A 0.155kg glider is moving to the right on a frictionless, horizontal air track

Question

A 0.155kg glider is moving to the right on a frictionless, horizontal air track with a speed of 0.880m/s . It has a head-on collision with a 0.292kg glider that is moving to the left with a speed of 2.27m/s . Suppose the collision is elastic.

Part A

Find the magnitude of the final velocity of the 0.155kg glider.

Part B

Find the direction of the final velocity of the 0.155kg glider.

Find the direction of the final velocity of the 0.155 glider.

Part C

Find the magnitude of the final velocity of the 0.292kg glider.

Part D

Find the direction of the final velocity of the 0.292kg glider.

Find the direction of the final velocity of the 0.292 glider.

Explanation / Answer

here,

m1 = 0.155, u1 = 0.88 m/s

m2 = 0.292 grams, u2 = -2.27 m/s

let v1 and v2 are the speed of m1, m2 after the collsion.

A) velocity of m1,
v1 = (m1-m2)*u1/(m1+m2) + 2*m2*u2/(m1+m2)

= (0.155-0.292)*0.88/(0.155+0.292) + 2*0.292*(-2.27)/(0.155+0.292)

= -3.24 m/s

|V1| = 3.24 m/s

B) to the left

C)
velocity of m2,
v2 = (m2-m1)*u2/(m1+m2) + 2*m1*u1/(m1+m2)

= (0.292-0.155)*(-2.27)/(0.155+0.292) + 2*0.155*0.88/(0.155+0.292)

= -0.085 m/s

|V2| = 0.085 m/s

D) to the left

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