A cyclist is moving at a speed of 15 m/s. If the total mass of the cyclist and t

Practice Questions

Q1
A cyclist is moving at a speed of 15 m/s. If the total mass of the cyclist and the bicycle is 75 kg, what is the kinetic energy?
  1. 843.75 J
  2. 562.5 J
  3. 1687.5 J
  4. 1125 J

Questions & Step-by-Step Solutions

A cyclist is moving at a speed of 15 m/s. If the total mass of the cyclist and the bicycle is 75 kg, what is the kinetic energy?
  • Step 1: Identify the formula for kinetic energy, which is KE = 0.5 × m × v².
  • Step 2: Determine the mass (m) of the cyclist and bicycle, which is 75 kg.
  • Step 3: Determine the speed (v) of the cyclist, which is 15 m/s.
  • Step 4: Calculate v² (15 m/s)², which equals 225 m²/s².
  • Step 5: Multiply the mass (75 kg) by v² (225 m²/s²): 75 kg × 225 m²/s² = 16875 kg·m²/s².
  • Step 6: Multiply the result by 0.5: 0.5 × 16875 = 8437.5 J.
  • Step 7: Conclude that the kinetic energy is 8437.5 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.
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