Question

Juggles the clown stands on one end of a teeter-totter at rest on the ground. Bangles the clown jumps off a platform 2.7 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 3.7 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 88 kg. What is Juggles' mass

Answer 1

Juggle's mass is 64.21 J.

Step-by-step explanation:

Given that,

Bangles the clown jumps off a platform 2.7 m above the ground and lands on the other end of the teeter-totter, launching Juggles into the air and Juggles rises to a height of 3.7 m above the ground, at which point he has the same amount of gravitational potential energy as Bangles had before he jumped.

Let
`m_B\ and\ m_J` are masses of Bangles and Juggles respectively. The potential energy of Bangles before he jumps is :

`P_B=m_Bgh_B`

Here,
`h_B=2.7\ m`

`P_B=88* 9.8* 2.7\\\\P_B=2328.48\ J`

The gravitational potential energy of Bangles before he jumps is equal to gravitational potential energy of Juggles at height 3.7 m. So,

`2328.48=m_J* 9.8* 3.7\\\\m_J=64.21\ kg`

So, Juggle's mass is 64.21 J.