Taking the x axis to be the original direction of motion of ball A. write down t

Question

Taking the x 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 vbi . Express your answer symbolically in terms of the variables m_A, m_B,v_A, Vai , v_b1 . theta_A, and Billiard ball A of mass m_A = 0.130 kg moving with speed v_A = 2.85 m/s strikes ball B, initially at rest, of mass m_ß = 0.145 kg . As a result of the collision, ball A is deflected off at an angle of 31.5 with a speed v_Ai =2.10 m/s . 9b- 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 m_A, m_B,v_A, v_A1, v_b1 , theta_A, and theta_b

Explanation / Answer

Part A (momentum conservation in x direction)

mA vA = mA vA1 cos thetaA + mB vB1 cos thetaB

=> 0 = mA vA - mA vA1 cos thetaA - mB vB1 cos thetaB

Part B (momentum conservation in y direction)

0 = mA vA1 sin thetaA - mB vB1 sin thetaB

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