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A cyclist accelerates from rest to a speed of 15 m/s. If the mass of the cyclist

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Question: A cyclist accelerates from rest to a speed of 15 m/s. If the mass of the cyclist and the bicycle is 75 kg, what is the kinetic energy at that speed?

Options:

  1. 500 J
  2. 750 J
  3. 1000 J
  4. 1250 J

Correct Answer: 1000 J

Solution: 

Kinetic Energy = 0.5 × mass × velocity² = 0.5 × 75 kg × (15 m/s)² = 8437.5 J.

A cyclist accelerates from rest to a speed of 15 m/s. If the mass of the cyclist

Practice Questions

Q1
A cyclist accelerates from rest to a speed of 15 m/s. If the mass of the cyclist and the bicycle is 75 kg, what is the kinetic energy at that speed?
  1. 500 J
  2. 750 J
  3. 1000 J
  4. 1250 J

Questions & Step-by-Step Solutions

A cyclist accelerates from rest to a speed of 15 m/s. If the mass of the cyclist and the bicycle is 75 kg, what is the kinetic energy at that speed?
Correct Answer: 8437.5 J
  • Step 1: Identify the formula for kinetic energy, which is Kinetic Energy = 0.5 × mass × velocity².
  • Step 2: Write down the mass of the cyclist and bicycle, which is 75 kg.
  • Step 3: Write down the final speed of the cyclist, which is 15 m/s.
  • Step 4: Substitute the values into the formula: Kinetic Energy = 0.5 × 75 kg × (15 m/s)².
  • Step 5: Calculate (15 m/s)², which is 225 m²/s².
  • Step 6: Multiply 75 kg by 225 m²/s² to get 16875 kg·m²/s².
  • Step 7: Multiply 16875 by 0.5 to find the kinetic energy: 0.5 × 16875 = 8437.5 J.
  • Kinetic Energy – Kinetic energy is the energy an object possesses due to its motion, calculated using the formula KE = 0.5 × mass × velocity².
  • Units of Measurement – Understanding the units involved in the calculation, such as kilograms for mass and meters per second for velocity.
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