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A 135-lb student races up stairs with a vertical height of 5.6 m in 4.5 s to get to a class on the second floor. How much power in watts does the student expend in doing work against gravity? answer in:___W

User JorisT
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1 Answer

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The formula for calculating power is expressed as

Power = work done/time

work done = force x distance

Recall, force = mg

where

m is the mass

g is the acceleration due to gravity

From the information given,

m = 135 lb

g = 9.81 m/s^2

distance = 5.6

time = 4.5 s

We would convert 135 lb to kg

Recall,

1 lb = 0.4536 kg

135 lb = 135 x 0.4536 = 61.236 kg

Force = 61.236 x 9.81 = 600.72516 N

work done against gravity = 600.72516 x 5.6 = 3364.060896

Power = 3364.060896/4.5

Power = 747.57 W

User Md Aslam
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