Question

A system consisting of two objects has a total momentúm of (18 kgm/sec)i and its center of mass has the velocity of (3m/s)i .One of the object has the mass 4kg and velocity (1.5m/s)i . The mass and velocity of the other objects are​

Answer 1

Explanation:

SolutionTotal momentum=(18 kgm/sec)i

velocity of Center of mass=(3 m/s)i.

Mass of one object=4 kg

Velocity of this object=(1.5 m/s)i

let m be the mass of other object

And v be the velocity

Now we know total momentum =Total massX velocity of center of mass

(18 kgm/sec)i=(m+4)(3 m/s)i.

or m=2 kg

Now Vcm=(m1v1+m2v2)/(m1+m2)

or

3i=(4*1.5i + 2v)/6

or 18i=6i+2v

v=6i m/sec

hence a is correct