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An insulated particle of mass m is moving in a horizontal plane (x-y) along the X-axis. At a certain height above the ground, it suddenly explodes into two fragments of masses m/4 and 3m/4.An instant later, the smaller fragment is at Y= +15 cm. The larger fragment at this instant is at:

a
Y = -5 cm
b
Y= +20 cm
c
Y= +5 cm
d
Y=-20 cm

detailed solution

Correct option is A

Initially y-coordinate of center of mass is zero. After explosion y-coordinate of center of mass of the particles should be zero. ⇒ycm=0 ⇒m4×(15)+34m(Y)=0 ⇒Y=−5cm

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