Question #17169

Elastic collission in two dimenshan,write expression

Expert's answer

Let two objects with mass m1 and m2.

Initial velocity of object 1 = u1,

Initial velocity of object 2 = u2

Let v1 and v2 be the final velocities after elasticcollision, respectively.

Applying conservation of momentum principle, we get:

m1 * u1 + m2 * u2 = m1 * v1 + m2 * v2

Also the principle of kinetic energy conservation couldbe applied:

m1 * u1^2 / 2 + m2 * u2^2 / 2 = m1 * v1^2 / 2 + m2 * v2^2/ 2.

Initial velocity of object 1 = u1,

Initial velocity of object 2 = u2

Let v1 and v2 be the final velocities after elasticcollision, respectively.

Applying conservation of momentum principle, we get:

m1 * u1 + m2 * u2 = m1 * v1 + m2 * v2

Also the principle of kinetic energy conservation couldbe applied:

m1 * u1^2 / 2 + m2 * u2^2 / 2 = m1 * v1^2 / 2 + m2 * v2^2/ 2.

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