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

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Question: 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?

Options:

Correct Answer: 843.75 J

Solution:

Kinetic Energy (KE) = 0.5 × m × v² = 0.5 × 75 kg × (15 m/s)² = 0.5 × 75 × 225 = 8437.5 J.

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?

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.