Question

A bowler want to impart 10 kg m/s of momentum to a 5 kg bowling ball to get a hit the bowling pins hard enough. What velocity must the bowler impart to the ball?

Answer 1

To find the velocity that the bowler must impart to the bowling ball, we can use the formula for momentum:

\[
\text{Momentum} = \text{mass} \times \text{velocity}
\]

We can rearrange this formula to solve for velocity:

\[
\text{velocity} = \frac{\text{momentum}}{\text{mass}}
\]

Given:
- Momentum = 10 kg m/s
- Mass of the bowling ball = 5 kg

Now substituting the values into the equation:

\[
\text{velocity} = \frac{10 \, \text{kg m/s}}{5 \, \text{kg}} = 2 \, \text{m/s}
\]

Therefore, the bowler must impart a velocity of **2 m/s** to the bowling ball.