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2OO2AP@ PHYSICS B FREE-RESPONSE OUESTIONS (FOrM B}
PHYSICS B
SECTION II
Time-90 minutes
7 Questions
Directions: Answer all seven questions, which are weighted according to the points indicated. The suggested time
is about 15 minutes for answering each of questions 1-4, and about 10 minutes for answering each of questions 5-7.
The parts within a question may not have equal weight. Show all your work in the goldenrod booklet in the spaces
provided after each part, NOT in this lavender insert.
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C^rY B
CArl A
l. (15 points)
doredia,.
A 2.0 kg frictionless cart is moving at a constant speed of 3.0 m/s to the right on a horizontal surface, as shown
above, when it collides with a second cart of undetermined mass mthat is initially at rest. The force F of the
collision as a function of time r is shown in the graph below, where r = 0 is the instant of initial coniact. As a
result of the collision, the second cart acquires a speed of 15 m/s to the right. Assume that friction is negligible
before, during, and after the collision.
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Time
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the magnitude and direction of the velocity of the 2.0 kg cart after the collision.
(b) Calculate
the mass
m of the second cart.
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Advanced Placement Program and AP are registered &ademarks of the College Entrance Examination Board.
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5
2OO2 AP@
PHYSICS B FREE.RESPONSE QUESTIONS
(FOTTN
B)
After the collision, the second cart eventually experiences a ramp, which it traverses with no frictional losses.
The graph below shows the speed o of the second cart as a function of time r for the next 5.0 s, where f = 0 is
now the instant at which the carts separate.
2.0
(atl. ,)
Speed u (m/s)
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3
Time r (s)
cutrutatetheaccelerarionof thecarrat
r=3.0s.-+
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Calculate the distance traveled by the second cart during the 5.0 s interval after the collision (0 s < r < 5.0 s)7
-:1d)
(e) State whether the ramp goes up or down and calculate the maximum elevation (above or below the initial
tr"ight) reached by the second cart on the ramp during the 5.0 s interval after the collision (0 s < t < 5.0 s).
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Copyright @ 2002 by College Entrance Examination Board. All rights reserved'
Advanced Placement Frogram and AP are registered trademarks of the College Entrance Examination Board-
GO ON TO THE NEXT PAGE.