Question

A force of 10 N is applied to move a body of mass 5 kg over a distance of 3 meters. Find the work done by the force.

• A. 20 J
• B. 30 J
• C. 40 J
• D. 50 J

Hint:

The work done by a force is the product of the force applied, the distance moved in the direction of the force, and the cosine of the angle between them.

Answer 1

The Correct Option is B

The work done by a force is given by the formula: \[ W = F \times d \times \cos \theta \] Where: - \( F = 10 \, \text{N} \) is the force applied, - \( d = 3 \, \text{m} \) is the distance moved by the object, - \( \theta = 0^\circ \) since the force is applied in the direction of motion (cosine of zero is 1). Thus, the work done is: \[ W = 10 \times 3 \times \cos 0^\circ = 10 \times 3 \times 1 = 30 \, \text{J} \] Thus, the work done is \( W = 30 \, \text{J} \).