Final answer:
The mass of a cheetah with a kinetic energy of 22,583 J and a speed of 31 m/s is approximately 45.1 kg, calculated using the formula KE = ½ mv².
Step-by-step explanation:
To find the mass of the cheetah given its kinetic energy and speed, we can use the formula for kinetic energy, KE = ½ mv², where 'KE' is kinetic energy, 'm' is mass, and 'v' is speed. We know KE = 22,583 J and v = 31 m/s. Rearranging the formula to solve for mass, m = (2 × KE) / v². Substituting in the given values, m = (2 × 22,583 J) / (31 m/s)². Calculating this gives us the mass of the cheetah.
m = (2 × 22,583 J) / (961 m²/s²) = 45.1 kg
Therefore, the mass of the cheetah is approximately 45.1 kg.