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Q.

A body of mass M at rest explode into three pieces, in the ratio of masses 1:1:2. Two smaller pieces fly off perpendicular to each other with velocities of 30 ms-1 and 40 ms-1 respectively. The velocity of the third piece will be:

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a

15 ms-1

b

35 ms-1

c

25 ms-1

d

50 ms-1

answer is B.

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Detailed Solution

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Law of conservation of momentum

Pi =Pf 0=m30i^+40j^+2mv V=-15i^-20j^ V=225+400=25m/s

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