Download AP C Test, Newton`s Laws and UCM, 2012 DO NOT WRITE ON

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1. Find the tension in string 1.
A.
B.
C.
D.
E.
1.2N
11N
34N
3.5N
40N
30
2
1
5kg
2. Two forces are the only forces acting on a 3.0-kg object which moves with an acceleration of 3.0 sm2 in the
positive y direction. If one of the forces actsi n the positive x direction and has a magnitude of 8.0 N, what is
the magnitude of the other force?
A. 12N
B. 14N
C. 16N
D. 18N
E. 22N
3. The horizontal surface on which the block slides is frictionless. If F = 20 N and M = 5.0 kg, what is the
magnitude of the resulting acceleration of the block?
A. 5.3 sm2
F
m
B. 6.2 s2
m
C. 7.5 s2
D. 4.7
E. 3.2
30
m
s2
m
s2
M
F
4. The tension in a string from which a 4.0-kg object is suspended in an elevator is equal to 44 N. What is the
acceleration of the elevator?
A. 11 sm2
upward
B.
1.2 sm2
upward
C.
1.2 sm2
downward
D.
10 sm2
upward
E.
2.4 sm2 downward
5. A 2.0-kg block slides on a frictionless 25° inclined plane. A force of 4.6 N acting parallel to the incline and up
the incline is applied to the block. What is its acceleration?
A. 1.8 sm2 up the incline
B.
2.3 sm2 up the incline
C.
6.6 sm2 down the incline
D.
1.8 sm2
E.
2.3 sm2 down the incline
down the incline
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6. A 1.5-kg object has a velocity of 5ĵ m/s at t = 0. It is accelerated at a constant rate for five seconds after which
it has a velocity of (6î + 12 ĵ) m/s. What is the magnitude of the resultant force acting on the object during this
time interval?
A. 3.8 N
B. 3.2 N
C. 2.8 N
D. 4.3 N
E. 4.6 N
7. What is the direction of the resultant force acting on the object in question 6 during this time interval?
A. 65°
B. 56°
C. 61°
D. 49°
E. 27°
8. Two blocks in contact with each other are pushed to the right across a rough horizontal surface by the two
forces shown. If the coefficient of kinetic friction between each of the blocks and the surface is 0.30,
determine the magnitude of the force exerted on the 2.0-kg block by the 3.0-kg block.
A. 15 N
B. 25 N
C. 11 N
D. 22 N
E. 33 N
9. A cart is sliding down a low friction incline. A device on the cart launches a ball, forcing the ball
perpendicular to the incline, as shown above. Air resistance is negligible. Where will the ball land
relative to the cart, and why?
A. The ball will land in front of the cart, because the ball's acceleration component parallel to the plane is
greater than the cart's acceleration component parallel to the plane.
B. The ball will land in front of the cart, because the ball has a greater magnitude of acceleration than the
cart.
C. The ball will land in the cart, because both the ball and the cart have the same component of acceleration
parallel to the plane.
D. The ball will land in the cart, because both the ball and the cart have the same magnitude of acceleration.
E. The ball will land behind the cart, because the ball slows down in the horizontal direction after it leaves
the cart.
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10. A book is placed on a chair. Then a videocassette is placed on the book. The floor exerts a normal
force
A.
B.
C.
D.
E.
on all three.
only on the book.
only on the chair.
upwards on the chair and downwards on the book.
only on the objects you have defined to be part of the system.
11. A mass hangs from two ropes at unequal angles, as shown. Which of the following makes correct
comparisons of the horizontal and vertical components of the tension in each rope?
12. Consider a system consisting only of the Earth and a bowling ball, which moves upward in a
parabola above Earth's surface. The downward force of Earth's gravity on the ball and the upward
force of the ball's gravity on the Earth form a Newton's third law force pair. Which of the following
statements about the ball is correct?
A. The ball must be in equilibrium since the upward forces must cancel downward forces.
B. The ball accelerates toward the Earth because the force of gravity on the ball is greater than the force
of the ball on the Earth.
C. The ball accelerates toward the Earth because the force of gravity on the ball is the only force acting
on the ball.
D. The ball accelerates away from Earth because the force causing the ball to move upward is greater
than the force of gravity on the ball.
E. The ball accelerates away from Earth because the force causing the ball to move upward plus the
force of the ball on the Earth are together greater than the force of gravity on the ball.
13. A car rounds a banked curve of uniform radius. Three forces act on the car: a friction force between
the tires and the road, the normal force from the road, and the weight of the car. Which provides the
centripetal force which keeps the car in circular motion?
A.
B.
C.
D.
E.
the friction force alone
the normal force alone
the weight alone
a combination of the normal force and the friction force
a combination of the friction force and the weight
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14. A ball of mass m anchored to a string swings back and forth to a maximum position A, as shown.
Point C is partway back to the vertical position. What is the direction of the mass's acceleration at
point C?
A.
B.
C.
D.
E.
along the mass's path toward point B
toward the anchor
away from the anchor
between a line toward the anchor and a line along the mass's path
along the mass's path toward point A
15. The horizontal surface on which the objects slide is frictionless. If M = 2.0 kg, the tension in string 1
is 12 N. Determine F.
1
M
A.
B.
C.
D.
E.
2M
2
2M
F
25 N
20 N
30 N
35 N
40 N
16. The system shown is released from rest and moves 50 cm in 1.0 s. What is the value of M?
A.
B.
C.
D.
E.
0.42 kg
0.34 kg
0.50 kg
0.59 kg
0.68 kg
3.0kg
M
17. The block shown is pulled across the horizontal surface at constant speed. Determine the coefficient
of friction between the surface and the block.
A.
B.
C.
D.
E.
0.44
0.33
0.38
0.28
0.17
5kg
14N
35
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18. When an acrobat hangs motionless from a pair of rings,
A.
B.
C.
D.
E.
she has no measureable weight.
her weight depends on the angles the ropes make with the ceiling.
her weight is reduced by the upward force the rings exert on her.
her weight is increased by the upward force the rings exert on her.
she exerts a gravitational force on th Earth that is equal to the sum of the forces the rings exert on her.
19. A race car travels 40 m/s around a banked (45 with the horizontal) circular (radius = 0.20 km) track,.
What is the magnitude of the resultant force on the 80-kg driver of the car?
A.
B.
C.
D.
E.
0.68 kN
0.64 kN
0.72 kN
0.76 kN
0.52 kN
20. A highway curve has a radius of 0.14 km and is unbanked. A car weighing 12 kN goes around the
curve at a speed of 24 m/s without slipping. What is the magnitude of the horizontal force of the road
on the car?
A.
B.
C.
D.
E.
6.7 kN
17 kN
1.3 kN
5.0 kN
49 kN
21. A split highway has a number of lanes for traffic. For traffic going in one direction, the radius for the
inside of the curve is half the radius for the outside. One car, car A, travels on the inside, while
another car of equal mass, car B, travels at equal speed on the outside of the curve. Which statement
about resultant forces on the cars is correct?
A.
B.
C.
D.
E.
The force on A is half the force on B.
The force on B is half the force on A.
The force on A is four times the force on B
The force on B is four times the force on A.
There is no net resultant force on either as long as they stay on the road whle turning.
22. A student is sitting on the right side of a school bus when it makes a right turn. We know that the
force of gravity acts downwards and a normal force from the seat acts upwards. If the student stays
in place when the bus turns, we also know that there must be
A.
B.
C.
D.
E.
No other force on the student.
A force parallel to the seat directed forward on the student.
A force parallel to the seat directed to the left on the student.
A force parallel to the seat directed to the right on the student.
A force parallel to the seat in a direction between forward and left on the student.
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23. When a car goes around a curve on a level road,
A.
B.
C.
D.
E.
no frictional force is necessary because the car simply follows the road.
the frictional force of the road on the car increases when the car’s speed decreases.
the frictional force of the road on the car increases when the car’s speed increases.
the frictional force of the road on the car increases when the car moves to the outside of the curve.
there is no net frictional force because the road and the car exert equal and opposite forces on each
other.
24. Two small plastic cylindrical containers with flat bottoms are palced on a turntable that has a flat smooth
surface. Canister A is empty; Canister B contains lead shot. Each canister is the same distance r from the
center. The coefficient of static friction between the canisters and the turntable is μ. When the speed of the
turntable is gradually increased,
A.
B.
C.
D.
E.
only the lighter container slides outward off the turntable; the heavier one stays on.
only the heavier container slides outward off the turntable; the lighter one stays on.
both containers slide off the turntable at the same turntable speed.
the lighter container slides inward.
the heavier container slides inward.
25. Which is the correct force diagram for a ball on a string swinging around your head (a conical pendulum)?
Tcos Θ
T
A
FC
B
mg
mg
T
C
FC
mg
mg
T
E
FC
mg
D