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

Question

Juggles the clown stands on one end of a teeter - totter at rest onthe ground. Bangles the clown jumps off a platform 2.1 m above theground and lands on the other end of the teeter - totter, launchingJuggles into the air. Juggles rises to a height of 3.8 m above theground, at which point he has the same amount of gravitationalpotential energy as Bangles had before he jumped, assuming bothpotential energies are measured using the ground as the referencelevel. Bangles' mass is 80 kg. What is Juggles' mass?

Explanation / Answer

the potential energy of Bangles is converted to the kineticenergy of the Juggles therefore we get mB * g * hB = (1/2)mJ *uJ2 or mJ = (2 * mB * g *hB/uJ2) mB = 80 kg,g = 9.8 m/s2,hB =2.1 m and uJ2 = 2ghJ wherehJ = 3.8 m or mJ = (2 * 80 * 9.8 * 2.1/2 * 9.8 * 3.8) =44.2 kg or mJ = (2 * mB * g *hB/uJ2) mB = 80 kg,g = 9.8 m/s2,hB =2.1 m and uJ2 = 2ghJ wherehJ = 3.8 m or mJ = (2 * 80 * 9.8 * 2.1/2 * 9.8 * 3.8) =44.2 kg

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