Answer :
To find the velocity of the bowling ball, we can use the formula for momentum, which is defined as the product of mass and velocity:
[tex]\[ \text{momentum} = \text{mass} \times \text{velocity} \][/tex]
In this problem, we're given the momentum and mass of the bowling ball and need to find the velocity.
Let's break it down step-by-step:
1. Identify the given values:
- Momentum = 218 kg·m/s
- Mass = 35.2 kg
2. Use the formula for momentum to find velocity:
- Rearrange the formula to solve for velocity:
[tex]\[ \text{velocity} = \frac{\text{momentum}}{\text{mass}} \][/tex]
3. Calculate the velocity:
- Substitute the given values into the formula:
[tex]\[ \text{velocity} = \frac{218 \, \text{kg·m/s}}{35.2 \, \text{kg}} \][/tex]
- Divide the momentum by the mass to get the velocity:
[tex]\[ \text{velocity} \approx 6.19 \, \text{m/s} \][/tex]
So, the velocity of the bowling ball is approximately 6.19 m/s.
[tex]\[ \text{momentum} = \text{mass} \times \text{velocity} \][/tex]
In this problem, we're given the momentum and mass of the bowling ball and need to find the velocity.
Let's break it down step-by-step:
1. Identify the given values:
- Momentum = 218 kg·m/s
- Mass = 35.2 kg
2. Use the formula for momentum to find velocity:
- Rearrange the formula to solve for velocity:
[tex]\[ \text{velocity} = \frac{\text{momentum}}{\text{mass}} \][/tex]
3. Calculate the velocity:
- Substitute the given values into the formula:
[tex]\[ \text{velocity} = \frac{218 \, \text{kg·m/s}}{35.2 \, \text{kg}} \][/tex]
- Divide the momentum by the mass to get the velocity:
[tex]\[ \text{velocity} \approx 6.19 \, \text{m/s} \][/tex]
So, the velocity of the bowling ball is approximately 6.19 m/s.
