Question

The mechanical energy of a football receiver running for a pass is 3.85 kJ. If the receiver has a mass of 89 kg, what is his speed? *

Answer 1

The speed of the football receiver is approximately 0.88 m/s.

Step-by-step explanation:

To find the speed of the football receiver, we can use the formula for mechanical energy:

ME = 1/2 * mv^2

Where ME is the mechanical energy, m is the mass, and v is the speed. Rearranging the formula, we have:

v = √(2 * ME / m)

Substituting the given values, we get:

v = √(2 * 3.85 kJ / 89 kg)

v = √(2 * 3.85 * 10^3 J / 89 kg)

v = √(68.9 J / 89 kg)

v = √(0.775 m^2/s^2)

v ≈ 0.88 m/s

Therefore, the speed of the football receiver is approximately 0.88 m/s.