You are standing on top of a 10-m high cliff. Below you, on the ground, is a circular target with a radius of 0.5 meters, whose center is 5 meters from the base of the cliff. On top of the cliff, and at the edge, is a circular track of radius r. You are going to drop a 5-kg ball from a height h above the cliff onto the ramp, so that the ball travels around the track and is shot off from the top of the track traveling horizontally. (The track is 3/4 of a circle).
Assume there are no wind, and you now want to take into
consideration the radius of the circular track.
1). If you drop the ball from a
height of 0.625 meters, what can the maximum radius, r, of the
track be, so that the ball lands anywhere on the target, (not just
in the center)?
2). Assuming that the track has the maximum radius
calculate in the previous part, what is the centripetal force on
the ball when it is at the bottom of the circular track?
You are standing on top of a 10-m high cliff. Below you, on the ground, is...
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