Mohan having a mass of 40 kg runs up a staircase of 50 steps in 10s.If the height of each step is 15cm.What is his power
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m = mass of mohan = 40 kg
n = number of steps mohan ran = 50
h = height of each step = 15 cm = 0.15 m
H = Total height to which mohan is raised
Total height to which mohan is raised is given as
H = n h
inserting the values
H = 50 x 0.15 = 7.5 m
W = work done by mohan = potential energy gained by mohan
we know that potential energy gained is given as
PE = mgH
hence W = work done = PE = mgH
t = time taken to travel the height = 10 s
Power is given as
P = W/t
P = mgH/t
inserting the values
P = (40 x 9.8 x 7.5)/10
P = 294 Watt
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