2. You stand on a raft of mass 200 kg floating on the surface of water. You are 50 kg. You and the raft are both initially at rest. a) You start running at 3 m/s to the right (with respcct to the water), and maintain that speed. What will the speed and direction of the raft be now? b) After a few scconds, you are now 7 meters to the right of your initial position (rclative to the water). Using what you know about the center of mass of the system, find how much the raft has shifted from its initial position. c) You and the raft both stop. While standing on your raft, a strong gust pushes you and the raft with a time varying force to the right, F(t) = c t, where c = 100 N / s, from t = 0s to t = 5s. What is the total impulse on you and the raft from this gust, and what's the corresponding change in velocity? Assume you stay fixed to the surface of the raft.

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2. You stand on a raft of mass 200 kg floating on the surface of water. You are 50 kg. You and the raft
are both initially at rest.
a) You start running at 3 m/s to the right (with respcct to the water), and maintain that speed. What
will the speed and direction of the raft be now?
b) After a few scconds, you are now 7 meters to the right of your initial position (rclative to the water).
Using what you know about the center of mass of the system, find how much the raft has shifted from
its initial position.
c) You and the raft both stop. While standing on your raft, a strong gust pushes you and the raft with a
time varying force to the right, F(t) = c t, where c = 100 N / s, from t = 0s to t = 5s. What is the total
impulse on you and the raft from this gust, and what's the corresponding change in velocity? Assume
you stay fixed to the surface of the raft.
Transcribed Image Text:2. You stand on a raft of mass 200 kg floating on the surface of water. You are 50 kg. You and the raft are both initially at rest. a) You start running at 3 m/s to the right (with respcct to the water), and maintain that speed. What will the speed and direction of the raft be now? b) After a few scconds, you are now 7 meters to the right of your initial position (rclative to the water). Using what you know about the center of mass of the system, find how much the raft has shifted from its initial position. c) You and the raft both stop. While standing on your raft, a strong gust pushes you and the raft with a time varying force to the right, F(t) = c t, where c = 100 N / s, from t = 0s to t = 5s. What is the total impulse on you and the raft from this gust, and what's the corresponding change in velocity? Assume you stay fixed to the surface of the raft.
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