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 :
[tex]P=\dfrac{energy}{time}[/tex]
Energy = kinetic energy + potential energy
[tex]E=\dfrac{1}{2}\times 7.27\ kg\times (16\ m/s)^2+7.27\ kg\times 9.8\ m/s^2\times 0.9\ m[/tex]
E = 994.68 J
Power, [tex]P=\dfrac{994.68\ J}{1.3\ s}[/tex]
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.