Question

A pitcher supplies a power of P = 227 W to a baseball of mass m = 0.095 kg for a period of t = 0.25 s. what is 5the balls speed in meter per second?

Answer 1

Given data

*The given power is P = 227 W

*The given mass of the baseball is m = 0.095 kg

*The given time is t = 0.25 s

The formula for the relation between the power, energy, and time is given as

$P=\frac{E}{t}$

Substitute the known values in the above expression as

$\begin{gathered} 227=\frac{E}{0.25} \\ E=56.75\text{ J} \end{gathered}$

The formula for the ball speed is given by using the energy relation as

$E=\frac{1}{2}mv^2$

Substitute the known values in the above expression as

$\begin{gathered} 56.75=\frac{1}{2}(0.095)v^2 \\ v=34.5\text{ m/s} \end{gathered}$

Hence, the speed of the ball is v = 34.5 m/s