Two ice skaters are gliding together along the ice, both moving at the same, constant velocity....

Two ice skaters are gliding together along the ice, both moving at the same, constant velocity. They are sliding without exerting a force meaning you can neglect any friction.

The first skater (the one in the back) as a mass M 1_. The second skater (the one in front) has a mass M 2_.

As they are sliding with an initial speed v i, the first skater pushes the second skater directly forward in the direction they are moving. After the push the first skater is not moving (velocity = 0) and the second skater is moving with a speed v f.

In order to make this change in speeds of both skaters, how much energy must the first skater expend? In other words, how much energy must be provided by the skater's muscles to make this change?

Show your work and solve for this energy without using numbers. Plug in numbers to get your final answer. In addition:

Consider another situation where the two skaters are initially at rest. The first skater pushes off the second skater in the same way as described above, providing the same energy through muscle exertion. Solve for the final velocity of the second skater in this case.

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genius_generous answered 1 year ago

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