A man lifts a 25.9 kg bucket from a well and does 5.92 kJ of work. The acceleration of gravity is 9.8 m/s^2. How deep is the well? Assume that the speed of the bucket remains constant as it is lifted. Answer in units of m.

Question

Physics

Riley Sexton

18 May, 21:21

A man lifts a 25.9 kg bucket from a well and does 5.92 kJ of work. The acceleration of gravity is 9.8 m/s^2. How deep is the well? Assume that the speed of the bucket remains constant as it is lifted. Answer in units of m.

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Answers (1)

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Brynn Mora · Answer 1

The well is 23.3 m

Explanation:

As the bucket is lifted out of the well, energy in the man is being transferred to the bucket as gravitational potential energy.

Work done against gravity = mass * height * acceleration due to to gravity

W = mgh

5 920 J = 25.9 kg * h * 9.8 m/s²

h = 23.3 m