c^2)

Simplifying the expression:

Δt' = 3 / sqrt(1 - 0.95^2)

Using a calculator to evaluate the square root and simplify further, we get:

Δt' = 3 / sqrt(0.0975)

Δt' = 3 / 0.3125

Δt' ≈ 9.6 seconds

So, the period of the pendulum, as measured by an observer moving at a speed of 0.95c (95% of the speed of light) with respect to the pendulum, would be approximately 9.6 seconds. This demonstrates the concept of time dilation in special relativity, where the observed time interval changes due to relative motion at relativistic velocities.

Explanation:

How much more force can the larger piston exert compared with the force applied to the smaller piston

Answers

The force that the larger piston can exert is directly proportional to the difference in the surface area of the two pistons. Assuming that the pressure is the same on both pistons, the larger piston can exert a force that is equal to the force applied on the smaller piston multiplied by the ratio of the surface area of the larger piston to the surface area of the smaller piston.

For example, if the surface area of the larger piston is four times larger than the surface area of the smaller piston, then the larger piston can exert a force that is four times greater than the force applied on the smaller piston.

Which of the following statements best summarizes the law of conservation of energy before and after a change in a system?

A. The potential energy is the same before and after the change, and
the kinetic energy is the same before and after the change.
B. The sum of the potential energy before and after the change
equals the sum of the kinetic energy before and after the change.
C. The sum of the potential energy and the kinetic energy before the
change equals the sum of the potential energy and the kinetic
energy after the change.
D. The potential energy equals the kinetic energy before the change
and after the change.

Answers

The statement that best summarizes the law of conservation of energy before and after a change in a system is "The sum of the potential energy and the kinetic energy before the change equals the sum of the potential energy and the kinetic energy after the change"

What is the law of conservation of energy?

The law of conservation of energy is a fundamental principle of physics that states that the total amount of energy in a closed system remains constant over time. This means that energy cannot be created or destroyed, only transformed from one form to another.

The above statement summarizes the law of conservation of energy, which states that energy cannot be created or destroyed, only transformed from one form to another. The total amount of energy in a closed system remains constant before and after any change, even though the energy can change from one form to another.

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How does the ecotourism industry act as an ecosystem service that benefits tourists, the people that live in the area, and the people that work in the industry?

Answers

It promotes enjoyable experiences for both guests and hosts; It lessens the negative effects of tourism on the environment; It increases local residents' access to work and financial prospects; It promotes conservation by offering financial advantages in its direction.

What is ecotourism?

The World Tourism Organization defines ecotourism as all forms of nature-based travel in which visitors' primary interests are in observing and appreciating the environment as well as the local cultures that are still practiced in natural settings.

Here are a few instances of ecotourism:

Visit places where there is nature (think of the flora, animals, and resources)discovering the heritage of the local culture.Ecologically sound wilderness excursions.volunteering or watching nature.trips devoted to environmental preservation efforts, like beach clean-ups.

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If the wave pictured above oscillates up and down 25 time in 10
seconds, what is the frequency?

Answers

Answer:

Frequency = 25 / 10 = 2.5 Hz

Explanation:

If the wave oscillates up and down 25 times in 10 seconds, then the frequency can be calculated as follows:

Frequency = Number of oscillations / Time

In this case, the number of oscillations is 25, and the time is 10 seconds. Therefore, the frequency is:

Frequency = 25 / 10 = 2.5 Hz

So the frequency of the wave is 2.5 Hertz, which means it completes 2.5 cycles or oscillations in one second.

What is the weight of a body of mass 12kg? ​

Answers

The weight of the body is 120N ( newtons), the acting force is also 120N
Hence, the weight of the body is 120 N and the force acting on the body is also 120 N.

String is wrapped around an object of mass M = .5 kg and the moment of inertia I = .02 kg*m^2. You pull the string with your hand straight up with some constant force F such that the center of the objects does not move up or down, but the object spins faster and faster. This is like a yo-yo; nothing but the vertical string touches the object. When your hand is a height y = .22 m above the floor, the object has an angular speed of w = 15 radians/s. When your hand has risen to a height of y = .73 m above the floor, what is the angular speed of the object? Your answer must be numeric and not contain the symbol F.

Answers

The angular speed of the object when your hand has risen to a height of y = 0.73 m above the floor is approximately 26.83 radians/s.

What is Mass?

Mass is a fundamental property of matter that quantifies the amount of matter in an object. It is a scalar quantity that describes the resistance of an object to acceleration when subjected to an external force. The mass of an object is a measure of the total amount of material or substance that it contains, and it is usually expressed in kilograms (kg) or other appropriate units.

The final potential energy is given by:

PE_final = m * g * y_final

where y_final is the final height of the object above the floor.

Setting the initial mechanical energy equal to the final mechanical energy and rearranging the equation, we get:

g = 9.8 m/[tex]s^{2}[/tex] (acceleration due to gravity)

(1/2) * 0.02 * [tex](15)^{2}[/tex]^2 + 0.5 * 9.8 * 0.22 = (1/2) * 0.02 * [tex]w_final ^{2}[/tex] + 0.5 * 9.8 * 0.73

w_final = sqrt((2 * ((1/2) * 0.02 * (15)^2 + 0.5 * 9.8 * 0.22 - 0.5 * 9.8 * 0.73)) / 0.02)

Plugging in the given values and solving for w_final, we get:

w_final ≈ 26.83 radians/s (rounded to two decimal places)

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math
Determine if the function below is continuous.

graph of a piecewise function, with 2 pieces. The first piece is a line that starts at negative infinity and goes through point (-4,5) and ends with an open dot at (1,0). The second piece is a line that starts with a closed dot at (1,-1), goes through point (2,1) and continues to infinity.

A. not continuous at x = 1
B. not continuous at x = 0
C. not continuous at x = -1
D. continuous

Answers

The function is not continuous at x=1, so the answer is A.

At x=1, the two pieces of the function meet. The first piece ends with an open dot at (1,0), meaning that the function is not defined at $x=1$. The second piece starts with a closed dot at (1,-1), meaning that the function is defined at x=1 and takes the value -1 there.

Since the function is not defined at x=1, it cannot be continuous at that point. Therefore, the function is not continuous overall.

HELPPPPP MEEEEEEE. genes can __________ many traits and can be ____________ through biotechnology

Answers

Genes can shape many traits and can be modified through biotechnology.

What are genetic engineering techniques?

The expression genetic engineering techniques refer to all procedures that use recombinant DNA to create or redesign gene sequences, which invariably may modify or change the expression of a given phenotypic feature in the target organism in which this sequence is being inserted.

Therefore, with this data, we can see that genetic engineering techniques can modify a phenotype to express a desirable trait such as by inserting the insulin gene into bacteria.

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How does the ecotourism industry act as an ecosystem service that benefits tourists, the people that live in the area, and the people that work in the industry?

Answers

The ecotourism industry can act as an ecosystem service that benefits tourists, local communities, the environment, and the tourism industry itself by promoting sustainable and responsible tourism practices

What is ecotourism?

Benefits for tourists: Ecotourism provides a unique experience for tourists by allowing them to explore and appreciate natural environments while supporting sustainable tourism practices. Ecotourism activities also offer educational opportunities for tourists to learn about the local environment and culture.

Benefits for local communities: Ecotourism can provide economic benefits to local communities by creating jobs in the tourism industry and supporting local businesses. It can also encourage the preservation of natural resources and cultural heritage.

Benefits for the environment: Ecotourism can promote the conservation of natural resources and ecosystems by raising awareness and encouraging sustainable tourism practices. It can also support research and monitoring efforts to improve understanding of the environment and its conservation needs.

Benefits for the tourism industry: Ecotourism can create new market opportunities for the tourism industry by offering unique and sustainable travel experiences. It can also improve the industry's reputation and competitiveness by promoting responsible and sustainable tourism practices.

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Which list of components creates a circuit through which an electric current can flow?

A. a battery, insulated wires, a buzzer, and an open switch
B. a generator, two light bulbs, and an open switch
C. a generator, a light bulb, and a closed switch
D. a battery, insulated wires, and a buzzer

Answers

A circuit requires a complete loop through which an electric current can flow. Therefore, The correct answer is Option(D).

A battery provides the source of the electric potential difference, and insulated wires allow the current to flow from the battery to the buzzer. The buzzer completes the loop back to the battery. An open switch, such as in options A and B, would break the circuit and prevent the flow of electric current. A closed switch, such as in option C, would complete the circuit. However, option C does not provide a complete circuit with a source of electric potential difference, and therefore cannot create a sustained flow of electric current.

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Find the Peukert constants n and λ for Peukert’s equation for following two measurements available from a constant current discharge experiment of a battery : (i) (t1, I1) = (10, 25) (ii) (t2, I2) = (4,45)

Answers

The battery Peukert constants, n and, are around 1.223 and 2.486, respectively.

How many Peukerts can fit?

Wilhelm Peukert, a German physicist, proposed Peukert's law in 1897, which quantifies a battery's capacity in terms of the rate of discharge. The battery's useful capacity reduces as the rate of discharge rises. The supplied capacity decreases as discharge rate increases.

C = I⁽⁻ⁿ⁾ * t * λ

log(C) = -n * log(I) + log(λ) + log(t)

log(C1) = -n * log(I1) + log(λ) + log(t1)

log(C1) = -n * log(25) + log(λ) + log(10)

Similarly, for the second measurement, we have:

log(C2) = -n * log(I2) + log(λ) + log(t2)

log(C2) = -n * log(45) + log(λ) + log(4)

log(C1) - log(C2) = -n * (log(25) - log(45)) + log(10/4)

Simplifying, we get:

log(C1/C2) = n * log(45/25) + log(2.5)

Substituting the values, we get:

log(25/45) = n * log(45/25) + log(2.5)

Solving for n, we get:

n = (log(25/45) - log(2.5)) / log(45/25)

n = 1.223

log(C1) = -1.223 * log(25) + log(λ) + log(10)

log(C1) = -1.223 * 1.39794 + log(λ) + 1

Solving for log(λ), we get:

log(λ) = log(C1) + 1.223 * 1.39794 - 1

log(λ) = log(25) + 1.223 * 1.39794 - 1

log(λ) = 0.39794

Therefore, λ = 2.486.

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4. Define the terms; I. Frequency II. Wavelength III. Velocity as applied to a periodic wave motion. State the relationship between them. b) Two turning forks have frequencies of 200Hz and 300Hz. Calculate the difference in the wavelengths of the notes they emit. [Speed of sound in air = 330ms-¹]​

Answers

Answer:

Wavelength : It is defined as the distance travelled by a wave during the time a particle of the medium completes one vibration. It is denoted by k. Its SI unit is metre. Frequency: It is the number of occurrences of a repeating event per unit of time. Its SI unit is Hertz (Hz).

Explanation:

what’s the answer for this

Answers

Answer is zero. Object is momentarily stationary meaning net force equals zero

An atom with four protons and four electrons is in equilibrium. An electron is added. What is the overall charge of the atom?

Answers

The overall charge of the atom after an electron is added is -1.

An ion is an atom or molecule that has an unequal number of protons and electrons, resulting in a net electrical charge. Atoms are normally electrically neutral because the number of protons, which carry a positive charge, is equal to the number of electrons, which carry a negative charge. However, when an atom gains or loses one or more electrons, it becomes an ion with a net electrical charge.

When an atom loses one or more electrons, it becomes a positively charged ion, or cation, since the number of positively charged protons is greater than the number of negatively charged electrons. On the other hand, when an atom gains one or more electrons, it becomes a negatively charged ion, or anion, since the number of negatively charged electrons is greater than the number of positively charged protons.

An atom with four protons and four electrons is electrically neutral since the number of positively charged protons equals the number of negatively charged electrons. When an electron is added to the atom, the number of electrons becomes five, while the number of protons remains at four. This results in a net negative charge on the atom, since the extra electron carries a negative charge.

Therefore, the overall charge of the atom after an electron is added is -1.

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* Find out the force between the wires 150 cm long and I'm apart) used to connect the battery of a car to the motor? [Note: The Current in the wires in 200 ampere)

Answers

Answer:

The force between the wires used to connect the battery of a car to the motor can be calculated using the equation F = I*L, where F is the force, I is the current, and L is the length of the wires. In this case, the force would be calculated as F = 200A * 0.15m = 30N.

a) A 0.250-kg toy car is propelled by a compressed spring. The car follows a track that rises above the starting point. The spring is compressed 6.00 cm and has a force constant of 450.0 N/m. Find the speed of the car when it reaches 0.110 m above the starting point.

b) Estimate the power expended by a child raising a 0.25-kg toy 0.75 m in 2.0 s. Convert your answer to horsepower (1 ℎp = 746w)

Answers

Answer:

a) To solve for the speed of the car, we can use the conservation of energy equation:

(1/2)mv^2 = mgh - (1/2)kx^2

where m is the mass of the car, v is the speed of the car, g is the acceleration due to gravity, h is the height of the car above the starting point, k is the spring constant, and x is the distance the spring is compressed.

Plugging in the given values, we get:

(1/2)(0.250 kg)v^2 = (0.250 kg)(9.81 m/s^2)(0.110 m) - (1/2)(450.0 N/m)(0.0600 m)^2

Solving for v, we get:

v = 1.23 m/s

Therefore, the speed of the car when it reaches 0.110 m above the starting point is 1.23 m/s.

b) To estimate the power expended by a child raising a 0.25-kg toy 0.75 m in 2.0 s, we can use the work-energy theorem:

W = ΔE = mgh

where W is the work done, m is the mass of the toy, g is the acceleration due to gravity, h is the height the toy is raised, and ΔE is the change in energy.

Plugging in the given values, we get:

W = (0.25 kg)(9.81 m/s^2)(0.75 m) = 1.84 J

Next, we can use the definition of power:

P = W/t

where P is power, W is work, and t is time.

Plugging in the given values, we get:

P = 1.84 J / 2.0 s = 0.92 W

Finally, we can convert watts to horsepower:

1 hp = 746 W

0.92 W = 0.92 / 746 hp = 0.0012 hp

Therefore, the power expended by a child raising a 0.25-kg toy 0.75 m in 2.0 s is approximately 0.0012 hp.

The surfaces of a lipid bi-layer forming the membrane around a cell with a radius of 1.5 μm has a residual charge qr = 9.1×10-15 C on outside of the bi-layer, and the same amount of negative charge on the inside. What is the force in pN (×10-12 N) on a singly-charged positive ion (q =1.6 ×10-19 C) located on the outer surface of this membrane? Hint: Use F = q E = q (σ/e) with σ = qr/A = qr/ (4π r2) and εo = 8.85 x 10-12 F·m-1.

Answers

I mean if it will be anything the asnwer would be 23^90'200

A 60.6 kg weight-watcher wishes to climb a mountain to work off the equivalent of a large piece of chocolate cake rated at 720 (food) Calories. How high must the person climb? The acceleration due to gravity is 9.8 m/s 2 and 1 food Calorie is 103 calories. Answer in units of km.

Answers

The height the weight-watcher needs to climb to work off the equivalent of the chocolate cake is 0.5225 km.

What is the height of the person?

The height the weight-watcher needs to climb to work off the equivalent of the chocolate cake is calculated as follows;

P.E = mgh

Where;

m is the mass of the objectg is the acceleration due to gravityh is the height.

720 Calories x 103 calories/1 food Calorie = 74,160 calories

74,160 calories = 310285.44 J

h = P.E/mg

h = (310285.44) / (60.6 x 9.8)

h = 522.5 m

h = 0.5225 km

Learn more about height here: https://brainly.com/question/1739912

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