General Questions: A person is using a rope to lower a 5.0-N bucket into a well with a constant speed of 2.0 m/s. What is the magnitude of the force exerted by the rope on the bucket

The magnitude of the force exerted by the rope on the bucket is 5.0 N.

Explanation:

Given;

weight of the bucket, W = mg = 5.0 N

constant speed of the bucket, v = 2.0 m/s

Apply Newton's second law of motion to determine the force exerted by the rope on the bucket;

T = mg - ma

where;

T is the tension on the rope which is the force exerted by the rope on the bucket

a is the acceleration of the bucket = 0, since the speed is constant

T = m(g-a)

T = m(g -0)

T = mg

T = mg = 5.0 N

Therefore, the magnitude of the force exerted by the rope on the bucket is 5.0 N.