The final velocity of the two vehicles is 37.5 kph and the initial kinetic energy lost is 0.25Joule
a) Prior to and following the impact, momentum is preserved as follows:
3000×50 = 4000×X
X = 37.5 kph
afterward, 37.5km/h is 10.4166m/s so it’s 4000*10.4166²/2 or about 217000 Joule
so 73000 Joule were lost in the collision
b) The portion lost is calculated as the difference between the kinetic energy before and after the collision, divided by the initial energy:
(1/2×3000×50² - 1/2×4000×37.5²) / (1/2 × 3000 × 50²) = 0.25 Joule
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