If a 1500 kg car is moving at a speed of 30 m/s, what is its kinetic energy?

Practice Questions

Q1
If a 1500 kg car is moving at a speed of 30 m/s, what is its kinetic energy?
  1. 675,000 J
  2. 450,000 J
  3. 225,000 J
  4. 900,000 J

Questions & Step-by-Step Solutions

If a 1500 kg car is moving at a speed of 30 m/s, what is its kinetic energy?
  • Step 1: Identify the mass of the car. The mass is given as 1500 kg.
  • Step 2: Identify the speed of the car. The speed is given as 30 m/s.
  • Step 3: Write down the formula for kinetic energy: Kinetic Energy = 0.5 × mass × velocity².
  • Step 4: Substitute the mass into the formula: Kinetic Energy = 0.5 × 1500 kg × velocity².
  • Step 5: Calculate the square of the velocity: (30 m/s)² = 900 m²/s².
  • Step 6: Substitute the squared velocity back into the formula: Kinetic Energy = 0.5 × 1500 kg × 900 m²/s².
  • Step 7: Multiply 1500 kg by 900 m²/s²: 1500 kg × 900 m²/s² = 1,350,000 kg·m²/s².
  • Step 8: Multiply by 0.5: Kinetic Energy = 0.5 × 1,350,000 kg·m²/s² = 675,000 J.
  • Kinetic Energy – Kinetic energy is the energy that an object possesses due to its motion, calculated using the formula KE = 0.5 × mass × velocity².
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