Question

As angle between displacement and force increases magnitude of work (A) remains constant (B) increases (C) reduces (D) remains constant or increases

GSEB - Class 9 Chapter - 1. Work, Energy and Power Page 9

Answer 1

the angle between displacement and force reduce the magnitude of work like when angle is 0 degree then magnitude of the work is maximum and when angle is 90 degree then work is0

Answer 2

The correct option is (c) "reduces".

Explanation:

• The work done by an object is given by :

$W=F{\cdot} d\\\\W=Fd\cos \theta$

$\theta$ is the angle between force and displacement

• When the angle between F and d is 0 degrees, then the work done by object is given by :

$W=Fd\cos (0)=Fd$

• When the angle between F and d is 90 degrees, then the work by object is given by :

$W=Fd\cos (90)=0$

So, it is clear that when the angle between F and d increases, then the work done decreases. Hence, the correct option is (c) "reduces".

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