A 1500-kg car moving east at 39 m/scollides with a 1700-kg car moving southat 15

Question

A 1500-kg car moving east at 39 m/scollides with a 1700-kg car moving southat 15 m/s and the two cars stick together. (a) What is the velocity of the cars right after thecollision?
Magnitude ___ m/s Direction ____ degrees south of east (b) How much kinetic energy was converted to another formduring the collision in kJ? A 1500-kg car moving east at 39 m/scollides with a 1700-kg car moving southat 15 m/s and the two cars stick together. (a) What is the velocity of the cars right after thecollision?
Magnitude ___ m/s Direction ____ degrees south of east (b) How much kinetic energy was converted to another formduring the collision in kJ?

Explanation / Answer

mass of the car m = 1500 kg

                        M = 1700 kg

Initial speeds u = 39 i m / s

                     U = 15 (-j) m / s

From lw of conservation of momentum , mu +MU = ( m+ M ) v

From this velocity of the cars right after thecollision v = [ mu +MU ] / ( m+M)

            v = [ 58500i-25500j] / 3200

               = 18.28125i-7.96875 j

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