A piano with a mass of 130 kg is lifted 10m above the ground in 5 s by a crane. What is the power used by the crane, measured in watt?

Respuesta :

Answer:

The power used by the crane = 2548 W

Explanation:

Power: Power can be defined as the rate at which energy is dissipated or expended. The S.I of power is Watt (W). It can be express mathematically as,

Power (P) = Energy/time......................................... Equation 1

But, Energy = mgh..................................................... Equation 2

Where m = mass of the body, g = acceleration due to gravity, h = height.

Given:m = 130 kg, h = 10 m

Constant: g = 9.8 m/s²

Substituting these values into equation 2

Energy = 130×10×9.8

Energy = 12740 J.

Also Given: t = 5 s

Substituting these values into equation 1

Power = 12740/5

Power = 2548 W

Therefore the power used by the crane = 2548 W

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