A 1000 kg car is moving at a speed of 36 km/h. What is its kinetic energy? (1 km

Practice Questions

Q1
A 1000 kg car is moving at a speed of 36 km/h. What is its kinetic energy? (1 km/h = 1/3.6 m/s) (2000)
  1. 500 J
  2. 1000 J
  3. 2000 J
  4. 5000 J

Questions & Step-by-Step Solutions

A 1000 kg car is moving at a speed of 36 km/h. What is its kinetic energy? (1 km/h = 1/3.6 m/s) (2000)
  • Step 1: Identify the mass of the car, which is 1000 kg.
  • Step 2: Identify the speed of the car, which is 36 km/h.
  • Step 3: Convert the speed from km/h to m/s using the conversion factor (1 km/h = 1/3.6 m/s).
  • Step 4: Calculate the speed in m/s: 36 km/h = 36 / 3.6 = 10 m/s.
  • Step 5: Use the formula for kinetic energy (KE): KE = 0.5 × m × v².
  • Step 6: Substitute the values into the formula: KE = 0.5 × 1000 kg × (10 m/s)².
  • Step 7: Calculate (10 m/s)², which is 100 m²/s².
  • Step 8: Multiply: 0.5 × 1000 kg × 100 m²/s² = 50000 J.
  • Step 9: Conclude that the kinetic energy of the car is 50000 Joules.
  • Kinetic Energy – Kinetic energy is the energy possessed by an object due to its motion, calculated using the formula KE = 0.5 × m × v², where m is mass and v is velocity.
  • Unit Conversion – Understanding how to convert units from km/h to m/s is crucial for correctly applying the kinetic energy formula.
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