15. A 50 kg skater at rest on a frictionless
rink throws a 2 kg ball, giving the ball a
velocity of 10 m/s.
Which statement describes the skater's
subsequent motion?
(4 Points)
0.4 m/s in the same direction as the
ball's motion
0.4 m/s in the opposite direction of
the ball's motion
2 m/s in the same direction as the
ball's motion
2 m/s in the opposite direction of
the ball's motiopn
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Answer:
Given A 50 kg skater at rest on a friction less rink throws a 2 kg ball, giving the ball a velocity of 10 m/s.
Which statement describes the skater's subsequent motion?
Applying the law of conservation of momentum that is total momentum of a system remains constant when there are no outside forces.
(m1v1 + m2v2 +…..) initial = (m1v1 + m2v2 + ……) final
Initial momentum is zero and final momentum of ball is positive. Now final momentum of skater must be negative to balance.
50 x 0 + 2 x 0 = 50 v1f + 2 x 10
0 = 50 v1f + 20
So v1f = - 0.4 m / s
So skater moves with a speed of 0.4 m/s in the opposite direction of the ball.
Explanation:
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