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4 April, 05:45

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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  1. 4 April, 07:35
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    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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