Question

. A force of 40 N applies on an object and displaces it by
2 m. If the angle between force and displacement is
60°, calculate the work done with force. [Ans. 40 J]​

Answer 1

$\huge{\star}{\underline{\boxed{\red{\sf{Answer :}}}}}{\star}$

Given :-

Force (F) = 40 N

Displacement (s) = 2 m

θ (angle) = 60°

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To Find :-

Work Done

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Solution :-

For Work done we have formula :-

$\Huge{\boxed{\boxed{\green{\sf{W \: = \: F.s Cos \theta}}}}}$

___________[Put Values]

$\Large \leadsto{\sf{W \: = \: (40)(2) Cos 60^{\circ}}}$

$\Large \leadsto {\sf{W \: = \: (\cancel{80}) (\frac{1}{\cancel{2}})}}$

As value of Cos60° is 1/2

$\huge \implies {\boxed{\boxed{\sf{W \: = \: 80 \: J}}}}$

Answer 2

Answer:

40J

Explanation:

W = F.d cos∆

= 40N × 2m × cos(60°)

= 40N × 2m × 1/2

= 80N.m/2 = 40J