Question

swyk: energy
5 of 14
possible points: 2.05
what is the velocity of a 0.058kg tennis ball that has a kinetic energy of 64.6j?
kinetic energy (j)
mass (kg)
velocity (m/s)
what is the kinetic energy of the box in j?

Explanation:

Step1: Write the kinetic energy formula

The formula for kinetic energy is \( KE=\frac{1}{2}mv^{2} \), where \( KE\) is kinetic energy, \( m\) is mass, and \( v\) is velocity. We need to solve for \( v\). Rearranging the formula for \( v\), we get \( v = \sqrt{\frac{2KE}{m}}\).

Step2: Substitute the given values

Given \( KE = 64.6\space J\) and \( m=0.058\space kg\). Substitute these values into the formula: \( v=\sqrt{\frac{2\times64.6}{0.058}}\).
First, calculate \( 2\times64.6 = 129.2\). Then, \(\frac{129.2}{0.058}=2227.5862\).

Step3: Calculate the square - root

\( v=\sqrt{2227.5862}\approx47.2\space m/s\)

Answer:

\(47.2\space m/s\)