Question

If a ski lift raises 150 passengers averaging 590 N in weight to a height of 244 m in 96.3 s, at constant speed, what average power is required of the force making the lift

Answer 1

Step-by-step explanation:

Below is an attachment containing the solution.

Answer 2

224236.76 W

Step-by-step explanation:

Power: This can be defined as the rate of change of energy. The S.I unit of power is Watt(W).

From the question,

P = E/t ......................... Equation 1

Where P = power, E = Energy or work, t = time.

But,

E = Wt×d.................. Equation 2

Where Wt = Total weight of the passengers, d = distance.

Substitute equation 2 into equation 1

P = (Wt×d)/t.............. Equation 3

Given: Wt = 590×150 =88500 N, d = 244 m, t = 96.3 s.

Substitute into equation 3

P = (88500×244)/96.3

P = 224236.76 W