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A car of mass 1000 kg accelerates from rest to a speed of 20 m/s. What is the wo
A car of mass 1000 kg accelerates from rest to a speed of 20 m/s. What is the work done on the car?
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Practice Questions
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Q1
A car of mass 1000 kg accelerates from rest to a speed of 20 m/s. What is the work done on the car?
20000 J
40000 J
80000 J
100000 J
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Kinetic energy = 0.5 × m × v^2 = 0.5 × 1000 kg × (20 m/s)^2 = 200000 J.
Questions & Step-by-step Solutions
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Q
Q: A car of mass 1000 kg accelerates from rest to a speed of 20 m/s. What is the work done on the car?
Solution:
Kinetic energy = 0.5 × m × v^2 = 0.5 × 1000 kg × (20 m/s)^2 = 200000 J.
Steps: 9
Show Steps
Step 1: Identify the mass of the car, which is 1000 kg.
Step 2: Identify the final speed of the car, which is 20 m/s.
Step 3: Use the formula for kinetic energy, which is KE = 0.5 × m × v^2.
Step 4: Substitute the mass (1000 kg) into the formula.
Step 5: Substitute the speed (20 m/s) into the formula.
Step 6: Calculate (20 m/s)^2, which is 400 m^2/s^2.
Step 7: Multiply 0.5 by 1000 kg, which gives 500 kg.
Step 8: Multiply 500 kg by 400 m^2/s^2, which gives 200000 J.
Step 9: Conclude that the work done on the car is 200000 J.
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