Given:
Mass, m = 0.35 kg
Kinetic energy, K.E = 79 J
Let's find the velocity.
To solve for the velocity, apply the formula below:
[tex]K.E=\frac{1}{2}mv^2[/tex]Where m is the mass, v is the velocity and K.E is the kinetic energy in Joules.
Rewrite the formula for v:
[tex]v=\sqrt[]{\frac{2(K\mathrm{}E)}{m}}[/tex]Input values into the equation:
Thus, we have:
[tex]\begin{gathered} v=\sqrt[]{\frac{2(79)}{0.35}} \\ \\ v=\sqrt[]{\frac{158}{0.35}} \\ \\ v=\sqrt[]{415.429} \\ \\ v=21.25\text{ m/s} \end{gathered}[/tex]Therefore, the velocity is 21.25 meters per second(m/s).
ANSWER:
21.25 m/s
