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An object flying in air with velocity (20i^+25j^-12k^)suddenly breaks into two pieces whose masses are in the ratio 1 : 5. The smaller mass flies off with a velocity (100i^+35j^+8k^). The velocity of the larger piece will be,

a
-20i^-15j^-80k^
b
4i^+23j^-16k^
c
-100i^-35j^-8k^
d
20i^+15j^-80k^

detailed solution

Correct option is B

By conservation of linear momentumP→i=P→fmv→i=m6v→1+5 m6v→2v→i=v→16+56v→2 20i^+25j^-12k^=(100i^+35j^+8k^)6+5v→26 120i^+150j^-72k^=100i^+35j^+8k^+5v→2 20i^+115j^-60k^=5v→2 v→2=20i^+115j^-80k^5 v→2=4i^+23j^-16k^

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