Use the laws of conservation to determine the final velocities of the objects in

Question

Use the laws of conservation to determine the final velocities of the objects involved in each of the following collisions.

1. m1= 10kg, v1i= 6m/s (See bellow for directions of initial and final velocities.)

m2= 10 lg, v2i= 0 (See below for direction of final velocity).

2. m1= 10 kg, v1i= 12m/s (see below for directions of initial and final velocities).

m2= 20 kg, v2i= 0 (See below for direction of final velocity).

>>>>>>>>>>>PLEASE SHOW ALL WORK AND ANSWER FOR KARMA POINTS <<<<<<<<<<<<<<<<

Explanation / Answer

for elastic collision,

conserving momrntum on x-direction only

m1v1i + m2v2i = m1v1f + m2v2f   A

conserving momentum on y-direction

m1v1fsin1=m2v2fsin2 B

1> applying B,

10*v1f*sin30 =10*v2f*sin60 =>v1f= 3v2f

applying A,

10*6 +10*0 =10*v1f cos30 +10*v2f cos 60 =>12=3v1f +v2f

substituting values from A in B,

12=3*(3v2f)+v2f =>12=4v2f => v2f=3

=>v1f=33

similarly do the the next one

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