Ball A moving along a straight line at 2 m/s collides elastically with ball B of same mass moving at -3 m/s. What is the velocity of the balls A and B after collision?

Question

anonymous · Answer

mass= force times acceleration

anonymous · Answer

you need conservation of momentum and conservation of kinetic energy equations.
Let $v_{A1}$ be initial velocity for ball A,  $v_{A2}$ be final velocity for ball 2,  $v_{B1}$ be initial velocity for ball B, and  $v_{B2}$ be final velocity for Ball B

Momentum Conservation (P = mv, momentum = mass * velocity)
$$P_1=P_2$$
$$mv_{A1}+mv_{B1}=mv_{A2}+mv_{B2}$$
All the masses are the same so they cancel
$$v_{A1}+v_{B1}=v_{A2}+v_{B2}$$
Plug in numbers for $v_{A1}$ and $v_{B1}$
$$2-3=v_{A2}+v_{B2}$$
$$-1=v_{A2}+v_{B2}$$

KE = ½mv²
Do more or less the same thing to create a conservation of kinetic energy equation

anonymous · Answer

dame idk

anonymous · Answer

how about this way since it's multiple choice
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