1) Person X pushes twice as hard against a stationary brick wall as person Y. Which one of the following
statements is correct?
A) Both do positive work, but person X does four times the work of person Y.
B) Both do positive work, but person X does twice the work of person Y.
C) Both do the same amount of positive work.
D) Both do zero work.
E) Both do positive work, but person X does one-half the work of person Y.
2) Two men, Joel and Jerry, push against a car that has stalled, trying unsuccessfully to get it moving. Jerry
stops after 10 min, while Joel is able to push for 5.0 min longer. Compare the work they do on the car.
A) Joel does 75% more work than Jerry.
D) Joel does 25% more work than Jerry.
B) Joel does 50% more work than Jerry.
E) Neither of them does any work.
C) Jerry does 50% more work than Joel.
3) If the force on an object is in the negative direction, the work it does on the object must be
A) negative.
B) positive.
C) The work could be either positive or negative, depending on the direction the object moves.
5) You throw a baseball 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) The work is positive on the way up and positive on the way down.
B) The work is positive on the way up and negative on the way down.
C) The work is negative on the way up and positive on the way down.
D) The work is negative on the way up and on the way down because gravity is always downward.
7) A truck has four times the mass of a car and is moving with twice the speed of the car. If Kt and Kc refer to
the kinetic energies of truck and car respectively, it is correct to say that
A) Kt = 16Kc.
C) Kt = 2Kc.
E) Kt = Kc.
B) Kt = 4Kc.
D) Kt = Kc.
8) Three cars (car F, car G, and car H) are moving with the same speed and slam on their brakes. The most
massive car is car F, and the least massive is car H. If the tires of all three cars have identical coefficients of
kinetic friction with the road surface, which car travels the longest distance to skid to a stop?
A) They all travel the same distance in stopping.
C) Car G
B) Car F
D) Car H
9) Three cars (car L, car M, and car N) are moving with the same speed and slam on their brakes. The most
massive car is car L, and the least massive is car N. If the tires of all three cars have identical coefficients of
kinetic friction with the road surface, for which car is the amount of work done by friction in stopping it the
greatest?
A) The amount of work done by friction is the same for all cars.
B) Car L
C) Car M
D) Car N
11) 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.
D) It would have skidded one half as far.
B) It would have skidded twice as far.
E) It is impossible to tell from the information
C) It would have skidded 1.4 times farther.
given.
12) Which requires more work, increasing a car's speed from 0 mph to 30 mph or from 50 mph to 60 mph?
A) 0 mph to 30 mph
B) 50 mph to 60 mph
C) It is the same in both cases.
13) A stone is held at a height h above the ground. A second stone with four times the mass of the first one is
held at the same height. The gravitational potential energy of the second stone compared to that of the first
stone is
A) one-fourth as much.
D) four times as much.
B) one-half as much.
E) the same.
C) twice as much.
14) You and your friend, who weighs the same as you, want to go to the top of the Eiffel Tower. Your friend
takes the elevator straight up. You decide to walk up the spiral stairway, taking longer to do so. Compare the
gravitational potential energy of you and your friend, after you both reach the top.
A) It is impossible to tell, since the times you both took are unknown.
B) It is impossible to tell, since the distances you both traveled are unknown.
C) Your friend's gravitational potential energy is greater than yours, because he got to the top faster.
D) Both of you have the same amount of gravitational potential energy at the top.
E) Your gravitational potential energy is greater than that of your friend, because you traveled a greater distance
in getting to the top.
15) The graphs shown show the magnitude F of the force exerted by a spring as a function of the distance x the
spring has been stretched. For which one of the graphs does the spring obey Hooke's law?
A) Graph a
B) Graph b
C) Graph c
D) Graph d
E) Graph e
16) A heavy dart and a light dart are launched horizontally on a frictionless table by identical ideal springs. Both
springs were initially compressed by the same amount. Which of the following statements about these darts are
correct? (There could be more than one correct choice.)
A) The darts both have the same kinetic energy just as they move free of the spring.
B) The lighter dart leaves the spring moving faster than the heavy dart.
C) The heavy dart had more initial elastic potential energy than the light dart.
D) Both darts move free of the spring with the same speed.
E) Both darts had the same initial elastic potential energy.
17) When you throw a pebble straight up with initial speed V, it reaches a maximum height H with no air
resistance. At what speed should you throw it up vertically so it will go twice as high?
A) 16V
B) 8V
C) 4V
D) 2V
E) V
18) When you drop a pebble from height H, it reaches the ground with speed V if there is no air resistance.
From what height should you drop it so it will reach the ground with twice speed?
B) 2H
C) 4H
D) 8H
E) 16H
A) H
19) When you drop a pebble from height H, it reaches the ground with kinetic energy K if there is no air
resistance. From what height should you drop it so it will reach the ground with twice as much kinetic energy?
B) 2H
C) 4H
D) 8H
E) 16H
A) H
20) Two objects, one of mass m and the other of mass 2m, are dropped from the top of a building. If there is no
air resistance, when they hit the ground
A) both will have the same kinetic energy.
B) the heavier one will have twice the kinetic energy of the lighter one.
C) the heavier one will have four times the kinetic energy of the lighter one.
D) the heavier one will have half the kinetic energy of the lighter one.
E) the heavier one will have one-fourth the kinetic energy of the lighter one.
21) Swimmers at a water park have a choice of two frictionless water slides, as shown in the figure. Although
both slides drop over the same height h, slide 1 is straight while slide 2 is curved, dropping quickly at first and
then leveling out. How does the speed v1 of a swimmer reaching the bottom of slide 1 compare with v2, the
speed of a swimmer reaching the end of slide 2?
A) v1 > v2
B) v1 < v2
C) v1 = v2
D) The heavier swimmer will have a greater speed than the lighter swimmer, no matter which slide he uses.
E) No simple relationship exists between v1 and v2.
22) Two frisky otters slide down frictionless hillsides of the same height but different slopes. The slope of the
hill of otter 1 is 30°, while the slope of the hill of otter 2 is 60°. If both start from rest, which otter is moving
faster when she reaches the bottom of her hill?
A) Otter 1 is moving faster.
B) Otter 2 is moving faster.
C) The heavier otter is moving faster, no matter which hill she used.
D) Both otters have the same speed at the bottom.
E) The otter that took the shorter time is moving faster.
23) A lightweight object and a very heavy object are sliding with equal speeds along a level frictionless surface.
They both slide up the same frictionless hill with no air resistance. Which object rises to a greater height?
A) The heavy object, because it has greater initial kinetic energy.
B) The light object, because gravity slows it down less.
C) The lightweight object, because the force of gravity on it is less.
D) The heavy object, because it has more mass to carry it up the hill.
E) They both slide to exactly the same height.
24) A person stands on the edge of a cliff. She throws three identical rocks with the same speed. Rock X is
thrown vertically upward, rock Y is thrown horizontally, and rock Z is thrown vertically downward. If the
ground at the base of the cliff is level, which rock hits the ground with the greatest speed if there is no air
resistance?
A) Rock X
C) Rock Z
B) Rock Y
D) They all hit the ground with the same speed.
25) Joe and Bill throw identical balls vertically upward. Joe throws his ball with an initial speed twice as high as
Bill. If there is no air resistance, the maximum height of Joe's ball will be
A) four times that of Bill's ball.
D) eight times that of Bill's ball.
B) two times that of Bill's ball.
E) roughly 1.4 times that of Bill's ball.
C) equal to that of Bill's ball.
26) A stone can slide down one of four different frictionless ramps, as shown in the figure. For which ramp will
the speed of the ball be the greatest at the bottom?
A) Ramp X
B) Ramp Y
C) Ramp Z
D) The speed of the ball will be the same for all ramps.
28) A heavy frog and a light frog jump straight up into the air. They push off in such away that they both have
the same kinetic energy just as they leave the ground. Air resistance is negligible. Which of the following
statements about these frogs are correct? (There could be more than one correct choice.)
A) Just as they leave the ground, the heavier frog is moving faster than the lighter frog.
B) Just as they leave the ground, the lighter frog is moving faster than the heavier frog.
C) They both leave the ground with the same speed.
D) The lighter frog goes higher than the heavier frog.
E) The heavier frog goes higher than the lighter frog.
F) Both frogs reach the same maximum height.
29) Two identical grasshoppers jump into the air with the same initial speed and experience no air resistance.
Grasshopper A goes straight up, but grasshopper B goes up at a 66° angle above the horizontal. Which of the
following statements about these grasshoppers are correct? (There could be more than one correct choice.)
A) At their highest point, both of them have the same amount of gravitational potential energy.
B) At their highest point, both of them have the same amount of kinetic energy.
C) At their highest point, both of them have the same amount of mechanical energy.
D) At their highest point, grasshopper B is moving faster than grasshopper A.
E) At their highest point, grasshopper A has more gravitational potential energy than grasshopper B.
32) A 1-kg ball is released from a height of 6 m, and a 2-kg ball is released from a height of 3 m. Air resistance
is negligible as they fall. Which of the following statements about these balls are correct? (There could be more
than one correct choice.)
A) As they reach the ground, the 1-kg ball will have more kinetic energy than the 2-kg ball because it was
dropped from a greater height.
B) As they reach the ground, the 1-kg ball will be moving faster than the 2-kg ball.
C) Both balls will reach the ground with the same speed.
D) Both balls will reach the ground with the same kinetic energy.
E) Both balls will take the same time to reach the ground.
33) A heavy dart and a light dart are launched vertically by identical ideal springs. Both springs were initially
compressed by the same amount. There is no significant air resistance. Which of the following statements about
these darts are correct? (There could be more than one correct choice.)
A) The heavy dart goes higher than the light dart.
B) The light dart goes higher than the heavy dart.
C) Both darts reach the same maximum height.
D) At the maximum height, both darts have the same gravitational potential energy.
E) Both darts began moving upward with the same initial speed.
34) A heavy sled and a light sled, both moving horizontally with the same speed, suddenly slide onto a rough
patch of snow and eventually come to a stop. The coefficient of kinetic friction between the sleds and the rough
snow is the same for both of them. Which of the following statements about these sleds are correct? (There
could be more than one correct choice.)
A) Both sleds will slide the same distance on the rough snow before stopping.
B) The heavy sled will slide farther on the rough snow than the light sled.
C) The light sled will slide farther on the rough snow than the heavy sled.
D) The friction from the snow will do more negative work on the heavy sled than on the light sled.
E) The friction from the snow will do the same amount of work on both sleds.
35) A heavy sled and a light sled, both moving horizontally with the same kinetic energy, suddenly slide onto a
rough patch of snow and eventually come to a stop. The coefficient of kinetic friction between the sleds and the
rough snow is the same for both of them. Which of the following statements about these sleds are correct?
(There could be more than one correct choice.)
A) Both sleds will slide the same distance on the rough snow before stopping.
B) The heavy sled will slide farther on the rough snow than the light sled.
C) The light sled will slide farther on the rough snow than the heavy sled.
D) On the rough snow, the change in kinetic energy will be the same for both sleds.
E) The friction from the snow will do the same amount of work on both sleds.
38) Two cyclists who weigh the same and have identical bicycles ride up the same mountain, both starting at the
same time. Joe rides straight up the mountain, and Bob rides up the longer road that has a lower grade. Joe gets
to the top before Bob. Ignoring friction and wind resistance, which one of the following statements is true?
A) The amount of work done by Joe is equal to the amount of work done by Bob, but the average power exerted
by Joe is greater than that of Bob.
B) The amount of work done by Joe is greater than the amount of work done by Bob, and the average power
exerted by Joe is greater than that of Bob.
C) Bob and Joe exerted the same amount of work, and the average power of each cyclist was also the same.
D) The average power exerted by Bob and Joe was the same, but Joe exerted more work in getting there.
39) Jill does twice as much work as Jack does and in half the time. Jill's power output is
A) the same as Jack's power output.
D) twice Jack's power output.
B) one-fourth as much as Jack's power output.
E) four times Jack's power output.
C) one-half as much as Jack's power output.
40) A force produces power P by doing work W in a time T. What power will be produced by a force that does
six times as much work in half as much time?
A) 12P
D) P
B) 6P
C) P
E) P