Question

A 65 kg sprinter completes a 100 m race in 9.83 s. Calculate the average kinetic energy of the sprinter

Answer 1

Answer on Question#40815 – Physics – Mechanics

A 65 kg sprinter completes a 100 m race in 9.83 s. Calculate the average kinetic energy of the sprinter

Solution:

$$m = 65kg - \text{mass of the sprinter}$$ $$S = 100m - \text{traveled distance};$$ $$t = 9.83 - \text{the time required to cover the distance};$$

First we need to determine the average velocity of the sprinter:

$$v_a = \frac{S}{t}$$

Formula for the kinetic energy:

$$E_k = \frac{m v_a^2}{2}$$

(1) in (2):

$$E_k = \frac{m \left(\frac{S}{t}\right)^2}{2} = \frac{65kg \cdot \left(\frac{100m}{9.83s}\right)^2}{2} = 3363 \text{ J}$$

Answer: average kinetic energy of the sprinter is equal to 3363 J.