Question

11. Hans and Frans are two workers being considered for a job at the UPS loading dock. Hans boasts that he can lift a 100 kg box 2.0 meters vertically, in 3.0 seconds. Frans counters with his claim of lifting a 200 kg box 5.0 meters vertically, in 20 seconds. Which worker is more powe

Answer 1

Hans is more powerful

Step-by-step explanation:

Power: This can be defined as the rate at which work is done or energy is used up.

The expression for power is given as,

P = E/t

P = mgh/t................. Equation 1

Where P = power, W = Work, t = time, m = mass, h = height, g = acceleration due to gravity.

Hans' power

P = mgh/t

Given: m = 100 kg, h = 2 m, g = 9.8 m/s², t = 3 s

Substitute into equation 1

P = 100(9.8)(2)/3

P = 653.33 W.

Frans' power

P' = mgh/t

Given; m = 200 kg, h = 5 m, t = 20 s.

P' = 200(5)(9.8)/20

P' = 9800/20

P' = 490 W

from the above,

since P>P'

Hence, Hans is more powerful