A particle of mass m and velocity v traveling in the +X direction decays into tw

Question

A particle of mass m and velocity v traveling in the +X direction decays into two daughter products of mass m1 and m2 with velocities v1 and v2. What is the final momentum p1 and p2 of the daughter products in terms of m, v, m1, m2, and the angle theta in proper vector notation? A block of mass 3kg slides down a frictionless ramp of height 1m and hits another block of mass 5kg elastically and rebounds back with 1/4 of its original velocity. The second block then travels over a patch of rough ground 0.25m long with a coefficient of friction of mu=0.45. At the end of the rough patch is a spring with a spring coefficient of 400N/m. How much does the spring compress? Solve the above problem again except the collision was completely inelastic.

Explanation / Answer

3*9.8*1 = 0.5*3*u*u

u = 4.427

3*4.427 + 0 = - 3*4.427/4 + 5 *v

v = 16.6

0.5*5*16.6*16.6 = 0.45*5*9.8*0.25 + 0.5*400*x*x

x =compression = 3.416 m

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