A person weighing 500 N climbs 3 m. How much power is needed to make the climb in 5 sec?

Verified Answer :

mouraj

work = 500*3 = 1500 J 
1500J in 5 sec = 300 watts 

Hope that helps:)

Answer: The power needed by the person is 300 W

Explanation:

Power is defined as the ratio of rate of work done by an object.

Mathematically,

\(P=\frac{W}{t}\)

where,

P = power of the person

W = work done by the person = \((F\times d)\)

F = force applied by the person = 500 N

d = displacement of the person = 3 m

t = time taken = 5 sec

Putting values in above equation, we get:

\(P=\frac{F\times d}{t}\\\\P=\frac{500N\times 3m}{5sec}\\\\P=300W\)

Hence, the power needed by the person is 300 W