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A car accelerates from rest to a speed of 20 m/s. If the mass of the car is 1000

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Question: A car accelerates from rest to a speed of 20 m/s. If the mass of the car is 1000 kg, what is the kinetic energy of the car at that speed? (2000)

Options:

  1. 200 J
  2. 1000 J
  3. 2000 J
  4. 4000 J

Correct Answer: 4000 J

Exam Year: 2000

Solution: 

Kinetic Energy (KE) = 0.5 × m × v² = 0.5 × 1000 kg × (20 m/s)² = 0.5 × 1000 × 400 = 200000 J.

A car accelerates from rest to a speed of 20 m/s. If the mass of the car is 1000

Practice Questions

Q1
A car accelerates from rest to a speed of 20 m/s. If the mass of the car is 1000 kg, what is the kinetic energy of the car at that speed? (2000)
  1. 200 J
  2. 1000 J
  3. 2000 J
  4. 4000 J

Questions & Step-by-Step Solutions

A car accelerates from rest to a speed of 20 m/s. If the mass of the car is 1000 kg, what is the kinetic energy of the car at that speed? (2000)
  • Step 1: Identify the formula for kinetic energy (KE). The formula is KE = 0.5 × m × v².
  • Step 2: Identify the mass (m) of the car. The mass is given as 1000 kg.
  • Step 3: Identify the speed (v) of the car. The speed is given as 20 m/s.
  • Step 4: Substitute the values into the formula. KE = 0.5 × 1000 kg × (20 m/s)².
  • Step 5: Calculate (20 m/s)². This equals 400 m²/s².
  • Step 6: Substitute the squared value back into the equation. KE = 0.5 × 1000 kg × 400 m²/s².
  • Step 7: Multiply 0.5 by 1000. This equals 500.
  • Step 8: Multiply 500 by 400. This equals 200000 J.
  • Step 9: Conclude that the kinetic energy of the car at 20 m/s is 200000 Joules.
  • Kinetic Energy – Kinetic energy is the energy an object possesses due to its motion, calculated using the formula KE = 0.5 × m × v², where m is mass and v is velocity.
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