Question

A boy weighing 400N climbs up a stair of 30 steps each 20 cm high in 4 minutes and a girl weighing 300 N does the same I 3 minutes. Compare :-> 1.the work done by them. 2. the power developed by them.


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Answer 1

Answer:

The comparison of work done by them is 600N and the power developed by them is equal.

Explanation:

Given, No of steps in the stair = 30

And, Height of each step = 20 cm

Hence, height of 30 steps = 30×20 = 600cm = 6m

Given, Weight of the boy = 400N

Weight of the girl = 300N

Hence, Work done by the boy = Force × Distance

= 400 × 6

= 2400Nm(ans).

Hence, Work done by the girl = Force × Distance

= 300 × 6

= 1800Nm(ans).

Comparison = 2400 - 1800 = 600Nm

Again,

Given, Work done by the boy = 2400Nm

Work done by the girl = 1800Nm

Given, Time taken by the boy = 4 minutes

Time taken by the girl = 3 minutes

Hence, Power of the boy = Work done/time taken

= 2400/4 = 600W(ans).

Hence, Power of the girl = Work done/time taken

= 1800/3 = 600W(ans).

Power developed by them is equal.

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