As a good physicist and a helicopter parent, you would like to check if your chi

Question

As a good physicist and a helicopter parent, you would like to check if your children's cartoons present correct physics. In one cartoon, Tarzan is in peril from a stampede of wildebeests. Lucky for him, Jane is nearby. She grabs a vine and swings down to a stationary Tarzan to save him. At the bottom of the swing, she grabs him. They both continue to swing to safety up to a height which looks to be about one-third that of Jane's original height. It appears that Tarzan has twice the mass of Jane. Decide if you are going to let your children watch this cartoon based on whether or not it is correct physics.

Explanation / Answer

initially ,

mgh = mv^2 /2

v = sqrt(2gh)

using momentum conservation at bottom,

m x sqrt(2gh)   +2m x 0 = (2m + m) v'

v ' = sqrt(2gh) / 3

afte that they will to reach height h'

(m+2m)gh' = (2m+m)v'^2 /2

h' = (2gh/ 9) /2g   = h/9

so they will go to 1/9th height of original.

so its not correct.

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