A 0.146kg glider is moving to the right on a frictionless, horizontal air track

Question

A 0.146kg glider is moving to the right on a frictionless, horizontal air track with a speed of 0.710m/s. It has a head-on collision with a 0.308kg glider that is moving to the left with a speed of 2.27m/s. Suppose the collision is elastic.

(A)Find the magnitude of the final velocity of the 0.146kg glider

(B)Find the direction of the final velocity of the 0.146kg glider

(C)Find the magnitude of the final velocity of the 0.308kg glider.

(D)Find the direction of the final velocity of the 0.308kg glider.

Explanation / Answer

m1v1+m2v2=m1v1'+m2v2'
-.146*.71+.308*2.27=.146v1'+.308v2'--------------------1 conservation of momentum
conservation of KE
.146*.71^2+.308*2.27^2=.146v1'^2+.308*v2'^2 ------------------------2

solving 1 and 2

v1'=3.33m/s ,v2'=.35m/s

a)3.33m/s

b)left

c).35m/s

d)left

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