Mohan, having a mass of 40 kg, runs up staircase of 50 steps in 10 s. If the height of each step is 15 cm, then what is his power?(Take g = 10 m/s$$^2$$ )

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 10 x 7.5)/10

P = 300 Watt