Amass of 2000 kg is raised 5.0 m in 10 seconds. what is the power output in horsepower to raise the object?
13
7.5 x 10^6

The power output in horsepower to raise the object is 13.14 horsepower(Hp).

Explanation:

It is known that power required to perform a work is defined as the ratio of energy utilized to do that work per unit time. So, we can write power as the ratio energy utilized to time taken for completing that work.

Thus,

As we known that energy utilized to complete a work will be equal to the work done on the object. Thus,

So,

As it is given in the question that mass of the object is 2000 kg and the object is displaced to 5 m from the ground. So the displacement will be 5 m and the weight of the object can be determined by multiplying the mass with acceleration due to gravity.

Thus, the power formulation can be written as  

But, we need to find in horsepower unit. So, the conversion between watt and horsepower unit is

                    1 horsepower (hp) = 745.7 watts

Thus,

So, the power output in horsepower unit is 13.14 horsepower (Hp).

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