Question 1. A billiard ball of mass m is directed towards another stationary bal

Question

Question 1. A billiard ball of mass m is directed towards another stationary ball of equal mass (head-on collision, Le. central collision) with velocity v, (a) describe the motion before the collision as viewed from the laboratory (eg specify linear momentum) and (b) show that after the collision the objects exchange linear momentum using Conserva Linear Momentum and Conservation of Energy; (e) in the center of mass reference system, s ero. First show that the velocity of the center of mass system for the two balls above is 0.5 v. Describe the motion of the balls as viewed from the center of mass systems, by finding the momentum of each ball relative to the center of mass. (d) Why is the angular momentum, I- o equal to zero? (e) Is the angular momentum also zero in the lab system2 (25 pts) tion of mentum

Explanation / Answer

a) The linear momentum of the system from the laboratory reference frame is mv.

b) Let v1 and v2 be the velocities of two balls after collision.

Applying law of conservation of momentum

m1v+0=m1v1+m2v2.................(1)

Applying law of conservation of energy

0.5 (m1v2+0)=0.5(m1v12 +m2v22 ).........(2)

Solving the above two equations, v1=0 and v2=v

Hence the objects exchange their momentum.

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