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Is it true that the work done is $1 Joule$ if an applied force of $1 N$ displaces an object $1 m$ in its own direction?

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True

False

answer is A.

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Detailed Solution

The above statement is True.
Work is said to be done when there is a displacement in the direction of the force. Work done is calculated by the formula,

W = F \times s \times cos θ

where

● $F$ is the force applied

● $d$ is the displacement

● $θ$ is the angle between the force and displacement vectors.

And Joule is the SI unit of work.
Since the displacement is in the direction of force so

θ = 0 °

Therefore,

1 J = 1 N \times 1 m \times \cos

0

= 1 N \times 1 m \times 1

(as

s 0 = 1

)

= 1 N \times 1 m

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