Question

In 1994, Leroy Burrell of the U.S. set what was then a new world record for the men's 100m run. He ran the 100m distance in 9.85s. Assuming that he ran with a constant speed equal to his average speed, and his kinetic energy was 3.40 x 10^3 J, what was Burrell's mass?

Answer 1

Using the kinetic energy formula and the average speed from Leroy Burrell's 100m dash time, we calculated his mass to be approximately 66.13 kg.

Step-by-step explanation:

To determine Leroy Burrell's mass using the given kinetic energy and his world record 100m dash time, we'll use the formulas for kinetic energy and average velocity.

First, we calculate Burrell's average velocity using the distance (d) and the time (t):
average velocity (v) = d / t = 100m / 9.85s = 10.15228426 m/s.

Next, we use the kinetic energy (KE) formula, where KE is one-half times mass (m) times the square of the velocity (v²):
kinetic energy (KE) = 1/2 * m * v².

Given that KE is 3.40 x 10^3 J and the average velocity (v) is 10.15228426 m/s, we solve for mass (m):

3.40 x 10^3 J = 1/2 * m * (10.15228426 m/s)²

m = (2 * 3.40 x 10^3 J) / (10.15228426 m/s)²

m = 66.12730952 kg.

Thus, Leroy Burrell's mass is approximately 66.13 kg.