Respuesta :
Power in watts is 2400 W and in horse power is 3.218 hp.
Explanation:
Power is defined as the amount of work done per unit time. From work energy theorem, the work done is equal to the difference in the kinetic energy. Since the initial speed is zero, so the initial kinetic energy will be zero. So the work done is equal to the final kinetic energy.
[tex]power = \frac{Work done }{Time} \\Work done = \frac{1}{2}*Mass*velocity^{2}\\[/tex]
As the mass is 50 kg and velocity is 14.2 m/s with time 2.1 s, then the work done will be
[tex]Work done = \frac{1}{2}* 50 * 14.2 * 14.2 =5.041 kN.\\Power = 5.041/2.1 =2.400 kW[/tex]
Then this need to be convert to horse power as 1 horse power = 745.7 W.
So, power in horse power will be
[tex]power = \frac{2400}{745.7} = 3.218 hp.[/tex]
So power in watts is 2400 W and in horse power is 3.218 hp.
