A big particle of mass (3+m) kg blasts into 3 pieces , such that a particle of mass 1 kg moves along x - axis , with velocity `2ms^(-1)` and a particle of mass 2 kg moves with velocity `1ms^(-1)` perpendicular to direction of 1 kg particle . If the third particle moves with velocity `sqrt(2) ms ^(-1)`, then m is

Answer

2

Explanation

Resultant momentum `=sqrt((2)^(2)+(2)^(2))=2sqrt(2)`
Mass `=("Momentum")/("Velocity")=(2sqrt(2))/(sqrt(2))=2kg`