Question

A man whose mass is 50kg climbs up 30 steps of a stair case in 30 seconds. If the power is 100 W,
how much high is each step?

Answer 1

We are given,

mass, m = 50 kg

time, t = 30 sec

power, P = 100 W

No. of steps = 30

acceleration due to gravity = 10 m/s2

We know,

P = mgh / t

100 W = 50 kg * 10 m/s2 * h / 30 s

100 = 500 * h / 30

30O = 50h

6 = H

Hence, total height = 6m

Now, height of each step -

30h = 6 m

we get h = 6/30 = 0.2 m or 20 CM.

Answer 2

Answer:

A man whose mass is 50 kg climbs up 30 steps of a stair in 30s.

Each step is 20cm high.

Height at 30 steps, h=30×0.2= 6m

Change the potential energy,=mgh =50×10×6=3000 J

So work done by the man , W=3000 J

Power used, P=W/t=3000/30 =100 W

Explanation:

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