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Problem: A car with mass mc = 1000 kg is traveling west through an intersection at a magnitude of velocity of vc  = 5.0 m/s when a truck of mass mt = 1500 kg traveling south at vt = 6.0 m/s fails to yield and collides with the car. The vehicles become stuck together and slide on the asphalt, which has a coefficient of friction with the rubber tires of μk = 0.5.How far, in meters, will the vehicles slide after the collision? 

FREE Expert Solution

Friction force,

fk=μkmg

Work done,

W=fkd

Kinetic energy,

KE=12mv2

Conservation of momentum,

mtv0t+mcv0c=(mt+mc)vf

Vector magnitude,

|v|=(vx)2+(vy)2

mc = 1000 kg 

vc  = - 5.0 m/s î 

m= 1500 kg

vt = - 6.0 m/s ju

μk = 0.5.

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Problem Details

A car with mass mc = 1000 kg is traveling west through an intersection at a magnitude of velocity of vc  = 5.0 m/s when a truck of mass mt = 1500 kg traveling south at vt = 6.0 m/s fails to yield and collides with the car. The vehicles become stuck together and slide on the asphalt, which has a coefficient of friction with the rubber tires of μk = 0.5.

How far, in meters, will the vehicles slide after the collision? 

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