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Two ice skaters are gliding together along the ice, both moving at a constant ve

ID: 2177316 • Letter: T

Question

Two ice skaters are gliding together along the ice, both moving at a constant velocity (sliding without exerting a force). The first skater (the one in the back), with mass M1= 63 kg, pushes the second skater (the one in front), with mass M2= 70 kg, directly forward in the direction they are initially moving. After the push the first skater is not moving (velocity = 0) and the second skater is moving with a velocity of 1.70 m/s.

What is the initial speed of the skaters? Give your answer in m/s to three significant digits.

(Note: You can assume the friction of the ice on the skaters can be neglected.)

Explanation / Answer

as friction can be neglected, so we can apply conservation of momentum formula here. initial momen. = m1.u1 + m2.u2= (m1 + m2). u= 133u final momen. = m2. v2 = 119 equating both, we get... u=initial velocity of both = 0.895 m/s

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