   Chapter 4, Problem 51P

Chapter
Section
Textbook Problem

A 5.0-kg bucket of water is raised from a well by a rope. If the upward acceleration of the bucket is 3.0 m/s2, find the force exerted by the rope on the bucket.

To determine
The force exerted by the rope on the bucket.

Explanation

Given info: The mass of the bucket is 5.0 kg. The upward acceleration of the bucket is 3.0ms2 .

The free body diagram is given below.

From the diagram,

ma=Tmg

• m is the mass of the bucket
• T is the tension on the rope
• a is the acceleration of the bucket
• g is the acceleration due to gravity

On re-arranging,

T=m(a+g)

Substitute 5.0 kg for m, 9.8ms2 for g and 3

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