A man whose mass is 50 kg climbs up 30 steps of a stair in 30 s. If each step is 20 cm high, calculate the power used in climbing stairs.
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9
Question :
A man whose mass is 50 kg climbs up 30 steps of a stair in 30 s. If each step is 20 cm high, calculate the power used in climbing stairs.
_______________________________________________
Answer :
Given,
→ Mass of man=50 Kg
→ g=10m/s2
1st thing to do,
= 20cm Þ 30 steps = 600 cm = 6m Þ h=6m
w= mgh Þ
w= 50 x 10 x 6
♣ t=30sec Þ
p = w/t Þ
p=50x10x6/30
Þ =100 W
A man whose mass is 50 kg climbs up 30 steps of a stair in 30 s. If each step is 20 cm high, calculate the power used in climbing stairs.
_______________________________________________
Answer :
Given,
→ Mass of man=50 Kg
→ g=10m/s2
1st thing to do,
= 20cm Þ 30 steps = 600 cm = 6m Þ h=6m
w= mgh Þ
w= 50 x 10 x 6
♣ t=30sec Þ
p = w/t Þ
p=50x10x6/30
Þ =100 W
Answered by
3
In climbing the stairs, his gravitational potential energy increases.
P.E. = m * g * h = 50 * 9.81 * (30 * 0.2) = 2943 Joules
He does this in 30 seconds, so the rate of increase of energy is 2943 / 30 Joules/second
=98.1 Watts
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