AP Free Response Question
2003 C1
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The 100 kg box shown above is being pulled along the xaxis by a student. The box slides across a rough surface, and its position
x
varies with time
t
according to the equation x = 0.5t
^{3}
+ 2t, where
x
is in meters and
t
is in seconds.
Determine the speed of the box at time t = 0.
Determine the following as functions of time t.
i. The kinetic energy of the box
ii. The net force acting on the box
iii. The power being delivered to the box
Calculate the net work done on the box in the interval t = 0 to t = 2 s.
Indicate below whether the work done on the box by the student in the interval t = 0 to t = 2 s would be greater than, less than, or equal to the answer in part (c).
____Greater than _____Less than _____Equal to
Justify your answer.
Topic Formulas
Description
Published Formula
angular displacement
angular momentum
angular velocity
center of mass
centripetal acceleration
friction
gravitational force (vector)
gravitational potential energy
Hooke's Law
impulse
kinetic energy
linear momentum
linear velocity and angular velocity
moment of inertia
net torque
Newton's 2nd Law
Newton's Law of Universal Gravitation
period and frequency
period of a simple pendulum
period of a spring
potential elastic energy
potential energy
power (dot product)
rate of change of momentum
rate of change of work
rotational kinetic energy
torque
uniform acceleration  displacement and instantaneous velocity
uniform acceleration  instantaneous position
uniform acceleration  instantaneous velocity
work (dot product)
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