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PhysicsQ&A LibraryA car with mass mc = 1153 kg is traveling west through an intersection at a magnitude of velocity of vc = 11 m/s when a truck of mass mt = 1998 kg traveling south at vt = 11 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 of μk = 0.5. (a) Write an expression for the velocity of the system after the collision, in terms of the variables given in the problem statement and the unit vectors i and j. (b) How far, in meters, will the vehicles slide after the collision?Question

Asked Nov 7, 2019

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A car with mass *m*_{c} = 1153 kg is traveling west through an intersection at a magnitude of velocity of *v*_{c} = 11 m/s when a truck of mass *m*_{t} = 1998 kg traveling south at *v*_{t} = 11 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 of *μ*_{k} = 0.5.

**(a) ** Write an expression for the velocity of the system after the collision, in terms of the variables given in the problem statement and the unit vectors **i** and **j**.

**(b) ** How far, in meters, will the vehicles slide after the collision?

Step 1

The mass of the car is 1153kg, moving with a speed of 11m/s, and the mas of truck is 1998kg, moving with a speed of 11m/s.

Step 2

(a)The collision is inelastic. Hence the final velocity of car and truck after collision will be v.

Write the momentum conservation equation.

Step 3

(b) Write the expression for kinet...

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