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A train of mass 1000 kg is moving with a velocity of 36 km/h. What is its kineti
A train of mass 1000 kg is moving with a velocity of 36 km/h. What is its kinetic energy?
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Q1
A train of mass 1000 kg is moving with a velocity of 36 km/h. What is its kinetic energy?
500 J
1000 J
1800 J
2000 J
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First convert velocity to m/s: 36 km/h = 10 m/s. K.E. = (1/2)mv² = (1/2)(1000 kg)(10 m/s)² = 50000 J.
Questions & Step-by-step Solutions
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Q
Q: A train of mass 1000 kg is moving with a velocity of 36 km/h. What is its kinetic energy?
Solution:
First convert velocity to m/s: 36 km/h = 10 m/s. K.E. = (1/2)mv² = (1/2)(1000 kg)(10 m/s)² = 50000 J.
Steps: 8
Show Steps
Step 1: Identify the mass of the train, which is 1000 kg.
Step 2: Identify the velocity of the train, which is 36 km/h.
Step 3: Convert the velocity from km/h to m/s. Use the conversion: 36 km/h = 36 * (1000 m / 1 km) * (1 h / 3600 s) = 10 m/s.
Step 4: Use the formula for kinetic energy (K.E.), which is K.E. = (1/2)mv².
Step 5: Substitute the values into the formula: K.E. = (1/2)(1000 kg)(10 m/s)².
Step 6: Calculate (10 m/s)², which is 100 m²/s².
Step 7: Multiply 100 m²/s² by 1000 kg to get 100000 kg·m²/s².
Step 8: Multiply by (1/2) to find K.E.: K.E. = (1/2)(100000 kg·m²/s²) = 50000 J.
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