A racehorse is running at 42 miles per hour, equivalent to 18.8 meters per second. The horse and its jockey have a combined mass of 512 kilograms. How much kinetic energy do they have?

KE=12mv2
(1 point)
Responses

180.961.3 J
180.961.3 J

4,812.8 J
4,812.8 J

451,584.0 J
451,584.0 J

90,480.6 J

1 answer

To calculate the kinetic energy of the horse and jockey, we can use the formula:

KE = 1/2 * m * v^2

where KE is the kinetic energy, m is the mass, and v is the velocity.

Given:
Mass (m) = 512 kg
Velocity (v) = 18.8 m/s

Substituting these values into the formula:

KE = 1/2 * 512 kg * (18.8 m/s)^2
= 1/2 * 512 kg * 353.44 m^2/s^2
= 1/2 * 181,452.8 kg.m^2/s^2
= 90,726.4 J

Therefore, the correct answer is 90,726.4 J.