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If a 1000 kg car accelerates from rest to a speed of 20 m/s in 10 seconds, what

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Question: If a 1000 kg car accelerates from rest to a speed of 20 m/s in 10 seconds, what is the average power output of the car\'s engine?

Options:

  1. 2000 W
  2. 4000 W
  3. 6000 W
  4. 8000 W

Correct Answer: 6000 W

Solution: 

First, calculate the work done: W = 0.5 * m * v^2 = 0.5 * 1000 kg * (20 m/s)^2 = 200000 J. Then, power is P = W/t = 200000 J / 10 s = 20000 W.

If a 1000 kg car accelerates from rest to a speed of 20 m/s in 10 seconds, what

Practice Questions

Q1
If a 1000 kg car accelerates from rest to a speed of 20 m/s in 10 seconds, what is the average power output of the car's engine?
  1. 2000 W
  2. 4000 W
  3. 6000 W
  4. 8000 W

Questions & Step-by-Step Solutions

If a 1000 kg car accelerates from rest to a speed of 20 m/s in 10 seconds, what is the average power output of the car's engine?
  • 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: Identify the time taken to reach that speed, which is 10 seconds.
  • Step 4: Use the formula for work done (W) when accelerating: W = 0.5 * m * v^2.
  • Step 5: Substitute the values into the formula: W = 0.5 * 1000 kg * (20 m/s)^2.
  • Step 6: Calculate (20 m/s)^2, which is 400 m^2/s^2.
  • Step 7: Multiply 0.5 * 1000 kg * 400 m^2/s^2 to get W = 200000 J.
  • Step 8: Use the formula for power (P): P = W / t.
  • Step 9: Substitute the values into the power formula: P = 200000 J / 10 s.
  • Step 10: Calculate the power: P = 20000 W.
  • Kinetic Energy – The work done to accelerate the car is equal to the change in kinetic energy, calculated using the formula W = 0.5 * m * v^2.
  • Power Calculation – Power is defined as the rate of doing work, calculated using the formula P = W/t.
  • Units of Measurement – Understanding the units of work (Joules) and power (Watts) is essential for solving the problem.
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