Jumping clowns

A clown of mass \(100~\mbox{kg}\) jumps from a height of \(2~\mbox{m}\) onto one end of a seesaw, which is above the ground (see figure). On the other end of the seesaw, which is on the ground, is a \(70~\mbox{kg}\) clown who is launched into the air vertically upwards. If \(2/3\) of the total energy of the first clown is transferred to the second, how high in the air does the second clown go in meters?

Details and assumptions

  • You may neglect air resistance.
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