An 82 kg jogger has 810 J of kinetic energy. What is the jogger’s velocity?

12 Nov 2023

Calculating Jogger's Velocity with Kinetic Energy

A jogger with a mass of 82 kg possesses 810 J of kinetic energy. We can determine the jogger's velocity by using the formula:

Kinetic Energy (KE) = 0.5 * mass * velocity^2

Given that the kinetic energy (KE) of the jogger is 810 J and the mass is 82 kg, we can rearrange the formula to solve for velocity:

810 J = 0.5 * 82 kg * velocity^2

First, divide both sides by 0.5 * 82 kg:

velocity^2 = 810 J / (0.5 * 82 kg)

Calculate the value:

velocity^2 = 9.878

Finally, take the square root of 9.878 to find the jogger's velocity:

Velocity = √9.878 ≈ 4.4 m/s

Therefore, the jogger's velocity is approximately 4.4 m/s.

An 82 kg jogger has 810 J of kinetic energy. What is the jogger’s velocity?

Answer: 4.4 m/s Explanation: The jogger's velocity is approximately 4.4 m/s based on the given kinetic energy and mass.