Whether the statement is true or false.

Question

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Answer 1

Question

Chapter 6, Problem 1P

(a)

To determine

Whether the statement is true or false.

(a)

Expert Solution

Explanation of Solution

Introduction:

The work energy theorem states that the net or total work done on a particle is equal to the change in its kinetic energy.

According to the work energy theorem, the net or total work done on a particle is equal to the change in its kinetic energy.

Write the expression for the work-energy theorem.

W = 12(mvf2−mvi2)

Here, W is the work done on particle, m is the mass of the particle, vf and vi are the final and initial velocities of the particle respectively.

Conclusion:

Thus, for non-zero work done, the initial and final speeds mustdiffer i.e. there must be a change in speed of the particle. Hence, the given statement is true.

(b)

To determine

Whether the statement is true or false.

(b)

Expert Solution

Explanation of Solution

According to the work energy theorem, the net or total work done on a particle is equal to the change in its kinetic energy.

Write the expression for the work-energy theorem.

W = 12(mvf2−mvi2)

Here, W is the work done on particle, m is the mass of the particle, vf and vi are the final and initial velocities of the particle respectively.

Introduction:The work energy theorem states that the net or total work done on a particle is equal to the change in its kinetic energy.

Conclusion:Thus, for non-zero work done, the initial and final velocities must differ i.e. there must be a change in velocity of the particle. Hence, the given statement is true.

(c)

To determine

Whether the statement is true or false.

(c)

Expert Solution

Explanation of Solution

Introduction:

The work energy theorem states that the net or total work done on a particle is equal to the change in its kinetic energy.

According to the work energy theorem, the net or total work done on a particle is equal to the change in its kinetic energy.

Write the expression for the work-energy theorem.

W = 12(mvf2−mvi2)

Here, W is the work done on particle, m is the mass of the particle, vf and vi are the final and initial velocities of the particle respectively.

For a particle moving in straight line, i.e. its direction of motion is not changing, if its speed changes with time then, the net work done on it will be non-zero while if its speed is constant then, the net work done on it will be zero.

Conclusion:

Thus, for a particle moving in straight line, i.e. its direction of motion is not changing, and its speed changing with time then, the net work done on it will be non-zero. Hence, the given statement is true.

(d)

To determine

Whether the statement is true or false.

(d)

Expert Solution

Explanation of Solution

Introduction:

The work energy theorem states that the net or total work done on a particle is equal to the change in its kinetic energy.

According to the work energy theorem, the net or total work done on a particle is equal to the change in its kinetic energy.

Write the expression for the work-energy theorem.

W = 12(mvf2−mvi2)

Here, W is the work done on particle, m is the mass of the particle, vf and vi are the final and initial velocities of the particle respectively.

For a particle at rest, the speed is zero throughout and thus, work done on it will be zero.

Conclusion:

Thus, for a particle at constant rest, the initial and final velocities of the particle are same and thus work done is zero.

(e)

To determine

Whether the statement is true or false.

(e)

Expert Solution

Explanation of Solution

Introduction:

The work done on a particle is given by the dot product of force acting on it and its displacement.

For a particle experiencing a force in a particular direction and having a displacement, the work done on it is given by the dot product of force acting on it and its displacement.

If the angle between force and displacement is 90∘ i.e. the force is acting perpendicular to the motion of the particle, the work done on it is always zero.

Conclusion:

Thus, if a force is always perpendicular to the velocity of particle, the angle betweenforce and displacement is 90∘ and no work is done on the particle. Hence, the given statement is true.

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Students have asked these similar questions

Four capacitors are connected as shown in the figure below. (Let C = 12.0 μF.) a C 3.00 με Hh. 6.00 με 20.0 με HE (a) Find the equivalent capacitance between points a and b. 5.92 HF (b) Calculate the charge on each capacitor, taking AV ab = 16.0 V. 20.0 uF capacitor 94.7 6.00 uF capacitor 67.6 32.14 3.00 µF capacitor capacitor C ☑ με με The 3 µF and 12.0 uF capacitors are in series and that combination is in parallel with the 6 μF capacitor. What quantity is the same for capacitors in parallel? μC 32.14 ☑ You are correct that the charge on this capacitor will be the same as the charge on the 3 μF capacitor. μC

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Answer 2

Question

Chapter 6, Problem 1P

(a)

To determine

Whether the statement is true or false.

(a)

Expert Solution

Explanation of Solution

Introduction:

The work energy theorem states that the net or total work done on a particle is equal to the change in its kinetic energy.

According to the work energy theorem, the net or total work done on a particle is equal to the change in its kinetic energy.

Write the expression for the work-energy theorem.

W = 12(mvf2−mvi2)

Here, W is the work done on particle, m is the mass of the particle, vf and vi are the final and initial velocities of the particle respectively.

Conclusion:

Thus, for non-zero work done, the initial and final speeds mustdiffer i.e. there must be a change in speed of the particle. Hence, the given statement is true.

(b)

To determine

Whether the statement is true or false.

(b)

Expert Solution

Explanation of Solution

According to the work energy theorem, the net or total work done on a particle is equal to the change in its kinetic energy.

Write the expression for the work-energy theorem.

W = 12(mvf2−mvi2)

Here, W is the work done on particle, m is the mass of the particle, vf and vi are the final and initial velocities of the particle respectively.

Introduction:The work energy theorem states that the net or total work done on a particle is equal to the change in its kinetic energy.

Conclusion:Thus, for non-zero work done, the initial and final velocities must differ i.e. there must be a change in velocity of the particle. Hence, the given statement is true.

(c)

To determine

Whether the statement is true or false.

(c)

Expert Solution

Explanation of Solution

Introduction:

The work energy theorem states that the net or total work done on a particle is equal to the change in its kinetic energy.

According to the work energy theorem, the net or total work done on a particle is equal to the change in its kinetic energy.

Write the expression for the work-energy theorem.

W = 12(mvf2−mvi2)

Here, W is the work done on particle, m is the mass of the particle, vf and vi are the final and initial velocities of the particle respectively.

For a particle moving in straight line, i.e. its direction of motion is not changing, if its speed changes with time then, the net work done on it will be non-zero while if its speed is constant then, the net work done on it will be zero.

Conclusion:

Thus, for a particle moving in straight line, i.e. its direction of motion is not changing, and its speed changing with time then, the net work done on it will be non-zero. Hence, the given statement is true.

(d)

To determine

Whether the statement is true or false.

(d)

Expert Solution

Explanation of Solution

Introduction:

The work energy theorem states that the net or total work done on a particle is equal to the change in its kinetic energy.

According to the work energy theorem, the net or total work done on a particle is equal to the change in its kinetic energy.

Write the expression for the work-energy theorem.

W = 12(mvf2−mvi2)

Here, W is the work done on particle, m is the mass of the particle, vf and vi are the final and initial velocities of the particle respectively.

For a particle at rest, the speed is zero throughout and thus, work done on it will be zero.

Conclusion:

Thus, for a particle at constant rest, the initial and final velocities of the particle are same and thus work done is zero.

(e)

To determine

Whether the statement is true or false.

(e)

Expert Solution

Explanation of Solution

Introduction:

The work done on a particle is given by the dot product of force acting on it and its displacement.

For a particle experiencing a force in a particular direction and having a displacement, the work done on it is given by the dot product of force acting on it and its displacement.

If the angle between force and displacement is 90∘ i.e. the force is acting perpendicular to the motion of the particle, the work done on it is always zero.

Conclusion:

Thus, if a force is always perpendicular to the velocity of particle, the angle betweenforce and displacement is 90∘ and no work is done on the particle. Hence, the given statement is true.

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Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 3

Question

Chapter 6, Problem 1P

(a)

To determine

Whether the statement is true or false.

(a)

Expert Solution

Explanation of Solution

Introduction:

The work energy theorem states that the net or total work done on a particle is equal to the change in its kinetic energy.

According to the work energy theorem, the net or total work done on a particle is equal to the change in its kinetic energy.

Write the expression for the work-energy theorem.

W = 12(mvf2−mvi2)

Here, W is the work done on particle, m is the mass of the particle, vf and vi are the final and initial velocities of the particle respectively.

Conclusion:

Thus, for non-zero work done, the initial and final speeds mustdiffer i.e. there must be a change in speed of the particle. Hence, the given statement is true.

(b)

To determine

Whether the statement is true or false.

(b)

Expert Solution

Explanation of Solution

According to the work energy theorem, the net or total work done on a particle is equal to the change in its kinetic energy.

Write the expression for the work-energy theorem.

W = 12(mvf2−mvi2)

Here, W is the work done on particle, m is the mass of the particle, vf and vi are the final and initial velocities of the particle respectively.

Introduction:The work energy theorem states that the net or total work done on a particle is equal to the change in its kinetic energy.

Conclusion:Thus, for non-zero work done, the initial and final velocities must differ i.e. there must be a change in velocity of the particle. Hence, the given statement is true.

(c)

To determine

Whether the statement is true or false.

(c)

Expert Solution

Explanation of Solution

Introduction:

The work energy theorem states that the net or total work done on a particle is equal to the change in its kinetic energy.

According to the work energy theorem, the net or total work done on a particle is equal to the change in its kinetic energy.

Write the expression for the work-energy theorem.

W = 12(mvf2−mvi2)

Here, W is the work done on particle, m is the mass of the particle, vf and vi are the final and initial velocities of the particle respectively.

For a particle moving in straight line, i.e. its direction of motion is not changing, if its speed changes with time then, the net work done on it will be non-zero while if its speed is constant then, the net work done on it will be zero.

Conclusion:

Thus, for a particle moving in straight line, i.e. its direction of motion is not changing, and its speed changing with time then, the net work done on it will be non-zero. Hence, the given statement is true.

(d)

To determine

Whether the statement is true or false.

(d)

Expert Solution

Explanation of Solution

Introduction:

The work energy theorem states that the net or total work done on a particle is equal to the change in its kinetic energy.

According to the work energy theorem, the net or total work done on a particle is equal to the change in its kinetic energy.

Write the expression for the work-energy theorem.

W = 12(mvf2−mvi2)

Here, W is the work done on particle, m is the mass of the particle, vf and vi are the final and initial velocities of the particle respectively.

For a particle at rest, the speed is zero throughout and thus, work done on it will be zero.

Conclusion:

Thus, for a particle at constant rest, the initial and final velocities of the particle are same and thus work done is zero.

(e)

To determine

Whether the statement is true or false.

(e)

Expert Solution

Explanation of Solution

Introduction:

The work done on a particle is given by the dot product of force acting on it and its displacement.

For a particle experiencing a force in a particular direction and having a displacement, the work done on it is given by the dot product of force acting on it and its displacement.

If the angle between force and displacement is 90∘ i.e. the force is acting perpendicular to the motion of the particle, the work done on it is always zero.

Conclusion:

Thus, if a force is always perpendicular to the velocity of particle, the angle betweenforce and displacement is 90∘ and no work is done on the particle. Hence, the given statement is true.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 4

Question

Chapter 6, Problem 1P

(a)

To determine

Whether the statement is true or false.

(a)

Expert Solution

Explanation of Solution

Introduction:

The work energy theorem states that the net or total work done on a particle is equal to the change in its kinetic energy.

According to the work energy theorem, the net or total work done on a particle is equal to the change in its kinetic energy.

Write the expression for the work-energy theorem.

W = 12(mvf2−mvi2)

Here, W is the work done on particle, m is the mass of the particle, vf and vi are the final and initial velocities of the particle respectively.

Conclusion:

Thus, for non-zero work done, the initial and final speeds mustdiffer i.e. there must be a change in speed of the particle. Hence, the given statement is true.

(b)

To determine

Whether the statement is true or false.

(b)

Expert Solution

Explanation of Solution

According to the work energy theorem, the net or total work done on a particle is equal to the change in its kinetic energy.

Write the expression for the work-energy theorem.

W = 12(mvf2−mvi2)

Here, W is the work done on particle, m is the mass of the particle, vf and vi are the final and initial velocities of the particle respectively.

Introduction:The work energy theorem states that the net or total work done on a particle is equal to the change in its kinetic energy.

Conclusion:Thus, for non-zero work done, the initial and final velocities must differ i.e. there must be a change in velocity of the particle. Hence, the given statement is true.

(c)

To determine

Whether the statement is true or false.

(c)

Expert Solution

Explanation of Solution

Introduction:

The work energy theorem states that the net or total work done on a particle is equal to the change in its kinetic energy.

According to the work energy theorem, the net or total work done on a particle is equal to the change in its kinetic energy.

Write the expression for the work-energy theorem.

W = 12(mvf2−mvi2)

Here, W is the work done on particle, m is the mass of the particle, vf and vi are the final and initial velocities of the particle respectively.

For a particle moving in straight line, i.e. its direction of motion is not changing, if its speed changes with time then, the net work done on it will be non-zero while if its speed is constant then, the net work done on it will be zero.

Conclusion:

Thus, for a particle moving in straight line, i.e. its direction of motion is not changing, and its speed changing with time then, the net work done on it will be non-zero. Hence, the given statement is true.

(d)

To determine

Whether the statement is true or false.

(d)

Expert Solution

Explanation of Solution

Introduction:

The work energy theorem states that the net or total work done on a particle is equal to the change in its kinetic energy.

According to the work energy theorem, the net or total work done on a particle is equal to the change in its kinetic energy.

Write the expression for the work-energy theorem.

W = 12(mvf2−mvi2)

Here, W is the work done on particle, m is the mass of the particle, vf and vi are the final and initial velocities of the particle respectively.

For a particle at rest, the speed is zero throughout and thus, work done on it will be zero.

Conclusion:

Thus, for a particle at constant rest, the initial and final velocities of the particle are same and thus work done is zero.

(e)

To determine

Whether the statement is true or false.

(e)

Expert Solution

Explanation of Solution

Introduction:

The work done on a particle is given by the dot product of force acting on it and its displacement.

For a particle experiencing a force in a particular direction and having a displacement, the work done on it is given by the dot product of force acting on it and its displacement.

If the angle between force and displacement is 90∘ i.e. the force is acting perpendicular to the motion of the particle, the work done on it is always zero.

Conclusion:

Thus, if a force is always perpendicular to the velocity of particle, the angle betweenforce and displacement is 90∘ and no work is done on the particle. Hence, the given statement is true.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 5

Chapter 6, Problem 1P

(a)

To determine

Whether the statement is true or false.

(a)

Expert Solution

Explanation of Solution

Introduction:

The work energy theorem states that the net or total work done on a particle is equal to the change in its kinetic energy.

According to the work energy theorem, the net or total work done on a particle is equal to the change in its kinetic energy.

Write the expression for the work-energy theorem.

W = 12(mvf2−mvi2)

Here, W is the work done on particle, m is the mass of the particle, vf and vi are the final and initial velocities of the particle respectively.

Conclusion:

Thus, for non-zero work done, the initial and final speeds mustdiffer i.e. there must be a change in speed of the particle. Hence, the given statement is true.

(b)

To determine

Whether the statement is true or false.

(b)

Expert Solution

Explanation of Solution

According to the work energy theorem, the net or total work done on a particle is equal to the change in its kinetic energy.

Write the expression for the work-energy theorem.

W = 12(mvf2−mvi2)

Here, W is the work done on particle, m is the mass of the particle, vf and vi are the final and initial velocities of the particle respectively.

Introduction:The work energy theorem states that the net or total work done on a particle is equal to the change in its kinetic energy.

Conclusion:Thus, for non-zero work done, the initial and final velocities must differ i.e. there must be a change in velocity of the particle. Hence, the given statement is true.

(c)

To determine

Whether the statement is true or false.

(c)

Expert Solution

Explanation of Solution

Introduction:

The work energy theorem states that the net or total work done on a particle is equal to the change in its kinetic energy.

According to the work energy theorem, the net or total work done on a particle is equal to the change in its kinetic energy.

Write the expression for the work-energy theorem.

W = 12(mvf2−mvi2)

Here, W is the work done on particle, m is the mass of the particle, vf and vi are the final and initial velocities of the particle respectively.

For a particle moving in straight line, i.e. its direction of motion is not changing, if its speed changes with time then, the net work done on it will be non-zero while if its speed is constant then, the net work done on it will be zero.

Conclusion:

Thus, for a particle moving in straight line, i.e. its direction of motion is not changing, and its speed changing with time then, the net work done on it will be non-zero. Hence, the given statement is true.

(d)

To determine

Whether the statement is true or false.

(d)

Expert Solution

Explanation of Solution

Introduction:

The work energy theorem states that the net or total work done on a particle is equal to the change in its kinetic energy.

According to the work energy theorem, the net or total work done on a particle is equal to the change in its kinetic energy.

Write the expression for the work-energy theorem.

W = 12(mvf2−mvi2)

Here, W is the work done on particle, m is the mass of the particle, vf and vi are the final and initial velocities of the particle respectively.

For a particle at rest, the speed is zero throughout and thus, work done on it will be zero.

Conclusion:

Thus, for a particle at constant rest, the initial and final velocities of the particle are same and thus work done is zero.

(e)

To determine

Whether the statement is true or false.

(e)

Expert Solution

Explanation of Solution

Introduction:

The work done on a particle is given by the dot product of force acting on it and its displacement.

For a particle experiencing a force in a particular direction and having a displacement, the work done on it is given by the dot product of force acting on it and its displacement.

If the angle between force and displacement is 90∘ i.e. the force is acting perpendicular to the motion of the particle, the work done on it is always zero.

Conclusion:

Thus, if a force is always perpendicular to the velocity of particle, the angle betweenforce and displacement is 90∘ and no work is done on the particle. Hence, the given statement is true.

Answer 6

Chapter 6, Problem 1P

(a)

To determine

Whether the statement is true or false.

(a)

Expert Solution

Explanation of Solution

Introduction:

The work energy theorem states that the net or total work done on a particle is equal to the change in its kinetic energy.

According to the work energy theorem, the net or total work done on a particle is equal to the change in its kinetic energy.

Write the expression for the work-energy theorem.

W = 12(mvf2−mvi2)

Here, W is the work done on particle, m is the mass of the particle, vf and vi are the final and initial velocities of the particle respectively.

Conclusion:

Thus, for non-zero work done, the initial and final speeds mustdiffer i.e. there must be a change in speed of the particle. Hence, the given statement is true.

Answer 7

Chapter 6, Problem 1P

(a)

To determine

Whether the statement is true or false.

Answer 8

(a)

Expert Solution

Explanation of Solution

Introduction:

The work energy theorem states that the net or total work done on a particle is equal to the change in its kinetic energy.

According to the work energy theorem, the net or total work done on a particle is equal to the change in its kinetic energy.

Write the expression for the work-energy theorem.

W = 12(mvf2−mvi2)

Here, W is the work done on particle, m is the mass of the particle, vf and vi are the final and initial velocities of the particle respectively.

Conclusion:

Thus, for non-zero work done, the initial and final speeds mustdiffer i.e. there must be a change in speed of the particle. Hence, the given statement is true.

Answer 9

(a)

Expert Solution

Answer 10

(a)

Expert Solution

Answer 11

Expert Solution

Answer 12

(b)

To determine

Whether the statement is true or false.

(b)

Expert Solution

Explanation of Solution

According to the work energy theorem, the net or total work done on a particle is equal to the change in its kinetic energy.

Write the expression for the work-energy theorem.

W = 12(mvf2−mvi2)

Here, W is the work done on particle, m is the mass of the particle, vf and vi are the final and initial velocities of the particle respectively.

Introduction:The work energy theorem states that the net or total work done on a particle is equal to the change in its kinetic energy.

Conclusion:Thus, for non-zero work done, the initial and final velocities must differ i.e. there must be a change in velocity of the particle. Hence, the given statement is true.

Answer 13

(b)

To determine

Whether the statement is true or false.

Answer 14

(b)

Expert Solution

Explanation of Solution

According to the work energy theorem, the net or total work done on a particle is equal to the change in its kinetic energy.

Write the expression for the work-energy theorem.

W = 12(mvf2−mvi2)

Here, W is the work done on particle, m is the mass of the particle, vf and vi are the final and initial velocities of the particle respectively.

Introduction:The work energy theorem states that the net or total work done on a particle is equal to the change in its kinetic energy.

Conclusion:Thus, for non-zero work done, the initial and final velocities must differ i.e. there must be a change in velocity of the particle. Hence, the given statement is true.

Answer 15

(b)

Expert Solution

Answer 16

(b)

Expert Solution

Answer 17

Expert Solution

Answer 18

(c)

To determine

Whether the statement is true or false.

(c)

Expert Solution

Explanation of Solution

Introduction:

The work energy theorem states that the net or total work done on a particle is equal to the change in its kinetic energy.

According to the work energy theorem, the net or total work done on a particle is equal to the change in its kinetic energy.

Write the expression for the work-energy theorem.

W = 12(mvf2−mvi2)

Here, W is the work done on particle, m is the mass of the particle, vf and vi are the final and initial velocities of the particle respectively.

For a particle moving in straight line, i.e. its direction of motion is not changing, if its speed changes with time then, the net work done on it will be non-zero while if its speed is constant then, the net work done on it will be zero.

Conclusion:

Thus, for a particle moving in straight line, i.e. its direction of motion is not changing, and its speed changing with time then, the net work done on it will be non-zero. Hence, the given statement is true.

Answer 19

(c)

To determine

Whether the statement is true or false.

Answer 20

(c)

Expert Solution

Explanation of Solution

Introduction:

The work energy theorem states that the net or total work done on a particle is equal to the change in its kinetic energy.

According to the work energy theorem, the net or total work done on a particle is equal to the change in its kinetic energy.

Write the expression for the work-energy theorem.

W = 12(mvf2−mvi2)

Here, W is the work done on particle, m is the mass of the particle, vf and vi are the final and initial velocities of the particle respectively.

For a particle moving in straight line, i.e. its direction of motion is not changing, if its speed changes with time then, the net work done on it will be non-zero while if its speed is constant then, the net work done on it will be zero.

Conclusion:

Thus, for a particle moving in straight line, i.e. its direction of motion is not changing, and its speed changing with time then, the net work done on it will be non-zero. Hence, the given statement is true.

Answer 21

(c)

Expert Solution

Answer 22

(c)

Expert Solution

Answer 23

Expert Solution

Answer 24

(d)

To determine

Whether the statement is true or false.

(d)

Expert Solution

Explanation of Solution

Introduction:

The work energy theorem states that the net or total work done on a particle is equal to the change in its kinetic energy.

According to the work energy theorem, the net or total work done on a particle is equal to the change in its kinetic energy.

Write the expression for the work-energy theorem.

W = 12(mvf2−mvi2)

Here, W is the work done on particle, m is the mass of the particle, vf and vi are the final and initial velocities of the particle respectively.

For a particle at rest, the speed is zero throughout and thus, work done on it will be zero.

Conclusion:

Thus, for a particle at constant rest, the initial and final velocities of the particle are same and thus work done is zero.

Answer 25

(d)

To determine

Whether the statement is true or false.

Answer 26

(d)

Expert Solution

Explanation of Solution

Introduction:

The work energy theorem states that the net or total work done on a particle is equal to the change in its kinetic energy.

According to the work energy theorem, the net or total work done on a particle is equal to the change in its kinetic energy.

Write the expression for the work-energy theorem.

W = 12(mvf2−mvi2)

Here, W is the work done on particle, m is the mass of the particle, vf and vi are the final and initial velocities of the particle respectively.

For a particle at rest, the speed is zero throughout and thus, work done on it will be zero.

Conclusion:

Thus, for a particle at constant rest, the initial and final velocities of the particle are same and thus work done is zero.

Answer 27

(d)

Expert Solution

Answer 28

(d)

Expert Solution

Answer 29

Expert Solution

Answer 30

(e)

To determine

Whether the statement is true or false.

(e)

Expert Solution

Explanation of Solution

Introduction:

The work done on a particle is given by the dot product of force acting on it and its displacement.

For a particle experiencing a force in a particular direction and having a displacement, the work done on it is given by the dot product of force acting on it and its displacement.

If the angle between force and displacement is 90∘ i.e. the force is acting perpendicular to the motion of the particle, the work done on it is always zero.

Conclusion:

Thus, if a force is always perpendicular to the velocity of particle, the angle betweenforce and displacement is 90∘ and no work is done on the particle. Hence, the given statement is true.

Answer 31

(e)

To determine

Whether the statement is true or false.

Answer 32

(e)

Expert Solution

Explanation of Solution

Introduction:

The work done on a particle is given by the dot product of force acting on it and its displacement.

For a particle experiencing a force in a particular direction and having a displacement, the work done on it is given by the dot product of force acting on it and its displacement.

If the angle between force and displacement is 90∘ i.e. the force is acting perpendicular to the motion of the particle, the work done on it is always zero.

Conclusion:

Thus, if a force is always perpendicular to the velocity of particle, the angle betweenforce and displacement is 90∘ and no work is done on the particle. Hence, the given statement is true.