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Physics

A boy weighing 350 N climbs up 30 steps, each 20 cm high in 1 minute.

Calculate:

(i) the work done, and

(ii) the power spent.

Work, Energy & Power

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Answer

We know,
work done = Force × distance moved in direction of force
i.e. W = F × S

Given,

Force = 350 N

Distance covered in 30 steps (S)

S = 30 x 20 cm = 600cm
⇒ S = 6m

Substituting the values of F and S

W=350×6=2100JW = 350 \times 6 \\[0.5em] = 2100J \\[0.5em]

∴ Work done by boy = 2100J

(ii)

Power developed=work donetime taken=210060=35W\text{Power developed} = \dfrac{\text{work done}}{\text{time taken}} \\[0.5em] = \dfrac{2100}{60} \\[0.5em] = 35 W \\[0.5em]

∴ Power spent by boy = 35W

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