Conceptual Physics Chapter 8: Energy

 

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PART I Problems (80)

Solve these problems on your own paper. Solve each problem on its own page, do not put more than one problem on a page! You must use the Three-Column-Method to receive any credit for your work.

 

                  1.   Consider 100 kg of bricks.

a) How much do these bricks weigh?

b) How much work is done to lift these bricks 5 m?

c) How much gravitational potential energy do the bricks have after being lifted?

 

                  2.   A 60 kg student runs at 2.0 m/s.

a) How much kinetic energy does the student have?

b) Answer this question in a complete sentence and explain how you know: If the student now runs 6 m/s by how much does his kinetic energy increase?

c) How much work does the student do in order to increase his velocity?

d) If the student takes 5 seconds to change his speed how much power did he exert?

e) The student’s acceleration was 0.8 m/s2. How many meters did he run by the time he reached a velocity of 6 m/s?

 

PART II: Short Answer (60)

Answer the questions below on your own paper. Put each question on its own page, do not put more than one question on a page. Answer each question in ‘a’, ‘b’, ‘c’ bullet format.

 

                  3.   Consider gravitational potential energy:

a) If a rubber ball that has 300 J of gravitational potential energy is dropped by what law of the universe do we know it will have 300 J of kinetic energy just before it hits the floor?

b) State the law cited in part ‘a’.

c) By the Law referred to in part ‘a’ the ball should bounce to its original height but it never does. According to the Law the energy cannot disappear. What happened to the energy of the ball such that it could not bounce to its original height?

 

                  4.   Consider kinetic energy:

a) How can you tell whether an object has kinetic energy or not?

b) An object has 300 J of kinetic energy; if it maintains its velocity but loses two thirds of its mass what will its kinetic energy be?

c) An object has 300 J of kinetic energy, if its mass remains constant but is velocity increases by a factor of 3 what will its kinetic energy be?

 

PART III True/False (30)

Indicate whether the statement is true or false. Mark your answer document ‘A’ for true and ‘B’ for false.

PART IV Rewrite (60)

On your own paper rewrite the false statements so that they will be true. Be sure to address all of the areas of the false statement that are false. You will receive ten (10, 5+5, X) points for each correctly rewritten statement. Do NOT copy the false statements nor is it necessary to rewrite the true statements.

 

                  5.   In physics the amount of work done on an object is the product of the force applied to the object and the time during which that force is applied.

 

                  6.   Whenever gravitational potential energy, mgh, is converted into kinetic energy, , only half of the total energy is actually converted.

 

                  7.   Power is the rate at which work is done.

 

                  8.   Because it takes longer to walk up a flight of stairs  than it does to run up the same stairs, more power is exerted when you walk up the stairs.

 

                  9.   The energy an object has because it is moving is called kinetic energy.

 

                  10. The SI unit for work is the Watt; the SI unit for power is the Joule; the SI unit for energy is the N/m.

 

                  11. When an object is carried, rather than pushed, across a room no work is done on the object because the force is perpendicular to the direction of motion.

 

                  12. Whenever work is done a force must be applied and there must be motion in the direction of the force.

 

                  13. If car ‘A’ skids 90 m and car ‘B’, of the same mass, skids only 10 m car ‘b was going nine times slower than car ‘A’

 

                  14. According to the law of conservation of energy, energy can be created but it can never be destroyed.

 

PART V: Multiple Choice (33)

Identify the choice that best completes the statement or answers the question.Carefully place your answer choice on your answer document.

 

                  15. Which of these is the SI unit for work?

a.

Watt

c.

Newton per meter

b.

Joule

d.

Joule per second

 

 

                  16. The kinetic energy of an object is a function of the object’s

a.

force and mass.

c.

mass and velocity.

b.

weight and velocity.

d.

force and power.

 

 

                  17. The potential energy of an object is a function of an object’s

a.

mass and velocity.

c.

weight and acceleration

b.

velocity and height.

d.

weight and height.

 

 

                  18. A job is done slowly, while an identical job is done quickly. Both jobs require the same amount of work.but different amounts of

a.

power.

c.

kinetic energy.

b.

force.

d.

potential energy.

 

 

                  19. A ball is thrown into the air with an initial 100 J of kinetic energy. At the top of its path it has

a.

50 J of kinetic energy and 50 J of gravitational potential energy.

c.

0 joules of gravitational potential energy and 0 Joules of kinetic energy.

b.

0 Joules of gravitational potential energy and 100 Joules of kinetic energy.

d.

0 Joules of kinetic energy and 100 J of gravitational potential energy.

 

 

                  20. A one kilogram object moving at one meter per second has a kinetic energy of

a.

0.5 J

c.

5 J

b.

1.0 J

d.

10 J

 

 

                  21. The SI unit for power is

a.

the Joule-second

c.

the Newton -meter

b.

a Watt

d.

a Joule

 

 

                  22. Power is

a.

the ability to do work.

c.

impulse times time.

b.

the rate at which work is done.

d.

energy in motion.

 

 

                  23. An Earth satellite in elliptical orbit is going

a.

fastest when it is nearest Earth.

c.

slowest when it is nearest Earth.

b.

fastest when it is farthest from Earth.

d.

the same speed all the time.

 

 

                  24. All of the energy of a car comes from

a.

the kinetic energy of the car’s motion.

c.

the energy stored in the gasoline.

b.

the energy stored in the car’s battery.

d.

the energy stored in the car’s engine.

 

 

                  25. A ball never bounces to its original height because

a.

some of its kinetic energy simply goes away.

c.

energy is created when the ball bounces.

b.

some of its potential energy is not fully converted into other kinds of energy.

d.

some of the kinetic energy is converted into sound and heat.


Conceptual Physics Chapter 8: Energy

Answer Section

 

PROBLEM

 

           1.     ANS:     

m = 50 kg                    W =  mg                                  W = 50 kg x 9.8 m/s2

W = ? N                       W = Fd                                                W = 490 N

d = 5 m                        GPE = W                                 W = 490 N x 5 m

GPE = ? J                                                                    W = 2450 J

                                                                                    GPE = 2450 J

 

           2.     ANS:     

m = 60 kg                                                

v = 2 m/s                                                                     

KE = ? J                                                                      KE = 120 J

At 3 times the velocity the KE will increase by 33 or 9 times. This is because the velocity is squared. 120 J x 9 equals 1080 J. When the student runs at 6 m/s he has 1080 J of KE.

W = ? J                                                                

t = 5 s                                       

P = ? W                                                            

                                                                                    W = 920 J

N.B. There is a much easier way to calculate the change in the kinetic energy! If you can figure it out you will receive a 3% bonus added to your test grade above the corrections bonus.

                                                                                   

                                                                                    P = 192 W

a = 0.8 m/s2                                                  

 = 920 J               Fd =                                

                                        `                       d = 19.17 m

                                   

 

SHORT ANSWER

 

           3.     ANS:     

Considering gravitational potential energy:

a) A rubber ball that has 300 J of GPE will have 300 J of KE just before it hits the floor because the law of conservation of energy says that all of the GPE of the ball must be converted into KE.

b) The law of conservation of energy states that energy cannot be created nor destroyed.

c) Some of the KE of the ball was converted into energy as sound and energy as heat and energy of mechanical distortion.

 

           4.     ANS:     

Considering kinetic energy:

a) You can tell if an object has kinetic energy if it is moving. Stationary objects do not have kinetic energy..

b) An object has 300 J of kinetic energy; if it maintains its velocity but loses two thirds of its mass its kinetic energy will be two thirds less, or 100 J

c) An object has 300 J of kinetic energy, if its mass remains constant but is velocity increases by a factor of 3 its kinetic energy be 3 squared times larger, or 9 times large, which means it will have 2700 J of KE!

 

TRUE/FALSE

 

           5.     ANS:      F

In physics the amount of work done on an object is the product of the force applied to the object and the distance the object moves as a result of that force.

 

           6.     ANS:      F

Whenever gravitational potential energy, mgh, is converted into kinetic energy, , all, or 100% of the total energy is always converted.

 

           7.     ANS:      T

A bicycle and a parked car have a head-on collision; according to Newton’s Third Law, both the bike and the car receive the same impact force.

 

           8.     ANS:      F

Because it takes longer to walk up a flight of stairs  than it does to run up the same stairs, less power is exerted when you walk up the stairs.

 

           9.     ANS:      T

 

           10.   ANS:      F

The SI unit for work is the Joule; the SI unit for power is the Watt; the SI unit for energy is the Joule.

 

           11.   ANS:      T

 

           12.   ANS:      T

Momentum is defined as the product of an object’s mass and velocity.

 

           13.   ANS:      F

If car ‘A’ skids 90 m and car ‘B’, of the same mass, skids only 10 m car ‘b was going three times slower than car ‘A’

 

           14.   ANS:      F

According to the law of conservation of energy, energy can not be created nor can it be destroyed.

 

MULTIPLE CHOICE

 

           15.   ANS:      B

 

           16.   ANS:      C

 

           17.   ANS:      D

 

           18.   ANS:      A

 

           19.   ANS:      D

 

           20.   ANS:      A

 

           21.   ANS:      B

 

           22.   ANS:      A

 

           23.   ANS:      A

 

           24.   ANS:      C

 

           25.   ANS:      D