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

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?

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.