Adolf and Ed are wearing harnesses and are hanging from theceiling by means of ropes atached to them. They are face toface and push off against one another. Adolf has a mass of120 kg, and Ed has a mass of 78 kg. Following the push, Adolfswings upward to a height of 0.65 m above his starting point. To what height above his starting point does Ed rise?

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## Answers ( 1 )

p1=m1 v1

and m2 moves right with v2

p2 = m2 v2

but from conservation of momentum p1 = p2 =>

m1 v1 = m2v2 (1)

m1 rises up to height h1 where his potential energy is givenby

m1 g h1

which is equal to the kinetic energy he had when he left thebottom, i.e.

m1 g h1 = (1/2) m1v1

^{2 }(2)Similarly for m2

m2 g h2 = (1/2) m2v2

^{2 }(3)From (1)

v2 = ( m1/m2)v1 (4)

From (3)

h2 = (1/2g)v2

^{2 }(5)substitue v2 from (4) to get

h2 = (1/2g) (m1/m2)

^{2}v1^{2}(6)^{2}from (2) to geth2 = (1/2g) (m1/m2)

^{2}2g h1 or^{2}h1^{2}(.065m) ~ .154 m