1. Dan is gliding on his skateboard at 2.66 m/s . He suddenly jumps backward off the skateboard, kicking the skateboard forward at 6.52 m/s (as measured by an observer on the ground). Dan's mass is 50.1 kg and the skateboard's mass is 7.09 kg.
a) How fast is Dan going as his feet hit the ground?
b) If the jump requires 9.20×10−2 ss to complete, what average force did Dan exert on the skateboard? Include the direction of the force as an appropriate positive or negative value assuming that Dan was moving in the positive (forward) direction initially.
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2. A 55.0 kg archer, standing on frictionless ice, shoots a 200 g arrow at a speed of 80.0 m/s to the right.
a) What is the velocity of the archer after the shot?
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