7. At the intersection of Texas Avenue and University drive a car of mass 950 kg

Question

7. At the intersection of Texas Avenue and University drive a car of mass 950 kg travelling east on University Collides with a pick-up truck of mass 1900 kg that i travelling north on Texas Avenue and has run a red light The two vehicles stick together as a result of the collision and the wreckage slides at 16.0 m/s in the direction 24 degree east of north. Ignore frictional forces. (a) Calculate the speed of each vehicle before the collision. (b) What is the momentum of the system after collision?

Explanation / Answer

V1f=( m1-m2 / m1+m2) V1i

16 =( 950-1900) /( 950+1900) V1i

16 = -0.333 V1i

V1i = 48.04m/s

V2f = (2m1/m1+m2) V2i

16 = 2(950)V2i/ 2850

V2i = 24m/s

b) The momentum after collision will be

Pf = ( m1+m2) Vf cos24

   =16 (950+1900) cos 24

   =62486.5Kg m/s

  

  

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