Let two objects of equal mass m collide. Object 1 has initial velocity v, directed to the right, and object 2 is initially stationary.

A. If the collision is perfectly elastic, what are the final velocities v1 and v2 of objects 1 and 2?

Give the velocity v1 of object 1 followed by the velocity v2 of object 2, separated by a comma. Express each velocity in terms of v.

(v, 0) or (0, v)

Explanation:

The law of conservation of linear momentum states total initial momentum equal total final momentum.

Total initial momentum =

Total final momentum =

Equating both,

For an elastic collision, kinetic energy is conserved i.e. total initial kinetic energy = total final kinetic energy

From the first equation, .

Substituting this in the second equation,

or

From ,

OR

its a 5.5 n

glad that