A big rig truck loses its breaks going down a steep highway. The truck has a mass of 36,200 kilograms and is traveling at 78 miles per hour (34.8 meters per second). How much kinetic energy does the truck have when the driver turns into the deep gravel of an emergency ramp?
KE=12mv2
(1 point)
Responses
21,919,824 J
21,919,824 J
43,839,648 J
43,839,648 J
629,880 J
629,880 J
110,120,400 J
To calculate the kinetic energy (KE) of the truck, we can use the formula KE = 1/2 * mass * velocity^2.
Given:
Mass of the truck (m) = 36,200 kg
Velocity of the truck (v) = 34.8 m/s
Using the formula, we can calculate KE as follows:
KE = 1/2 * 36,200 kg * (34.8 m/s)^2
= 1/2 * 36,200 kg * (1209.04 m^2/s^2)
= 21,939,808.8 J (rounded to the nearest whole number)
Therefore, the truck has approximately 21,939,809 J of kinetic energy when the driver turns into the deep gravel of the emergency ramp.