Question

I swing a ball around my head at constant speed in a circle with circumference 3 m. What is the work done on the ball by the 10 N tension force in the string during one revolution of the ball

Answer 1

Answer:

The work done on the ball by the tension force is 0 J.

Explanation:

The work can be calculated as follows:

$W = |F|\cdot |d|cos(\theta)$

Where:

F: is the tension force = 10 N

d: is the displacement = ball's circumference = 3 m

θ: is the angle between the force and the distance = 90°

Hence, the work is:

$W = |10| \cdot |3| cos(90) = 0 J$

Since the tension force and the displacement vector are orthogonal, the work done on the ball is zero.

                             

Therefore, the work done on the ball by the tension force is 0 J.

I hope it helps you!              

Answer 2

The work done on the ball by the 10 N tension force is zero ( 0 Joules).

Given that:

• the circumference(displacement d) of the ball = 3 m
• the tension force of the ball = 10 N
• the angle θ between the tension force and the displacement =90°

∴

Using the work equation;

W = F × d cos θ

W = 10×3× cos (90)

W = 10 × 3 × 0

W = 0 Joules

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