Answer:
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
The difference in the power for two people to carry the boxes up the ramp is 30 W.
Given data:
The weight of boxes are, W = 40.0 N.
The length of ramp is, L = 2.00 m.
The height of platform is, h = 1.0 m.
The time interval for the first person is, t = 2.0 s.
The time interval for the other person is, t' = 4.0 s.
This is the rate at which energy is used is known as Power. From the given question, the expression for the Power is given as,
P = W×(L+h)/t
Solve for the first person as,
P₁ = W(L+h)/t₁...................................................................(1)
Substitute the values in equation (1) as,
P₁ = 40(2+1)/2
P₁ = 20(3)
P₁ = 60 W.
For the second person,
P₂ = W(L+h)/t₂......................................................................(2)
Substitute the values into equation (2) as,
P₂ = 40(2+1)/4
P₂ = 10(3)
P₂ = 30 W
Now, obtaining the difference in power as,
P = P₁ - P₂
P = 60-30
P = 30 W
Thus, we can conclude that the difference in the power for two people to carry the boxes up the ramp is 30 W.
Learn more about the concept of power here:
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