Question

a body of mass 1 kg moving in the x-direction suddenly explodes into two fragments of mass ⅛ kg and ⅞ kg. An instant later, the smaller fragment is 0.14m above the x-axis. the position of the heavier fragments is -
(1) 1/50 m above the x axis
(2) 1/50 m below the x-axis
(3) 7/50 m below the x-axis
(4) 7/50 m above the x axis

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Answer 1

Answer:

The correct option is (2): The position of heavier fragment is 1/50 m below x axis.

Explanation:

As we know that the mass of the fragments is 1/8 kg and 7/8 kg.

Then the Position of center of mass remains unchanged because the internal forces are zero.

So, x coordinate will be 0.

0 = 0.14 x 1/8 + x x 7/8

x = -1/50 m

Thus the position of heavier fragment is 1/50 m below x axis.