Question

QUESTION ??


A box is pulled with a force of 25 N to produce a displacement of 15 m. If the angle between the force and displacement is 30o, find the work done by the force.​

Answer 1

Explanation:

Work done= F×S

= 25×15

=375Nm

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Answer 2

Answer:

Given :-

• A box is pulled with a force of 25 N to produce a displacement of 15 m.
• The angle between the force and displacement is 30°.

To Find :-

• What is the work done by the force.

Formula Used :-

$\clubsuit$ Work Done Formula :

$\mapsto \sf\boxed{\bold{\pink{Work =\: Fs\: cos\theta}}}$

where,

• F = Force
• s = Displacement
• $\sf \theta$ = 30°

Solution :-

Given :

• Force = 25 N
• Displacement = 15 m
• Angle between the force and displacement = 30°

According to the question by using the formula we get,

$\implies \sf Work =\: (25)(15) \times cos30^{\circ}$

As we know that :

$\bigstar\: \bf cos30^{\circ} =\: \dfrac{\sqrt{3}}{2}$

$\implies \sf Work =\: 25 \times 15 \times \dfrac{\sqrt{3}}{2}$

$\implies \sf Work =\: {\cancel{375}} \times \dfrac{\sqrt{3}}{\cancel{2}}$

$\implies \sf Work =\: 187.5 \times \sqrt{3}$

$\implies \sf Work =\: 187.5 \times 1.73$

$\implies \sf\bold{\red{Work =\: 324.375\: J}}$

${\small{\bold{\underline{\therefore\: The\: work\: done\: by\: the\: force\: is\: 324.375\: J\: .}}}}$