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Kinematics Quiz 3
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1
A swimmer can swim at a speed of m/s in still water. If the current in a river m wide is m/s [E], and the swimmer starts on the south bank and swims so that she is always headed directly across the river, how many meters downstream she will land (from the point opposite her starting point).
2
A ball on a string swings is a horizontal circle of radius m. If its centripetal acceleration is m/s
^{2}
, what is the speed of the ball in m/s?
3
A satellite moves in an approximately circular path around the sun at an average radius of Gm, accelerating centripetally at m/s
^{2}
. How many Earth days does it take the satellite to revolve once around the sun?
4
A ball on a string swings is a horizontal circle of radius m. If its centripetal acceleration is m/s/s , what is the frequency (in Hz) of the ball?
5
A swimmer is on the south shore of a river km wide. He wishes to swim to a dock due north of his starting point. His maximum speed in still water is km/h and the current in the river is flowing km/h to the west. How many degrees relative to the current must he swim?
6
How many minutes does the swimmer in the previous question take to reach the other side?
7
A swimmer can swim at a speed of m/s in still water. The current in a river m wide is m/s [E], and the swimmer starts on the south bank and swims so that she is always headed directly across the river. How many seconds does the swimmer take to reach the opposite shore?
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