You\'ve been asked to investigate an accident in which a 7600.00 kg bus collided

Question

You've been asked to investigate an accident in which a 7600.00 kg bus collided with a 1900.00 kg car. The bus crashed into the back of the car while the two were both traveling in the same direction. The bus was going 10.50 mi/hr. After the collision, the bus and car together skid to a halt over a distance of 1.29 meters. By researching the properties of the road surface, you determine that the car and bus skid to a halt, slowing down at a constant rate of 6.86 m/s22 .

6[C]) Which combination of statements about the above scenario are most accurate? [Enter your answer as a string of the letter options you believe are correct. For instance, if you think options A, D, and E are correct, then enter "ADE"]

A) The collision is elastic.
B) Kinetic energy before the collision is greater than kinetic energy immediately afterwards.
C) The internal energy of the car/bus/road system may be either larger or smaller after the collision.
D) The road is an approximately isolated system.

Explanation / Answer

after collison

vf^2 = vi^2 + 2as

vf = 0

vi = sqrt(2as)

v = 4.21 m/s

here momentum is conserve

mcvc + mbvb = (mc+mb)v

10.50 mi/hr = 4.69 m/s

vc = 2.27 m/s

collision is inelasic

KEi = mcvc^2/2 + mbvb^2/2

KEi = 88501.9 J

KEf = 1/2 * (mc+mb)v^2

KEf = 84069.3 J

KEi > KEf

internal energy does not change

BD

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