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

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Question: A cyclist is moving at a speed of 15 m/s. If the mass of the cyclist and the bicycle is 75 kg, what is the total kinetic energy?

Options:

Correct Answer: 1000 J

Solution:

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 mass of the cyclist and the bicycle is 75 kg, what is the total kinetic energy?

A cyclist is moving at a speed of 15 m/s. If the mass of the cyclist and the bicycle is 75 kg, what is the total kinetic energy?

Step 1: Identify the formula for kinetic energy (KE). The formula is KE = 0.5 × m × v².
Step 2: Identify the mass (m) of the cyclist and bicycle. In this case, m = 75 kg.
Step 3: Identify the speed (v) of the cyclist. In this case, v = 15 m/s.
Step 4: Calculate v² (the speed squared). v² = (15 m/s) × (15 m/s) = 225 m²/s².
Step 5: Substitute the values into the kinetic energy formula: KE = 0.5 × 75 kg × 225 m²/s².
Step 6: Calculate 0.5 × 75 = 37.5.
Step 7: Multiply 37.5 by 225 to find KE: 37.5 × 225 = 8437.5 J.

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.