AP Free Response Question
2006 Form B - B2
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A small block of mass
M
is released from rest at the top of the curved frictionless ramp shown above. The block slides down the ramp and is moving with a speed
3.5v
_{o}
when it collides with a larger block of mass
1.5M
at rest at the bottom of the incline. The larger block moves to the right at a speed
2v
_{o}
immediately after the collision. Express your answers to the following questions in terms of the given quantities and fundamental constants.
(a) Determine the height
h
of the ramp from which the small block was released.
(b) Determine the speed of the small block after the collision.
(c) The larger block slides a distance
D
before coming to rest. Determine the value of the coefficient of kinetic friction
µ
between the larger block and the surface on which it slides.
(d) Indicate whether the collision between the two blocks is elastic or inelastic. Justify your answer.
Topic Formulas
Description
Published Formula
elastic potential energy
friction
gravitational potential energy
Hooke's Law
impulse
kinetic energy
linear momentum
Newton's 2nd Law
Newton's Law of Universal Gravitation
potential energy
power
power
work
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