A30,000-kg freight car is coasting at 0.850 m/s with negligible friction under a hopper that dumps 110,000 kg of scrap metal into it. (a) what is the final velocity of the loaded freight car? (b) how much kinetic energy is lost?

Explanation:

The mass of freight car, m₁ = 30,000 kg

Velocity of freight car, u₁ = 0.85 m/s

Mass of hopper, m₂ = 110,000 kg

(a) Let v is the final velocity of the loaded freight car. Initial momentum of the car before the dump,

Final momentum,

According to the conservation of momentum,

initial momentum = final momentum

25500 kg-m/s = 140000 v

v = 0.182 m/s

So, the  final velocity of the loaded freight car is 0.182 m/s.

(b) Initial kinetic energy,

Final kinetic energy,

So, loss in kinetic energy,

So, 8518.82 J of kinetic energy is lost after collision. Hence, this is the required solution.

gans

explanation:

vestigial organs (like your appendix) are organs that no longer serve a purpose.