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A stationary particle explodes into three fragments. Momentum of two fragments are  P1=4i^+3j^kgm/s  andP2=i^+j^kgm/s.  Then magnitude of momentum of the third particle is ______

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a
43  kg−m/s
b
5  kg−m/s
c
32  kg−m/s
d
65  kg−m/s

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detailed solution

Correct option is D

P→1  + P→2  + P→3  =0      ⇒  P→3  =  −3i^+4j^ kg−m/s∴    P3=32+42   kg−ms=5  kg−m/s

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