Question #1a6bb

1 Answer
Jul 19, 2017

Answer:

Relation is great.

Explanation:

Suppose,a particle of mass #m_1# moving with a velocity of #u_1# collides with a particle of mass#m_2# moving with a velocity #u_2#.
After collision the speed of the mass #m_1# and#m_2# are respectively #v_1# and #v_2#.

Let,the #m_1# particle pushes the other with the force#F_(1->2)# and the #m_2# particle on #m_1# is #F_(2->1#.
According to Newton's third law,
#F_(1->2)=-F_(2->1)#
As we know impulse of force is equal to change of momentum ,so we can write
#F_(1->2)=m_1u_1-m_1v_1#
#F_(2->1)=m_2u_2-m_2v_2#
Solving all equations,
#m_1u_1-m_1v_1=-m_2u_2+m_2v_2#
#=>m_1u_1+m_2u_2=m_1v_1+m_2v_2#
That's the all.