Completely Inelastic Collisions Video Lessons

Concept

Problem: A car with mass mc = 1353 kg is travelling west through an intersection at a magnitude of velocity of vc = 6.5 m/s when a track of mass mt= 1647 kg travelling south at vt = 15 A 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.Part (a) Write an expression for the veolocity of the system after the collision, in terms of the variables given in the problem statement and the unit vectors i and j. Part(b) How far, in meters, will the vehicles slide after the collision?

FREE Expert Solution

Part (a)

From the conservation of momentum:

mcvc + mtvt = (mc + mt)vf

vf = (mcvc + mtvt)/(mc + mt)

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Problem Details

A car with mass mc = 1353 kg is travelling west through an intersection at a magnitude of velocity of vc = 6.5 m/s when a track of mass mt= 1647 kg travelling south at vt = 15 A 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.

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

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

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Completely Inelastic Collisions concept. You can view video lessons to learn Completely Inelastic Collisions. Or if you need more Completely Inelastic Collisions practice, you can also practice Completely Inelastic Collisions practice problems.