Robotics C++ Physics II AP Physics B Electronics Java Astronomy Other Courses Summer Session  

Examples

 

7 Additional Solved Problems

 

Problems

Assistance

1-4                                     

Solutions Outline

6-10

Solutions Outline

11-15

Solutions Outline

16-20

Solutions Outline

21-24

Solutions Outline

26-30

Solutions Outline

 

Problem 1

 

In what ways is the word “work” as used in everyday language the same as that defined in physics?

In what ways is it different?

Give examples of both.

 

Problem 2

 

Can a centripetal force ever do work on an object? Explain.

 

Problem 3

 

Can the normal force on an object ever do work? Explain.

 

Problem 4

A woman swimming upstream is not moving with respect to the shore. Is she doing any work? If she stops swimming and merely

floats, is work done on her?

 

 

Problem 6

Why is it tiring to push hard against a solid wall even though you are doing no work?

 

Problem 7

 

What is the correct unit of work expressed in SI units?

 

A) kg m/s2 

B) kg m2/s

C) kg m2/s2 

D) kg2 m/s2 

 

Problem 8 

Can work be done on a system if there is no motion?

 

A) Yes, if an outside force is provided.

B) Yes, since motion is only relative.

C) No, since a system which is not moving has no energy.

D) No, because of the way work is defined.

 

Problem 9 

If you push twice as hard against a stationary brick wall, the amount of work you do

 

A) doubles.

B) is cut in half.

C) remains constant but non-zero.

D) remains constant at zero.

 

Problem 10 

 

A 50-N object was lifted 2.0 m vertically and is being held there.  How much work is being done in holding the box in this position?

A) more than 100 J

B) 100 J

C) less than 100 J, but more than 0 J

D) 0 J

 

Problem 11 

 If you walk 5.0 m horizontally forward at a constant velocity carrying a 10-N object, the amount of work you do is  

 

A) more than 50 J.

B) equal to 50 J.

C) less than 50 J, but more than 0 J.

D) zero.

 

Problem 12

A container of water is lifted vertically 3.0 m then returned to its original position.  If the total weight is 30 N, how much work was done?

 

A) 45 J

B) 90 J

C) 180 J

D) No work was done.

 

Problem 13

Does the centripetal force acting on an object do work on the object?

 

A) Yes, since a force acts and the object moves, and work is force times distance.

B) Yes, since it takes energy to turn an object.

C) No, because the object has constant speed.

D) No, because the force and the displacement of the object are perpendicular.

 

Problem 14

You throw a ball straight up.  Compare the sign of the work done by gravity while the ball goes up with the sign of the work done by gravity while it goes down.

 

A) Work is + on the way up and + on the way down.

B) Work is + on the way up and - on the way down.

C) Work is - on the way up and + on the way down.

D) Work is - on the way up and - on the way down.

 

Problem 15

The area under the curve, on a Force versus position (F vs. x) graph, represents

 

A) work.

B) kinetic energy.

C) power.

D) potential energy.

 

Problem 16

On a plot of Force versus position (F vs. x), what represents the work done by the force F?

 

A) the slope of the curve

B) the length of the curve

C) the area under the curve

D) the product of the maximum force times the maximum x

 

Problem 17

The quantity 1/2 mv2 is

 

A) the kinetic energy of the object.

B) the potential energy of the object.

C) the work done on the object by the force.

D) the power supplied to the object by the force.

 

Problem 18 

If the net work done on an object is positive, then the object's kinetic energy

 

A) decreases.

B) remains the same.

C) increases.

D) is zero.

 

Problem 19 

If the net work done on an object is negative, then the object's kinetic energy

 

A) decreases.

B) remains the same.

C) increases.

D) is zero.

 

Problem 20 

If the net work done on an object is zero, then the object's kinetic energy

 

A) decreases.

B) remains the same.

C) increases.

D) is zero.

 

Problem 21

A truck weighs twice as much as a car, and is moving at twice the speed of the car.  Which statement is true about the truck's kinetic energy compared to that of the car?

 

A) All that can be said is that the truck has more kinetic energy.

B) The truck has twice the kinetic energy of the car.  

C) The truck has 4 times the kinetic energy of the car.

D) The truck has 8 times the kinetic energy of the car.

 

Problem 22

A brick is moving at a speed of 3 m/s and a pebble is moving at a speed of 5 m/s.  If both objects have the same kinetic energy, what is the ratio of the brick's mass to the rock's mass?

 

A) 25 to 9

B) 5 to 3

C) 12.5 to 4.5

D) 3 to 5

 

Problem 23 

A 4.0-kg mass is moving with speed 2.0 m/s.  A 1.0-kg mass is moving with speed 4.0 m/s.  Both objects encounter the same constant braking force, and are brought to rest.  Which object travels the greater distance before stopping?

 

A) the 4.0-kg mass

B) the 1.0-kg mass

C) Both travel the same distance.

D) cannot be determined from the information given

 

Problem 24 

 

You slam on the brakes of your car in a panic, and skid a certain distance on a straight, level road.  If you had been traveling twice as fast, what distance would the car have skidded, under the same conditions?

 

A) It would have skidded 4 times farther.

B) It would have skidded twice as far.

C) It would have skidded 1.4 times farther.

D) It is impossible to tell from the information given.

 

 

Problem 26  

State the work-energy principle.

 

Problem 27 

The quantity mgy is

 

A) the kinetic energy of the object.

B) the gravitational potential energy of the object.

C) the work done on the object by the force.

D) the power supplied to the object by the force.

 

Problem 28  

The quantity 1/2 kx2 is

 

A) the kinetic energy of the object.

B) the elastic potential energy of the object.

C) the work done on the object by the force.

D) the power supplied to the object by the force.

 

Problem 29 

Is it possible for a system to have negative potential energy?

 

A) Yes, as long as the total energy is positive.

B) Yes, since the choice of the zero of potential energy is arbitrary.

C) No, because the kinetic energy of a system must equal its potential energy.

D) No, because this would have no physical meaning.

 

Problem 30

An object is released from rest a height h above the ground.  A second object with four times the mass of the first if released from the same height.  The potential energy of the second object compared to the first is  

 

A) one-fourth as much.

B) one-half as much.

C) twice as much.

D) four times as much.