Which has greater kinetic energy: a tennis ball that has a mass of 0.3 kg travelling at 80 m/s, or a train that has a mass of 10000 kg and is moving at 0.1 m/s?
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Solution :
- mass of tennis ball = 0.3 kg
- velocity of tennis ball = 80m/s
- mass of train = 10000kg
- velocity of train = 0.1m/s
Kinetic energy= 1/2 mv²
- Kinetic energy of tennis ball :
= 1/2 × 0.3 × 80²
= 1/2 × 0.3 × 80 × 80
= 0.3 × 40 × 80
= 0.3 × 3200
= 3/10 × 3200
= 960 Joules
- Kinetic energy of train :
= 1/2 mv²
= 1/2 × 10,000 × 0.1²
= 5000 × 0.1 × 0.1
= 5000 × 1/10 × 1/10
= 50 joules
Hence
- A tennis ball has much more kinetic energy then a train.
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