two object of mass 300 gram and 700 gram versus velocity 15i vector metre per second and 4i + 6j vector metre per second respectively the velocity of the centre of mass in metre per second is
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Centre of mass is the point where entire mass is concentrated ( or at least believed to be)
If m1, m2 are masses, and v1, v2 are velocities then
Velocity of center of mass = m1v1 + m2v2 / m1 + m2
This expression can be extended to many number of masses and velocities too.
Given Masses = 0.2kg , 0.5kg.
Velocities = 10i, 3i + 5j m/s
The Velocity of centre of mass = 0.2(10i)+ 0.5(3i+5j) / 0.2+0.5
= 2i + 1.5 i + 2.5j / 0.7
= 3.5i+2.5j/0.7
=35i+25j/7
=( 5i + 25/7 j ) m/s .
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