Question

Date: 10/30/2019 An SUV with mass 1.80x10 kg is traveling, while a compact car with mass 9.00 x 10 kg is traveling behind. If two vehicles are both traveling eastward, the compact car leading the SUV. The driver of the compact car slams on the brakes suddenly, slowing the vehicle to 6.00 m/s. If the SUV traveling at 18.0 m/s crashes into the compact car, find (a) the speed of the system right after the collision, assuming the two vehicles become entangled, (b) the change in velocity for both vehicles, and (c) the change in kinetic energy of the system, from the instant before impact (when the car is traveling at 6.00 m/s) to the instant right after the collision. compact

Answer 1

Date / I Pove lo ma= l•80x103 kg mo= 9.0x10² kg VAI = 18.0m UBI = Goom's final velocity 7 Using Conservation of momentum Maunt MouB V (MAX MB) a (1.80 x103 x 13.0) + (9-otro?x 6-07 = (18.00 9.01x107x4 u 14 m/s Final velocity = 14 m/s Change in uelocity for suna {_1&14)= -amis (decrease) - For Car =) (14-6) = 8 m/s (increase) Change in kinetic Energy. For Truch am ve- 1 MAUA? -2 {mo (142 - 182) Truck AREA = -1152001 for car a Imou? I MBU? = 1 MB ( 14² - 6² 1x9.0x10? (142_62) TAKEB = 72000 J 2