Chapter 2.2, Problem 13PP

To determine

To calculate: the velocity of the baseball.

Answer to Problem 13PP

The velocity of the baseball is $\boxed{v=40\text{m/s}}$ .

Explanation of Solution

Given:

Momentum of a baseball is $p=6.0\text{kg}\cdot \text{m/s}$ .

Mass of the baseball is $m=0.15\text{kg}$ .

Formula used:

The equation for the momentum of the car can be expressed as

  $p=mv$....................(1)

Here, $v$ and $m$ are speed and mass.

Calculation:

Equation (1) can be rearranged as

  $v=\frac{p}{m}$....................(2)

Substitute $6.0\text{kg×m/s}$ for $p$ and $0.15\text{kg}$ for $m$ in equation (2)

  $\begin{array}{l}v=\frac{6.0\text{kg×m/s}}{0.15\text{kg}}\\ \boxed{v=40\text{m/s}}\end{array}$

Conclusion:

Hence, the velocity of the baseball is $\boxed{v=40\text{m/s}}$ .