Question

A cyclist on a bike has 4,100J of energy. if the bicycle and cyclist weight 82 kg the velocity of cyclist is

Answer 1

To calculate the velocity of the cyclist, we need to use the equation for kinetic energy:

Kinetic energy (KE) = 1/2 * mass * velocity^2

Given that the cyclist has 4,100J of energy and weighs 82 kg, we can rearrange the equation to solve for velocity:

4,100J = 1/2 * 82kg * velocity^2

Let's solve for velocity:

Divide both sides by 1/2 * 82kg:

8,200J / (1/2 * 82kg) = velocity^2
100J/kg = velocity^2

Take the square root of both sides:

√(100J/kg) = √(velocity^2)
√100J/kg = velocity
10 m/s ≈ velocity

Therefore, the velocity of the cyclist is approximately 10 m/s.