A 1050-kg sports car is moving westbound at 15.0 m/s on a levelroad when it coll

Question

A 1050-kg sports car is moving westbound at 15.0 m/s on a levelroad when it collides with a 6320-kg truck driving east on the sameroad at 10.0 m/s. The two vehicles remain locked togetherafter the collision.

A.) What is the velocity (magnitude and direction) of the twovehicles just after the collision?

B.) At what speed should the truck have been moving so that it andcar are both stopped in the collision?

C.) Find the change in KE of the system of two vehicles for thesituations of part (a) and part (b).

Explanation / Answer

for A) momentum must be conserved so m1v1i+m2v2i=(m1+m2)vf 1050*15+6320*-10=(1050+6320)vf 15750-63200=7370vf vf=-6.43826m/s the negative just means they are traveling in the direction thetruck was originally moving in for part B) just set the original momentums equal to zero sincethere will be a vf of 0 m1v1i+m2v2i=0 m1v1i=-m2v2i 1050*15=-6320*vf the truck should have been traveling at 2.49209 m/s in order forthem to stop

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