Question

two objects mass 10kg And 20kg moving in Same line And Same direction with velocities of 20m/s And 10m/s respectively. They Collide And after collision the first object velocity is 10m/s. Determine the velocity of second object​

Answer 1

Answer:

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Explanation:

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Answer 2

Answer:

Two objects of mass 10kg & 15kg are moving with velocities 12m/s & 8m/s. They collide & after collision, the second object moves with a velocity of 6m/s, then the velocity of the first object is​ $12m/s$

Explanation:

• Momentum is conserved in every collision, that is after and before momentum should be the same

• When an object with masses $m_{1}$ with velocity $u_{1}$ and another object with mass $m_{2}$ and velocity $u_{2}$ collide with each other, after the collision the first object moves with velocity $v_{1}$ and the second one moves with velocity $v_{2}$,

• momentum before the collision is

        $m_{1} u_{1} +m_{2} u_{2}$

• momentum after collision is

        $m_{1} v_{1} +m_{2} v_{2}$

• then according to the momentum conservation

        $m_{1} u_{1} +m_{2} u_{2}=m_{1} v_{1} +m_{2} v_{2}$

From the question, we have

$m_{1} =10kg$

$m_{2} =15kg$

$u_{1} =12m/s$

$u_{2} =8m/s$

$v_{1} =6m/s$

put the values to get the velocity of the second object after the collision

$10*12+15*8=10*6+15*v_{1}$

⇒

$180=15v_{1} \\v_{1}=180/15=12m/s$