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?

1 answer

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.