Juggles the clown stands on one end of a teeter-totter at rest on the ground. Ba

Question

Juggles the clown stands on one end of a teeter-totter at rest on the ground. Bangles the clown jumps off a platform 2.6 m above the ground and lands on the other end of the teeter-totter, launching Juggles into the air. Juggles rises to a height of 3.5 m above the ground, at which point he has the same amount of gravitational potential energy as Bangles had before he jumped, assuming both potential energies are measured using the ground as the reference level. Bangles' mass is 97 kg. What is Juggles' mass?

Explanation / Answer

It is given that gravitational potential energy of Bangles before his jump is equal to the gravitational energy of Juggles when he is at the hoghest point .that is:

UB = UJ   ( UB = potential energy of bangles, UJ = potential energy of Juggles)

mB*g*hB = mJ*g*hJ   ( U = P.E = mgh)

97*9.8*2.6 = mj *9.8 *3.5 ( mB = mass of Bangles = 97 kg, hB= height attain by Bangles = 2.6m)

mJ = 97*2.6 / 3.5

= 72.05kg

this is the mass of Juggles.

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