Question

Calculate the power output in watts and horsepower of a shot-putter who takes 1.30 s to accelerate the 7.27-kg shot from rest to 16.0 m/s, while raising it 0.900 m. (Do not include the power produced to accelerate his body.) Shot putter at the Dornoch Highland Gathering in 2007.

Answer 1

Step-by-step explanation:

It is given that,

Mass of the shot, m = 7.27 kg

Time taken to accelerate, t = 1.3 s

It is shot from rest to 16 m/s and it raises to a height of 0.9 m. We need to find the power output of the shot-putter. It is given by :

`P=(energy)/(time)`

Energy = kinetic energy + potential energy

`E=(1)/(2)* 7.27\ kg* (16\ m/s)^2+7.27\ kg* 9.8\ m/s^2* 0.9\ m`

E = 994.68 J

Power,
`P=(994.68\ J)/(1.3\ s)`

P = 765.13 Watts

We know that, 1 horse power = 745.7 watts

Or P = 1.02 horse power

Hence, this is the required solution.