Physics, 14.03.2020 02:37 shahidcade2721
Billiard ball A of mass mA = 0.115 kg moving with speed vA = 2.80 m/s strikes ball B , initially at rest, of mass mB = 0.144 kg . As a result of the collision, ball A is deflected off at an angle of Īøā²A = 30.0ā with a speed vā²A = 2.10 m/s , and ball B moves with a speed vā²B at an angle of Īøā²B to original direction of motion of ball A.
Part A
Taking the x axis to be the original direction of motion of ball A , choose the correct equation expressing the conservation of momentum for the components in the x direction.
Taking the x axis to be the original direction of motion of ball A, choose the correct equation expressing the conservation of momentum for the components in the x direction.
0=mAvā²AsinĪøā²AāmBvā²BsinĪøā²B
mAvA=mAvā²AcosĪøā²A+mBvā²BcosĪøā²B
mAvA=mAvā²AcosĪøā²AāmBvā²BsinĪøā²B
0=(mAvA+mBvā²B)sinĪøā²B
Part B
Taking the x axis to be the original direction of motion of ball A , choose the correct equation expressing the conservation of momentum for the components in the y direction.
mAvA=mAvā²AcosĪøā²AāmBvā²BsinĪøā²B
0=(mAvA+mBvā²B)sinĪøā²B
0=mAvā²AsinĪøā²AāmBvā²BsinĪøā²B
mAvA=mAvā²AcosĪøā²A+mBvā²BcosĪøā²B
Part C
Solve these equations for the angle, Īøā²B , of ball B after the collision. Do not assume the collision is elastic.
Part D
Solve these equations for the speed, vā²B , of ball B after the collision. Do not assume the collision is elastic.
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