Ask Your Teacher In a Broadway performance, an 83.0-kg actor swings from a R = 3.90-m-long cable that is horizontal when he starts. At the bottom of his arc, he picks up his 55.0-kg costar in an inelastic collision. What maximum height do they reach after their upward swing?

The maximum height is 1.41 m.

Explanation:

Given that,

Mass of actor = 83.0 kg

Radius = 3.90 m

Mass of costar = 55.0 kg

We need to calculate the velocity of swing

Use loss in gravitation energy = gain in kinetic energy

Put the value into the formula

We need to calculate the velocity of the system

Using conservation of momentum

Put the value into the formula

We need to calculate the maximum height

Using formula of energy

Gain in gravitational energy = lost in kinetic energy

Hence, The maximum height is 1.41 m.

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