Question

A force of 25N causes displacement of 4 m in its own direction .what is the magnitude of work done?? answer is 100 joules​

Answer 1

Answer:

Explanation:

Work done=Force * Displacement

=25 * 4

=100Joules

Answer 2

The magnitude of the work done by the force is 100 joules.

Given,

Force applied to the body=25N

Displacement that the body makes=4 m.

To find,

the magnitude of work done.

Solution:

• Work is said to be done when a force applied to an object displaces it.
• In scalar form, it is given as:
• W= F x d.
• where, F-force applied and d-displacement that the body makes.
• In vector form, the work is given as the dot product of force and the displacement.
• It can further be written as:
• W=Fscosθ
• where, F-force, s-displacement and θ-angle between the force and the displacement.

As mentioned in the question that the displacement is made in the direction of force, thus the angle between the force and the displacement will be 0°.

The magnitude of the work done will be:

W=Fscosθ

W=25 x 4 x cos0°

W=25 x 4 x 1

W=100 Joules.

Hence, the work done is 100 joules.

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