A 518 kg mass is sliding on a horizontal fric- tionless surface with a speed of

Question

A 518 kg mass is sliding on a horizontal fric- tionless surface with a speed of 9.6 m/s when it collides with a 88 kg mass initially at rest, as shown. The masses stick together and slide up a frictionless track at 60? from horizontal.
a. What is the speed of the two blocks immediately after the collision? The acceleration due to gravity is 9.8 m/s2 .
Answer in units of m/s.
b. After the collision, the masses slide up the incline.To what maximum height h above the hor- izontal surface will the masses slide?
Answer in units of m

Explanation / Answer

since no friction so the momentum will be conserved in horizontal direction m1*v1+m2*v2=m*v 518*9.6+88*0=(518+88)*v a)v=8.2m/s b)energy will be conserved so m*g*h=m*v*v/2 8.2*8.2=2*9.8*h h=3.43 m from horizontal

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