Answer
12.89 BTU
Work Step by Step
Knowns:
m = 3000 lb
v1 = 10 mph * (5280 feet / 1 mile) * (1 hour / 3600 seconds) = 14.67 fps
v2 = 0 mph * (5280 feet / 1 mile) * (1 hour / 3600 seconds) = 0 fps
KE = (1/2) * m * (v2^2-v1^2)
= (1/2) * m * (0 - v1^2)
= (1/2) * (3000 lb) * -((14.67 fps)^2)
= -322,667 (ft * ft/s^2 * lb) * (1/32.174 lbf/lb*ft/s^2)
= -10,028.8 (ft*lbf) * (1 BTU/778.17 lbf*ft)
= -12.89 BTU