Question

two people are wearing harnesses and are hanging from the ceiling by means of ropes. they are face to face and push off eachother. person 1 has a mass of 100kg and person 2 a mass of 80 kg. after the push person 1 swings in an arc that causes hime to rise a height of .3 meters. what height does person 2 rise above his starting position?

Answer 1

both have the same momentum at pushing

80v2=100v1
v2=1.25v1
square it
v2^2=1.56v1^2
so,

so the energy in person1 is m1v1^2
and the energy in person1 is m2v2^2
but m2*g*h2=1/2 m2v2^2=1/2 m2*1.56v1^2
= 1/2*4/5m1v1^2*1.56
= initialKEperson1 * .8*1/56
= m1g*h1*1.25
h2/h1=m1/m2*1.25
=1.25^2=1.56
or h2= 3*1.56meters

check my thinking.