AP Free Response Question
2006 C1
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A small block of mass M
_{B}
= 0.50 kg is placed on a long slab of mass M
_{S}
= 3.0 kg as shown below.
Initially, the slab is at rest and the block has a speed
v
of 4.0 m/sec to the right. The coefficient of kinetic friction between the block and the slab is µ = 0.20, and there is no friction between the slab and the horizontal surface on which it moves.
(a) On the dots below that represent the block and the slab, draw and label vectors to represent the forces acting on each as the block slides on the slab.
At some moment later, before the block reaches the right end of the slab, both the block and the slab attain identical speeds
v
_{f}
.
(b) Calculate
v
_{f}
.
(c) Calculate the distance the slab has traveled at the moment it reaches
v
_{f}
.
(d) Calculate the work done by friction on the slab from the beginning of its motion until it reaches
v
_{f}
.
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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