Rohan (mass 40 kg) and Sohan (mass 60 kg) climb the stairs of their school building to reach the first floor in the 40s and 60s, respectively. Let P1 and P2 be the power delivered in this task by Rohan and Sohan respectively. Which one of the following is correct?
Rohan (mass 40 kg) and Sohan (mass 60 kg) climb the stairs of their school building to reach the first floor in the 40s and 60s, respectively. Let P1 and P2 be the power delivered in this task by Rohan and Sohan respectively. Which one of the following is correct?
Right Answer is:
P1 = 2P2
SOLUTION
Given
Rohan mass M1 = 40 kg
Sohan Mass M2 = 60
Time taken by Rohan T1 = 40s
Time taken by Sohan T2 = 60s
Since both have to reach the first floor, therefore, height is same
Work = mgh
W1 = M1gh = 40 J
W2 = M2gh = 60 J
Power = Work/time
P1 = W1/T1 = 40/40 = 1 J/S
P2 = W2/T2 = 60/60 = 1J/S
Therefore P1 = P2