Question

A mass of 2000 kg is raised 5.0 m in 10 seconds. What is the power output in horsepower to raise the object?

Answer 1

Answer:

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