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

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Question: A cyclist is moving with a speed of 15 m/s. If the mass of the cyclist and the bicycle is 75 kg, what is the kinetic energy? (2022)

Options:

Correct Answer: 8437.5 J

Exam Year: 2022

Solution:

Kinetic Energy (KE) = 1/2 * m * v^2 = 1/2 * 75 kg * (15 m/s)^2 = 8437.5 J.

A cyclist is moving with a speed of 15 m/s. If the mass of the cyclist and the bicycle is 75 kg, what is the kinetic energy? (2022)

A cyclist is moving with a speed of 15 m/s. If the mass of the cyclist and the bicycle is 75 kg, what is the kinetic energy? (2022)

Step 1: Identify the formula for kinetic energy, which is KE = 1/2 * m * v^2.
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: Substitute the values into the formula: KE = 1/2 * 75 kg * (15 m/s)^2.
Step 5: Calculate (15 m/s)^2, which is 225 m^2/s^2.
Step 6: Multiply 75 kg by 225 m^2/s^2 to get 16875 kg*m^2/s^2.
Step 7: Divide 16875 kg*m^2/s^2 by 2 to find the kinetic energy: 16875 / 2 = 8437.5 J.

Kinetic Energy – Kinetic energy is the energy possessed by an object due to its motion, calculated using the formula KE = 1/2 * m * v^2, where m is mass and v is velocity.