AP Physics B
Spring, 2014
Name:
Bob Leonard
Midterm Review
Instructions: The questions in this packet are intended to provide a useful resource for the Midterm Exam
which is on Wednesday, January, 15, 2014. These questions cover all major topics discussed during the first
half of the school year. The review packet is not optional, and will count towards your homework grade.
Show all your work on a separate sheet of paper.
This packet will provide you with a useful resource when studying for the Midterm Exam. You should
be able to answer all of the questions on this exam without using a calculator or equation sheet.
m
1. A ball is thrown vertically upwards with an initial speed of 10 . How long does it take for the ball to
s
return to its initial height?
(A) 0.5 s
(C) 1.0 s
(B) 2.0 s
(D) 5.0 s
2. How fast is the ball moving at point A?
A
v0 = 30
m
s
60◦
m
sin(60◦ ) = 26
(A) 30
s
m
(C) 30
cos(60◦ ) = 15
s
m
s
m
m
m
(B) 30
tan(60◦ ) = 52
s
ms
(D) 30
s
s
3. Which set of graphs shows the proper relation between position, velocity, and acceleration?
A)
B)
x
v
a
t
t
t
(A) A
(B) B
(C) C
(D) D
C)
x
v
a
t
t
t
D)
x
v
a
t
t
t
x
v
a
t
t
t
AP Physics B/AP Physics Midterm Review
– Page 2 of 12 –
Name:
4. When the brakes are applied, a car traveling 25 mph will move 30 ft before coming to rest. Assume that
the car decelerates at a constant rate. How far would the car have traveled had it been moving at 50
mph?
(A) 15 ft
(B) 60 ft
(C) 30 ft
(D) 120 ft
5. Which of the following statements describe the possible motion of a particle with no net force acting
on it?
The particle:
I stays at rest
II slows down
III moves with a constant speed in a straight line
IV undergoes uniform circular motion
V undergoes simple harmonic motion
(A) I and II
(B) I, II, and IV
(C) I and III
(D) I, III, IV, and V
6. A cannon ball is fired horizontally with an initial speed of 20
far does the ball travel horizontally before hitting the ground?
(A) 10 m
(B) 40 m
(C) 20 m
(D) 80 m
m
from the top of a 20 m tower. How
s
m
due East with respect to the wind. The wind is blowing North at a speed
7. An airship is traveling 4
s
m
of 3 . How fast is the ship moving with respect to the ground?
s
m
m
(A) 1
(B) 5
s
s
m
m
(D) 7
(C) 4
s
s
AP Physics B/AP Physics Midterm Review
– Page 3 of 12 –
Name:
8. A cannon ball is fired at a 45◦ angle above the horizontal. Which of the graphs below correctly describe
the velocity of the ball in the horizontal and vertical direction?
Horizontal:
v
Vertical:
v
A)
t
t
v
v
B)
t
v
t
v
C)
t
t
v
v
D)
t
t
(A) A
(B) B
(C) C
(D) D
9. A model rocket is launched vertically upwards. The rocket engine burns up almost instantly. The rocket
reaches a maximum height of 320 m. How fast was rocket moving immediately after it was launched?
m
m
(B) 64
(A) 40
s
s
m
m
(C) 57
(D) 80
s
s
m
. The jet’s air brakes produce a force of 2.0(106 ) N which
s
opposes the motion of the jet. Assuming this is the only force acting on the jet, how fast is the jet
10. A 4.0(105 ) kg jet is flying at a speed of 300
moving after 10 s?
m
(A) 200
s
m
(C) 250
s
(B) 350
(D) 400
m
s
m
s
11. A 1200 kg car can accelerate from 0
force does the car generate?
(A) 200 N
(B) 1000 N
(C) 300 N
(D) 5000 N
m
m
to 25
in 6 seconds. Neglecting drag and friction, how much
s
s
12. The cable of an elevator has a maximum tension of 12000 N The elevator accelerates upwards at a
m
maximum rate of 2.0 2 . What is the mass limit of the elevator and its contents?
s
(A) 1000 kg
(B) 1400 kg
(C) 1200 kg
(D) 1500 kg
AP Physics B/AP Physics Midterm Review
– Page 4 of 12 –
Name:
13. A cart is placed on a frictionless airtrack which is inclined at an angle of 25◦ . What is the cart’s
acceleration down the track?
m
2
sm
◦
(C) g cos(25 ) = 8.88 2
s
m
(B) g tan(25◦ ) = 4.57 2
s
m
(D) g = 9.8 2
s
(A) g sin(25◦ ) = 4.14
14. A 10 kg object is dropped from a plane. After falling a certain distance, the object reaches a constant
speed, called terminal velocity. The only two forces acting on the object are gravity and drag. What is
the drag force exerted on the object?
(A) 10 N
(B) 98 N
(C) 9.8 N
(D) 200 N
15. A box slides along a flat surface with friction. The box has an initial velocity of 10
10 m before coming to rest. What was the coefficient of friction?
(A) 0.25
(B) 1
(C) 0.5
(D) 2
m
. The box slides
s
16. A box sits on the bed of a truck. The coefficient of static friction between the truck and the box is 0.25.
m
m
to 25
without the box sliding?
How fast can the truck go from 0
s
s
(A) 5 s
(B) 20 s
(C) 10 s
(D) 100 s
17. Two boxes are placed side by side as shown in the figure below. What is the force exerted by the 10 kg
box on the 5 kg box?
30 N
(A) 2 N
(B) 20 N
(C) 10 N
(D) 30 N
10 kg
5 kg
18. Find the tension in the string.
30 kg
20 kg
(A) 40 N
(B) 120 N
(C) 80 N
(D) 200 N
AP Physics B/AP Physics Midterm Review
– Page 5 of 12 –
Name:
19. Find the acceleration of the boxes.
20 kg
30 kg
m
sm2
(C) 2.0 2
s
(A) 1.0
m
sm2
(D) 6.0 2
s
(B) 4.0
20. A 10 N force is applied to a box as shown in the figure below. The box is pushed 4.0 m. How much
work is done by this force?
10 N
30◦
4.0 m
(A) (10 N)(4.0 m) cos(30◦ ) = 35 J
(B) (10 N)(4.0 m) tan(30◦ ) = 23 J
(C) (10 N)(4.0 m) sin(30◦ ) = 20 J
(D) (10 N)(4.0 m) = 40 J
21. A 5.0 kg ball is thrown vertically upwards. The ball reaches a maximum height of 5.0 m, before falling
back to the ground. How much work is done by gravity between the time when the ball is first
thrown upwards until the ball returns to its initial height?
(A) −500 J
(B) 0 J
(C) −250 J
(D) 500 J
22. A 2.0 kg toy airplane is attached to a 4.0 m string and swung around in a circle at a constant speed of
m
5 . How much work is done by the tension in the string?
s
(A) 0 J
(B) 40 J
(C) 25 J
(D) 80 J
AP Physics B/AP Physics Midterm Review
– Page 6 of 12 –
Name:
23. A box slides through a frictionless loop. Which answer shows the correct free-body diagram for the box
at point A?
A
Fc
A)
B)
FN
Fc
Fg
C)
Fg
FN
FN
D)
Fg
Fg
Fg ≡ Gravitational Force
FN ≡ Normal Force
Fc ≡ Centripetal Force
(A) A
(C) C
(B) B
(D) D
24. A 4.0 kg toy car rolls down a 10 m tall ramp. The car then coasts 10 m further before coming to rest.
How much work was done by friction?
(A) −800 J
(B) −200 J
(C) −400 J
(D) 0 J
25. The graph below shows the force exerted on a 4.0 kg box. How fast is the box moving after it was
displaced 6.0 m?
Fk,s
10 N
s
2m 4m 6m
(A) 5.0
(C) 10
m
ms
s
(B) 25
(D) 50
m
s
m
s
AP Physics B/AP Physics Midterm Review
– Page 7 of 12 –
Name:
26. An ideal spring stretches 10 cm when a 10 kg mass is hung from it. What is the spring constant of the
spring?
N
m
N
(C) 100
m
(A) 10
N
m
N
(D) 10, 000
m
(B) 1000
27. A spring with a spring constant, k = 3000
the spring?
(A) 0.15 J
(B) 15 J
(C) 0.3 J
(D) 30 J
N
is compressed by 1.0 cm. How much energy is stored in
m
28. A spring powered pellet gun compresses a spring by 2.0 cm when loaded. The gun can launch a 0.01 kg
pellet 20 m into the air. What is the spring constant of the spring inside the gun?
N
N
(A) 10
(B) 1000
m
m
N
(D) 10, 000
(C) 100
m
29. Which of the following forces are conservative?
I Gravity
II Spring force
III Friction
IV The force you exert when pushing on an object
(A) I only
(B) III and IV
(C) I and II
(D) I, II, and IV
30. The two masses start from rest. What is the total kinetic energy of the two boxes after the 10 kg box
falls 3.0 m?
10 kg
5 kg
(A) 100 J
(B) 300 J
(C) 150 J
(D) 450 J
m
. Friction exerts a constant force on 8.0(105 ) N on the train.
s
What is the power produced by the train of the engine?
31. A train moves at a constant speed of 25
(A) 1.6(104 ) W
(B) 2.0(107 ) W
(C) 3.2(104 ) W
(D) 4.0(107 ) W
AP Physics B/AP Physics Midterm Review
– Page 8 of 12 –
Name:
32. Impulse is equal to which of the following:
I change in total energy
II change in kinetic energy
III change in momentum
IV net work
(A) I and IV
(B) III only
(C) I, II, and IV
(D) none of the above
33. A 10 N force is applied to a cart on a frictionless track. How much does the momentum of the cart
change if the force is applied for 5 seconds?
m
m
(B) 20 kg
(A) 2 kg
sm
s
m
(C) 2.5 kg
(D) 50 kg
s
s
34. Two masses sit on either side of a compressed spring. When the spring is released, it pushes the two
masses apart. The mass, M , obtains a final velocity v. The other mass is twice as massive. How much
energy was stored in the spring?
Initial:
Final:
1
(A) M v 2
2
(C) M v 2
M
2M
v
M
2M
3
(B) M v 2
4
3
(D) M v 2
2
m
35. A 1.0 kg cart moves along an airtrack with an initial speed of 10 . The cart collides with a 3.0 kg cart
s
that is initially at rest. The two carts stick together after the collision. How fast are the carts moving
after the collision?
m
m
(A) 2.5
(B) 5
s
sm
m
(C) 3.3
(D) 10
s
s
m
36. A 1000 kg car is traveling 30
North, when it crashes into the side of a 2000 kg truck, which was
s
m
traveling 20 . The two cars stick together. What is the speed of the two cars immediately after the
s
collision?
m
m
(A) 10
(B) 25
sm
s
m
(C) 16.7
(D) 50
s
s
AP Physics B/AP Physics Midterm Review
– Page 9 of 12 –
Name:
37. A 0.5 kg toy airplane is whirled around in a circle at a constant speed. The string is 2.0 m long. Ignoring
the effects of gravity, what is the tension in the string if the plane is whirled around once ever second?
(use π ≈ 3)
(A) 9.0 N
(B) 36 N
(C) 18 N
(D) 72 N
38. A toy car drives through a loop with a radius of 2.5 m. How fast must the car move through the top of
the loop?
m
m
(B) 10
(A) 2.5
s
s
m
m
(C) 5.0
(D) 25
s
s
39. How long would it take for the Earth to orbit the Sun, if the distance between the Earth and the Sun
doubled?
(A) 2 years
(B) 4.0 years
(C) 2.8 years
(D) 8 years
40. The beam balances in equilibrium. Find the mass, m.
8 kg
m
2m
4m
(A) 2.0 kg
(B) 8.0 kg
(C) 4.0 kg
(D) 16 kg
41. A diving board is supported by two anchors as shown in the figure below. The board has a weight of
40 N. What is the force exerted by the anchor on the left when a 100 N man stands on the edge of the
diving board?
F =?
(A) 140 N
(B) 340 N
(C) 220 N
(D) 480 N
1m
3m
AP Physics B/AP Physics Midterm Review
– Page 10 of 12 –
Name:
42. A simple pendulum is 1.0 m long. How long would a pendulum need to be so that the period is twice
as long?
(A) 0.5 m
(B) 2.0 m
(C) 1.0 m
(D) 4.0 m
The graph below shows the position of a spring-mas system as a function of time. Use the graph below
to answer the questions 53-56.
x
6
8m
2
1
1s
2s
-t
3s
−8 m
43. What is the frequency of the oscillations?
(A) 4.0 Hz
(B) 1.0 Hz
(C) 2.0 Hz
(D) 0.5 Hz
44. How fast is the mass moving at point 1?
m
m
(B) 16
(A) 0
s
s
m
m
(D) 24
(C) 4
s
s
45. How fast is the mass moving at point 2?
m
m
(A) 0
(B) 16
s
s
m
m
(C) 4
(D) 24
s
s
46. A tube is placed inside a plate filled with water. A vacuum is connected to the top of the tube. The
vacuum reduces the pressure inside the tube to 0 Pa. How far above the water in the plate does the
kg
water in the tube get drawn? ρH2O = 103 3 , and Patm = 105 Pa.
m
(A) 1.0 m
(B) 10 m
(C) 5.0 m
(D) 50 m
AP Physics B/AP Physics Midterm Review
– Page 11 of 12 –
Name:
47. A 104 kg car sits on the output plunger of a hydrolic lift. The area of the output plunger is 2.0 m2 . The
input plunger is located at the same height as the output plunger. The input plunger has an area of
10−2 m2 . How much force must be applied to the input plunger to lift the car?
(A) 2.0(106 ) N
6
(C) 5.0(10 ) N
(B) 5.0(102 ) N
(D) 2.0(102 ) N
1
48. When a piece of wood floats in water,
of the volume of the wood floats above water. What is the
3
kg
density of the wood? ρH2O = 103 3
m
kg
kg
(A) 1.5(103 ) 3
(B) 333 3
m
m
kg
kg
(D) 200 3
(C) 666 3
m
m
kg
49. A granite brick has a volume of 0.1 m3 and a density of 2.6(103 ) 3 . What is the buoyant force acting
m
kg
on the brick when submerged in water? ρH2O = 103 3
m
(A) 100 N
(B) 1000 N
(C) 260 N
(D) 2600 N
50. At which point is the pressure the lowest?
C
A
(A) A
(B) B
(C) C
(D) D
D
B
51. A hole is located 20 m below the water level of a dam. What is the speed that water leaks through the
hole?
m
m
(A) 10
(B) 20
s
s
m
m
(C) 14
(D) 28
s
s
52. A container is closed on one end with a piston. The container holds an ideal gas at 1.0(105 ) Pa. A
force is applied to the piston, compressing the gas to half its initial volume. The compression occurs to
quickly that no heat is transfered to the gas or its surroundings. What is the pressure of the gas after
the compression?
(A) 5.0(104 ) Pa
5
(C) 1.0(10 ) Pa
(B) 2.0(105 ) Pa
(D) 4.0(105 ) Pa
AP Physics B/AP Physics Midterm Review
– Page 12 of 12 –
Name:
53. What are the units of the Ideal Gas constant, R?
N
kg
(A)
(B)
mole · K
mole · K
J
N
(C)
(D)
mole · K
m · mole · K
54. A balloon is filled with hydrogen. The pressure inside the balloon is 1.0(105 ) Pa. The density of the
kg
hydrogen in the balloon is 1.2 3 at 300 K. When the balloon is submerged in liquid nitrogen, T = 60 K.
m
What is the density of the hydrogen after the balloon is submerged in liquid nitrogen?
kg
kg
(B) 6.0 3
(A) 0.24 3
m
m
kg
kg
(C) 1.2 3
(D) 30 3
m
m
55. The rms speed of a helium atoms is 1400
(A) 1400
(C) 2800
m
s
m
s
m
sm
(D) 11200
s
m
at 300 K. What is the rms speed of helium at 1200 K?
s
(B) 5600
56. How much energy is stored in one mole of an ideal gas at 200 K?
(A) 1.25(103 ) J
(B) 5.0(103 ) J
(C) 2.5(103 ) J
(D) 7.5(103 ) J
57. An engine has an efficiency of 20%. When 10 kJ of heat is fed into the engine, how much heat is lost to
the environment?
(A) 2 kJ
(B) 5 kJ
(C) 4 kJ
(D) 8 kJ
58. A Carnot engine has an efficiency of 0.4 when running in an environment that is at 300 K. What is the
temperature of the hot reservoir inside the engine?
(A) 120 K
(B) 500 K
(C) 400 K
(D) 1200 K
59. A 50 g ice cube is added to a 100 g glass of water which is 15◦ C. The specific heat of water is
J
J
, and the latent heat of ice is 3(105 )
. How much ice melts?
approximately 4(103 )
◦
kg C
kg
(A) 20 g
(B) 40 g
(C) 30 g
(D) 50 g
60. A 200 m bridge expands by 0.01 m when the temperature increases by 20◦ C. What is the linear coefficient of thermal expansion?
1
1
(A) 10−5 ◦
(B) 4(10−3 ) ◦
C
C
1
1
(C) 2.5(10−6 ) ◦
(D) 2(105 ) ◦
C
C