. Elastic Collinions. In class we derived the expno for the fiun tor two objects

Question

. Elastic Collinions. In class we derived the expno for the fiun tor two objects elastically colliding for the sperial case whre one objects was stationary before the ecollision Using these expressions (or from memory) write down the an following three questions. Hint: remember that 2, ete. to the t of mAssi traveling to the right with velocity v collides elastically with an object of mass ma that is stationary and after the collision if m2 = m? /4 points the right with velocity ul = u collides stically with an object of mass m2 that is stationary. What are the approximate ii) An object of mass mi traveling to velocities v and after the collison if m2 m? 4 points] u collides elastically with an object of mass m2 that is stationary. What are the approzimate velocities vi and after the collision if m2 m1? [4 points] iii) An object of mass mi traveling to the right with velocity u| 1 point bonus if all three co

Explanation / Answer

i)

Using the formula directly,

v1' = (m1-m2)v1/(m1+m2) = 0 (since m1 = m2, so m1-m2 = 0)

v2' = 2*m1v1/(m1+m2) = 2*m1*v/2m1 (since m1=m2)

= v

ii)

Here, m2>>m1, so m1 can be ignored

v1' = (m1-m2)v1/(m1+m2) = (-m2)v/(m2) = -v

v2' = 2*m1v1/(m1+m2) = 2*m1v/(m2) = 2(m1/m2)v

iii)

Again:

v1' = (m1-m2)v1/(m1+m2)

Here, m2<<m1, so m2 can be ignored.

v1' = (m1)v/(m1) = v

For 2nd object:

v2' = 2*m1v1/(m1+m2) = 2*m1v/(m1) = 2v

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