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.

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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