What has the larger kinetic energy, a 10g bullet fired at 500m/s or a 10Kg bowling ball sliding at 10m/s?
What has the larger kinetic energy, a 10g bullet fired at 500m/s or a 10Kg bowling ball sliding at 10m/s?
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![**Question 8: Kinetic Energy Comparison**
*What has the larger kinetic energy, a 10g bullet fired at 500m/s or a 10Kg bowling ball sliding at 10m/s?*
**Illustrations:**
- **Bullet**: Image of a metallic bullet, representing the 10g projectile.
- **Bowling Ball**: Image of a standard bowling ball with finger holes, representing the 10Kg object.
**Analysis:**
To determine which has the larger kinetic energy, we use the formula for kinetic energy (KE):
\[ \text{KE} = \frac{1}{2}mv^2 \]
- **Bullet:**
- Mass (m): 10g = 0.01 kg
- Velocity (v): 500 m/s
- Kinetic Energy:
\[ \text{KE}_{\text{bullet}} = \frac{1}{2} \times 0.01 \times (500)^2 = 1250 \, \text{Joules} \]
- **Bowling Ball:**
- Mass (m): 10 kg
- Velocity (v): 10 m/s
- Kinetic Energy:
\[ \text{KE}_{\text{ball}} = \frac{1}{2} \times 10 \times (10)^2 = 500 \, \text{Joules} \]
**Conclusion:**
The 10g bullet fired at 500m/s has a larger kinetic energy (1250 Joules) compared to the 10Kg bowling ball sliding at 10m/s (500 Joules).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F659ca555-9d28-4154-b7a3-72a82930f29f%2F8b102259-81ea-4a41-882b-0742815f1010%2Frqnmapf_processed.png&w=3840&q=75)
Transcribed Image Text:**Question 8: Kinetic Energy Comparison**
*What has the larger kinetic energy, a 10g bullet fired at 500m/s or a 10Kg bowling ball sliding at 10m/s?*
**Illustrations:**
- **Bullet**: Image of a metallic bullet, representing the 10g projectile.
- **Bowling Ball**: Image of a standard bowling ball with finger holes, representing the 10Kg object.
**Analysis:**
To determine which has the larger kinetic energy, we use the formula for kinetic energy (KE):
\[ \text{KE} = \frac{1}{2}mv^2 \]
- **Bullet:**
- Mass (m): 10g = 0.01 kg
- Velocity (v): 500 m/s
- Kinetic Energy:
\[ \text{KE}_{\text{bullet}} = \frac{1}{2} \times 0.01 \times (500)^2 = 1250 \, \text{Joules} \]
- **Bowling Ball:**
- Mass (m): 10 kg
- Velocity (v): 10 m/s
- Kinetic Energy:
\[ \text{KE}_{\text{ball}} = \frac{1}{2} \times 10 \times (10)^2 = 500 \, \text{Joules} \]
**Conclusion:**
The 10g bullet fired at 500m/s has a larger kinetic energy (1250 Joules) compared to the 10Kg bowling ball sliding at 10m/s (500 Joules).
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