Question

State and Derieve conservation of mass​

Answer 1

Answer:

Newton’s third law states that for a force applied by an object A on object B, object B exerts back an equal force in magnitude, but opposite in direction. This idea was used by Newton to derive the law of conservation of momentum.

Explanation

Consider two colliding particles A and B whose masses are m1 and m2 with initial and final velocities as u1 and v1 of A and u2 and v2 of B. The time of contact between two particles is given as t.

:

$\(A=m_{1}(v_{1}-u_{1})\) (change in momentum of particle A)\\\\\(B=m_{2}(v_{2}-u_{2})\) (change in momentum of particle B)\\\\\(F_{BA}=-F_{AB}\) (from third law of motion)\\\\\(F_{BA}=m_{2}*a_{2}=\frac{m_{2}(v_{2}-u_{2})}{t}\)\\\\\(F_{AB}=m_{1}*a_{1}=\frac{m_{1}(v_{1}-u_{1})}{t}\)\\\\\(\frac{m_{2}(v_{2}-u_{2})}{t}=\frac{-m_{1}(v_{1}-u_{1})}{t}\)\\\\\(m_{1}u_{1}+m_{2}u_{2}=m_{1}v_{1}+m_{2}v_{2}\)$

Answer 2

Answer:

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