Question
A 0.25 kg ball is moving with a momentum of 5.25 kg⋅m/s. What is the velocity of the ball?
Answers
GPT-4o mini
To find the velocity of the ball, we can use the formula for momentum, which is defined as:
\[
\text{momentum} = \text{mass} \times \text{velocity}
\]
In this case, we have:
- Momentum (p) = 5.25 kg⋅m/s
- Mass (m) = 0.25 kg
We can rearrange the formula to solve for velocity (v):
\[
v = \frac{p}{m}
\]
Substituting in the values we have:
\[
v = \frac{5.25 \, \text{kg⋅m/s}}{0.25 \, \text{kg}}
\]
Calculating this gives:
\[
v = 21 \, \text{m/s}
\]
Therefore, the velocity of the ball is **21 m/s**.
\[
\text{momentum} = \text{mass} \times \text{velocity}
\]
In this case, we have:
- Momentum (p) = 5.25 kg⋅m/s
- Mass (m) = 0.25 kg
We can rearrange the formula to solve for velocity (v):
\[
v = \frac{p}{m}
\]
Substituting in the values we have:
\[
v = \frac{5.25 \, \text{kg⋅m/s}}{0.25 \, \text{kg}}
\]
Calculating this gives:
\[
v = 21 \, \text{m/s}
\]
Therefore, the velocity of the ball is **21 m/s**.