Question

A 15.5 kg ball is moving with a momentum of 40.25 kg⋅m/s. What is the velocity of the ball?

Answer 1

To find the velocity of the ball, we can use the formula for momentum, which is given by

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

We can rearrange this formula to solve for velocity:

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

Given:
- Mass (\(m\)) = 15.5 kg
- Momentum (\(p\)) = 40.25 kg⋅m/s

Now, substituting the values into the equation:

\[
\text{velocity} = \frac{40.25 \, \text{kg⋅m/s}}{15.5 \, \text{kg}}
\]

Calculating this gives:

\[
\text{velocity} = \frac{40.25}{15.5} \approx 2.5974 \, \text{m/s}
\]

Thus, the velocity of the ball is approximately \(2.60 \, \text{m/s}\).