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

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