Question

A 11.0kg bucket is lowered vertically by a rope in which there is 164N of tension at a given instant.

Determine the magnitude of the acceleration of the bucket.
Express your answer to two significant figures and include the appropriate units.

Answer 1

The magnitude of the acceleration is 5.11 m/s²

Step-by-step explanation:

Given;

Tension on the rope, T = 164 N

mass of the bucket, m = 11 kg

Weight of the rope is given by;

W = mg = 11 x 9.8 = 107.8 N

According to Newton's second law of motion, the tension on the rope is given by;

T = W - ma

ma = W - T

ma = 107.8N - 164N

ma = -56.2 N

a = -56.2 / m

a = -56.2 / 11

a = -5.11 m/s²

The magnitude of the acceleration is 5.11 m/s²