Question:medium
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 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.
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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.
Updated On: Feb 19, 2026
- 20 J
- 30 J
- 40 J
- 50 J
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The Correct Option is B
Solution and Explanation
The work performed by a force is calculated using the formula:
\[
W = F \times d \times \cos \theta
\]
In this scenario:
- \( F = 10 \, \text{N} \) represents the applied force.
- \( d = 3 \, \text{m} \) denotes the displacement of the object.
- \( \theta = 0^\circ \) indicates that the force acts in the direction of movement, as \( \cos 0^\circ = 1 \).
Consequently, the work done is:
\[
W = 10 \times 3 \times \cos 0^\circ = 10 \times 3 \times 1 = 30 \, \text{J}
\]
Therefore, the work done amounts to \( W = 30 \, \text{J} \).
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