The work done by a force acting obliquely is given by the formula: $W = F cos θ \times s$ . What will happen to the work done if the angle $θ$ between the direction of force and motion of the body is increased gradually? Will it increase, decrease or remains constant?

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Increase

Decrease

Remains constant

None

answer is B.

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Detailed Solution

Work done decreases on increasing the angle between the direction of force and motion of the body.
As we know, work done

W

is given by the formula

\Rightarrow W = F cosθ \times s

.
If we keep increasing the angle between the direction of force and motion of the body, the value of

cos θ

decreases and becomes negative after

90 ° .

If the angle

θ

between the direction of force and motion of the body is

9 0^{0} .

\Rightarrow W = F cos 9 0^{0} \times s

\Rightarrow W = F (0) \times s

\Rightarrow W = 0

Thus, work done decreases on increasing the angle between the direction of force and motion of the body.

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