A mass 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, P = 13.14 Hp

Explanation:

Given data,

The mass of the object, m = 2000 kg

The object is raised to a height, h = 5.0 m

The time duration of the work, t = 10 s

The force acting on the mass,

F = mg

= 2000 x 9.8

19600 N

The work done on the object is,

W = F x h

= 19600 x 5

= 98000 J

The rate of doing work is defined as the power. It is given by the formula,

P = W / t

= 98000 / 10

= 9800 Watts

1 Hp = 745.7 Watts

Therefore,

9800 watts = 13.14 Hp

Hence, the power output in horsepower to raise the object is, P = 13.14 Hp