A big particle of mass 3 + m k g blasts into 3 pieces, such that a particle of mass 1 k g moves along x -axis, with velocity 2 m s - 1 and a particle of mass 2 k g moves with velocity 1 m s - 1 perpendicular to direction of 1 k g particle. If the third particle moves with velocity 2 m s - 1 , then m is

Question

A big particle of mass 3 + m k g blasts into 3 pieces, such that a particle of mass 1 k g moves along x -axis, with velocity 2 m s - 1 and a particle of mass 2 k g moves with velocity 1 m s - 1 perpendicular to direction of 1 k g particle. If the third particle moves with velocity 2 m s - 1 , then m is, 2 k g, 1 k g, 2 2 k g, none of these

MARKS App · Accepted Answer

conservation of linear momentum 0 = 1 × 2 i ^ + 2 × 1 j ^ + m v → ⇒ m v → = - 2 i ^ - 2 j ^ ⇒ m v = 2 2 ⇒ m 2 = 2 2 m = 2 k g

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