## Two people carry identical 40.0 N boxes up a ramp. The ramp is 2.00 m long and rests on a platform that is 1.0 m high. One person walks up t

Question

Two people carry identical 40.0 N boxes up a ramp. The ramp is 2.00 m long and rests on a platform that is 1.0 m high. One person walks up the ramp in 2.0 s and the other person walks up the ramp in 4.0 s. What is the difference in the power the two people use to carry the boxes up the ramp

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24 hours 2021-07-21T23:52:59+00:00 2 Answers 0 views 0

Difference in power = 30 W

Explanation:

Power: This is the rate at which energy is used. The S.I unit of power is Watt.

From the question,

P = W×(L+h)/t

Where, W = weight of the box, L  = length of the ramp, h = height of the platform, t = time.

For the first person,

P₁ = W(L+h)/t₁…………… Equation 1

Where, W = 40 N, L = 2 m, h = 1 m, t₁ = 2 s

Substitute into equation 1

P₁ = 40(2+1)/2

P₁ = 20(3)

P₁ = 60 W.

For the second person,

P₂ = W(L+h)/t₂……………… Equation 2

Given: W = 40 N, L = 2 m, h = 1 m, t₂ = 4 s

Substitute into equation 2

P₂ = 40(2+1)/4

P₂ = 10(3)

P₂ = 30 W

Difference in power = P₁-P₂ = 60-30 = 30 W

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