Question

The momentum of object 1 is (6.70,5.9) kg m/s. The momentum of object 2 is (9.91,1.43) kg m/s.   Object 1 collides with object 2 and they stick together. What is the y-component of the final momentum after the collision if friction is ignored? Assume units of kg m/s and all variables are known to 3 significant figures

Answer 1

Given

initial momentum of the object 1 is Pi_1 = (6.70,5.9) kg m/s.

initial momentum of the object 2 is Pi_2 = (9.91,1.43 kg m/s.

when object 1 collides with object2 , they stick together and moving with a momenymu p =

by conservation of momentum the momentum of the system is equal to the momentum after the collision

momentum before collision is Pi = Pi_1+Pi_2

Pi = (6.70+9.91) kg m/s i + (5.9+1.43) kg m/s j

pi = 16.61 kg m/s i + 7.33 kg m/s j

the momentum after the collision should be equal to the momentum before collision so as the components of the momentum

so the y component of the system after the collision is Pf_y = 7.33 kg m/s