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Explanation:
Given :
For Boy :
weight of boy W₁ = 40 kgf = 40 x 9.8 N = 392 N
Displacement in vertical direction s₁ = 15 x 15 cm =225 cm = 2.25 m
Time taken to climb t₁ = 10 s
Work done by boy is (W.D)₁ = W₁ x s₁ = 392 x 2.25 = 882 N m
Power developed by boy P₁ = W.D/t = 882/10 = 88.2 W
For Girl :
weight of boy W₂ = 20 kgf = 20 x 9.8 N = 196 N
Displacement in vertical direction s₂ = 15 x 15 cm =225 cm = 2.25 m
Time taken to climb t₂ = 5 s
Work done by girl is (W.D)₂ = W₂ x s₂ = 196 x 2.25 = 441 N m
Power developed by girl P₂ = W.D/t = 441/5 = 88.2 W
∴Work done by boy is double the work done by the girl
and
Power developed by both of them are same.
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