5:38 LTE Problem 9.54 Billiard ball A of mass mA 0.130 kg moving with speed A 2.

Question

5:38 LTE Problem 9.54 Billiard ball A of mass mA 0.130 kg moving with speed A 2.50 m/s strikes ball B, initially at rest, of mass mB 0.145 kg As a result of the collision, ball A is deflected off at an angle of 32.5 with a speed vA 205 m/s Part A Taking the z axis to be the original direction of motion of ball A, write down the equation expressing the conservation of momentum for the components in the x direction. Assume the velocity of ball B after collision is UBI Express your answer symbolically in terms of the variables mA , mB, UA , UAI, UBI , ?? , and Submit Part B Write down the equation expressing the conservation of momentum for the components in the y direction. Express your answer symbolically in terms of the variables mA, mB, vA,vAI, UBi, 0, and Submit Request Answer

Explanation / Answer

(b)

Apply conservation of momentum along x axis

pi= pf

mA vA= mA vA1 cos thetaA + mB vB1 cos theta B

(b)

Apply conservation of momentum along y axis

since initally there is no y component velocity initial momentum is zero

pi = pf

0 = ma vA1 sin theta A - mB vB1 sin thetaB

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