A helicopter lifts a 72 kg astronaut 15 m vertically from the ocean by means of a cable. The acceleration of the astronaut is 9/10. How much work is done on the astronaut by the force from the helicopter ?

Jazlene Hawkins

Jazlene Hawkins

Answered question

2023-03-19

A helicopter lifts a 72 kg astronaut 15 m vertically from the ocean by means of a cable. The acceleration of the astronaut is 9/10. How much work is done on the astronaut by the force from the helicopter ?

Answer & Explanation

tsunamiwynd6wmb

tsunamiwynd6wmb

Beginner2023-03-20Added 7 answers

By the FBD of the astronaut:
T m g = m a T = m ( g + a ) T = 72 ( 11 g 10 ) N
Work performed by the helicopter's force
W = F s cos θ
Tension and displacement are along same direction θ = 0
W = T s cos 0 = T s W = 72 × 11 × 10 10 × 15 W = 11880   J

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