Collision in Spring-mass System-1!

Classical Mechanics Level 3

Two bodies $A$ and $B$ of mass $m$ and $2m$ respectively are placed on a smooth floor. They are connected by a spring of negligible mass. A third body $C$ of mass $m$ is placed on the floor. The body $C$ moves with a velocity $v_0$ along the line joining $A$ and $B$ and collides elastically with $A$ . At a certain time after the collision it is found that the instantaneous velocities of $A$ and $B$ are same and the compression of the spring is $x_0$ . The spring constant $k$ will be :

\large \frac{mv_0}{2x_0}

\large m (\frac{v_0}{x_0})^2

\large \frac{2}{3} m (\frac{v_0}{x_0})^2

\large \frac{2mv_0}{x_0}

None of These

2 solutions

Nishant Rai
May 27, 2015

Note: Since the colliding bodies $C$ & $A$ are of the same mass $m$ , and they collide elastically, so their velocities after collision are exchanged.

Please explain the conservation on energy equatiom in brief.... I didn't get that!!😢

Akhil Bansal - 5 years, 9 months ago

Kyle Finch
May 27, 2015

Using conservation of momentum.

$mv_{o}=3mv$ where v is instantaneous velocity.

Using conservation of energy

$0.5mv_{o}^{2}=0.5\times 3mv^2 +0.5kx_{o}^2$

Did i do correctly @Nishant Rai

Kyle Finch - 6 years ago

yes, but please do write how you got those 2 equations, i mean by using COLM and COE.

@Kyle Finch

Nishant Rai - 6 years ago

Can u post the solution for the elctric field one u recently posted

Kyle Finch - 6 years ago

@Kyle Finch – check it out.

@Kyle Finch

Nishant Rai - 6 years ago

Collision in Spring-mass System-1!

2 solutions

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