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Q.

A body of mass M at rest explodes into three pieces, two of which of mass M /4 each are thrown off in perpendicular directions with velocities of 3 ms-1 and 4 ms-1, respectively. The third piece will bethrown off with a velocity of

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a

1.5 ms-1

b

2 ms-1

c

2.5 ms-1

d

3 ms-1

answer is C.

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Detailed Solution

Momentum of one piece  =M4×3Momentum of second piece  =M4×4∴  Resultant momentum =9M216+M2=5M4The third piece should also have the same momentum. Let its veIocity be ν, then 5M4=M2×v⇒v=52=2.5 ms-1
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A body of mass M at rest explodes into three pieces, two of which of mass M /4 each are thrown off in perpendicular directions with velocities of 3 ms-1 and 4 ms-1, respectively. The third piece will bethrown off with a velocity of