A police officer is investigating a car crash involving two vehicles: a red car and a blue truck. The officer knows that the red car was travelling at 20 m/s east before the collision and that the blue truck was travelling at 15 m/s west before the collision. The mass of the red car is 1500 kg and the mass of the blue truck is 2000 kg. The officer wants to determine the following assuming that the collision was inelastic:

Part A: What was the velocity of the cars after the collision

Part B: Find the change in kinetic energy of the system consisting of both cars

Assuming velocity in east positive and in west- as negative. using principle of Conservation of momentum m Initial momentum = Final momentum before collision after collision mass of xvelocity ) + truck ( mass of * velocity ) total mase x belong of touch Car I cord tounk - 15 x 2000 + 20 X 15000 = (1500+2000) 1x - 3000 +3000 = (3500) Uf Final Velocity U. = 0 For truck charge in velocity = 0-(#15m/s) Avenue = 15m/8. For Car change in velocity = Final velocity - initial up 0 - 20 AVcao=- 20 mIs Change in KiE = Final KE - Initial KE =10 - (1muz it I mu,2 ) =-525000 JSolution : Before collision 20m/s 2000 kg 1500 Kq ) = Vi 15 mls After collision C O O Remember , dusing an inclostic collision , the Kit is not corserved . Instead , some of the initial K.G get transformed into other forms of energy, such as heat, Sound, or the potential energy of deformation