Question

The average power required to raise a 150 kg weight to a height of 20 m in a time of 10 s. Provide your answer in both kilowatts and horsepower.

Answer 1

The average power required to raise the weight is 2940 W, 2.94 kW in kilowatts, and 0.00393 horsepower in horsepower.

Step-by-step explanation:

The power required to raise a weight to a certain height can be calculated using the formula P = mgh/t, where P is power, m is the mass of the object, g is the acceleration due to gravity, h is the height, and t is the time taken. In this case, the mass is 150 kg, height is 20 m, and time is 10 s.

Using the provided values, we can substitute them into the formula:

P = (150 kg) * (9.8 m/s²) * (20 m) / (10 s) = 2940 W

To convert the power to kilowatts, divide by 1000:

2940 W / 1000 = 2.94 kW.

To convert the power to horsepower, multiply by 0.00134102:

2.94 kW * 0.00134102 = 0.00393 horsepower.