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anonymous
 one year ago
Sphere A has mass m and is moving with velocity v. It makes a headon elastic collision with a stationary sphere B of mass 2m. After the collision their speeds (vA and vB) are:
anonymous
 one year ago
Sphere A has mass m and is moving with velocity v. It makes a headon elastic collision with a stationary sphere B of mass 2m. After the collision their speeds (vA and vB) are:

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Conserve momentum and also energy. Initial total momentum and energy would be mv and 0.5mv^2 Final total momentum and energy would be mvA + 2mvB and 0.5mvA^2+ 0.5(2m)vB^2

Abhisar
 one year ago
Best ResponseYou've already chosen the best response.1Hint: \(\sf V_B = \Large \frac{2M_1V}{M_1+M_2}\)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@mashy and @abhisar it would be very kind of you to lead me to the conclusion and get me the final answer....

IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.0step 1 formally write out the equation for conservation of momentum as it applies here do that and we can go to step 2

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.1since we have an elastic collision, and such collision happen along a horizontal line, then we have to apply the conservation of momentum (our mechanical system is isolated) and the conservation of kinetic energy ( there is no potential energy of interaction), so we can write this: \[\large \left\{ \begin{gathered} mv = m{u_1} + \left( {2m} \right){u_2}\quad \left( {{\text{conservation of momentum}}} \right) \hfill \\ \hfill \\ \frac{{m{v^2}}}{2} = \frac{{mu_1^2}}{2} + \frac{{\left( {2m} \right)u_2^2}}{2}\quad \left( {{\text{conservation of kinetic energy}}} \right) \hfill \\ \end{gathered} \right.\] where \( \large u_1, \; u_2 \) are the speed after collision, and \( \large v \) is the speed of the sphere \( \large A \) before collision. Please solve that system for \( \large u_1, \; u_2\)
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