Express your answer in Watts and horsepower

[Weezergames]

Homework Statement

What is the power output of a bodybuilder who raises 150kg from the ground to a height of 2.2m in 1.3 seconds? Express your answer in Watts and Horsepower (1hp=746w)

Homework Equations

show me how to do this problem

The Attempt at a Solution

show me how to do this problem

 

[Carid]

You are supposed to be a bit more enterprising than this!
Find out what work is.
Find out what power is.
Then make a stab at the answer.

 

[thomate1]

To solve this problem, we need to use the formula for power: P = W/t, where P is power in Watts, W is work in Joules, and t is time in seconds.

First, we need to calculate the work done by the bodybuilder. The formula for work is W = mgh, where m is mass in kilograms, g is acceleration due to gravity (9.8 m/s^2), and h is height in meters. Plugging in the given values, we get:

W = (150 kg)(9.8 m/s^2)(2.2 m) = 3234 Joules

Next, we need to convert the time from seconds to hours, since horsepower is measured in units of power per hour. 1.3 seconds is equal to 0.0003611 hours.

Now, we can plug in our values into the formula for power:

P = (3234 J)/(0.0003611 hr) = 8.96 x 10^6 Watts

To convert this to horsepower, we divide by 746:

8.96 x 10^6 Watts / 746 = 12,021 horsepower

Therefore, the power output of the bodybuilder is 8.96 x 10^6 Watts or 12,021 horsepower.