AP Free Response Question
2010 Form B - B1
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A small block of mass 0.15 kg is placed at point A at a height 2.0 meters above the bottom of a track, as shown in the figure above, and is released from rest. It slides with negligible friction down the track, around the inside of the loop of radius 0.60 meters, and leaves the track at point C at a height 0.50 meters above
the bottom of the track.
(a) Calculate the speed of the block when it leaves the track at point C.
(b) On the figure below, draw and label the forces (not components) that act on the block when it is at the top of the loop at point B.
(c) Calculate the minimum speed the block can have at point B without losing contact with the track.
(d) Calculate the minimum height h
_{min}
above the bottom of the track at which the block can be released and still go around the loop without losing contact with the track.
Topic Formulas
Description
Published Formula
centripetal acceleration
elastic potential energy
friction
gravitational potential energy
Hooke's Law
kinetic energy
Newton's 2nd Law
Newton's Law of Universal Gravitation
period of a simple pendulum
period of a spring
potential energy
power
power
work
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