A ramp that makes an angle θ with the horizontal is placed on a table, as shown at right. A solid ball is released from rest at the top of the ramp and then is projected off the table horizontally. A flexible curved section is attached to the ramp to transition the ball from the ramp to the table. The ball falls into a cup that is at a distance R from the edge of the table. (a) If the experiment is repeated with the angle is increased, where should the cup be placed in order to catch the ball? ___ closer to the table ___ further from the table ___in the same place Justify your answer (b) If the ball is replaced with a hollow sphere of the same mass, where should the cup be placed in order to catch the ball? __ closer to the table ___ further from the table ___in the same place Justify your answer
A ramp that makes an angle θ with the horizontal is placed on a table, as shown at right. A solid ball is released from rest at the top of the ramp and then is projected off the table horizontally. A flexible curved section is attached to the ramp to transition the ball from the ramp to the table. The ball falls into a cup that is at a distance R from the edge of the table.
(a) If the experiment is repeated with the angle is increased, where should the cup be placed in order to catch the ball?
___ closer to the table ___ further from the table ___in the same place
Justify your answer
(b) If the ball is replaced with a hollow sphere of the same mass, where should the cup be placed in order to catch the ball?
__ closer to the table ___ further from the table ___in the same place
Justify your answer
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