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A 4.5 kg bucket of water is raised from a well by a rope. The acceleration of gravity is 9.81 m/s 2 . If the upward acceleration of the bucket is 4.9 m/s2 , find the force exerted by the rope on the bucket of water. Answer in units of N.

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onyebuchinnaji

Answer:

The force exerted by the rope on the bucket of water is 66.195 N.

Explanation:

Given;

mass of the bucket, m = 4.5 kg

acceleration of gravity, g = 9.81 m/s²

upward acceleration of the bucket, a = 4.9 m/s²

The upward force applied on the bucket by the rope is calculated as;

F = ma + mg

F = m(a + g)

F = 4.5(4.9 + 9.81)

F = 4.5(14.71)

F = 66.195 N

Therefore, the force exerted by the rope on the bucket of water is 66.195 N.

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