# A MAN WHOSE mass is 50 kg climbs up 30 steps of a stair in 30 secs, if each step is 20 cm high, then calculate power consumed in climbing upstairs? (pls solve both numericals urgently )

2
by vikasvini

Log in to add a comment

by vikasvini

Log in to add a comment

t=30sec

h=20/100 X 30=6

P=W/t

work done=mgh

therefore,P=mgh/t (g=10m/s^2)

=(50*10*6)/30

=100

hence P=100

time taken = 30 sec

steps =30

each height =20cm =0.2m

so, the total height = 6m

now, power =work / time ...(1)

work = force * distance ...(2)

and force = weight = mg = 50kg * 10m/s² = 500 N ...(3)

now, putting the value of (2) and (3) in (1)

power = 500 * 6 / 30

power = 3000 / 30

∴power = 100 W