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
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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
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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