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
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