Question

A sprinter has a mass of 80.0 kg and a kinetic energy of 4,000 J. What is the sprinter’s speed?

Answer 1

The sprinter's speed is 10 m/s.

Step-by-step explanation:

The formula to calculate kinetic energy is:

Kinetic Energy (KE) = (1/2) × mass × velocity²

Given that the sprinter has a mass of 80.0 kg and a kinetic energy of 4,000 J, we can rearrange the formula to solve for velocity:

1. KE = (1/2) × mass × velocity²
2. 4,000 J = (1/2) × 80.0 kg × velocity²
3. Divide both sides by (1/2) × 80.0 kg:

velocity² = (4,000 J) / [(1/2) × 80.0 kg]

Simplifying the equation further:

1. velocity² = 100 m²/s²
2. Take the square root of both sides:
3. velocity = √100 m²/s² = 10 m/s

Therefore, the sprinter's speed is 10 m/s.