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A cyclist is moving at a speed of 15 m/s. If the total mass of the cyclist and t
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?
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Practice Questions
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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?
843.75 J
562.5 J
1687.5 J
1125 J
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Kinetic Energy (KE) = 0.5 × m × v² = 0.5 × 75 kg × (15 m/s)² = 0.5 × 75 × 225 = 8437.5 J.
Questions & Step-by-step Solutions
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Q
Q: 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?
Solution:
Kinetic Energy (KE) = 0.5 × m × v² = 0.5 × 75 kg × (15 m/s)² = 0.5 × 75 × 225 = 8437.5 J.
Steps: 7
Show Steps
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.
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