A $3.000 \mathrm{~kg}$ ball is pitched with a kinetic energy of $20.00 \mathrm{~J}$. The magnitude of the momentum of the ball is

Question

Quizplus · Accepted Answer

The relationship between kinetic energy (KE) and momentum (p) for an object of mass $m$ is given by $KE = \frac{p^2}{2m}$. Solving for $p$, we get $p = \sqrt{2mKE}$. Substituting $m = 3.000 \, \text{kg}$ and $KE = 20.00 \, \text{J}$, we find $p = \sqrt{2 \times 3.000 \times 20.00} = \sqrt{120.00} = 10.95 \, \text{kg m/s}$.

A 3.000 kg3.000 \mathrm{~kg}3.000 kg Ball Is Pitched with a Kinetic Energy Of 20.00 J20.00 \mathrm{~J}20.00 J

A $3.000 \mathrm{~kg}$ Ball Is Pitched with a Kinetic Energy Of $20.00 \mathrm{~J}$