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An unstable nucleus of mass 17×10⁻²⁷ kg initially at rest disintegrates into three particles. One of...

An unstable nucleus of mass 17×10⁻²⁷ kg initially at rest disintegrates into three particles. One of the particles, of mass 5.0×10⁻²⁷ kg, moves along the y axis with a speed of 6000 km/s. Another particle of mass 8.4×10⁻²⁷ kg, moves along the x axis with a speed of 4000 km/s. Find (a) the velocity of the third particle and assuming the mass is conserved.

2.8x10⁷ m/s , θ = 260°

5.3x10⁷ m/s , θ = 240°

4.3x10⁷ m/s , θ = 233°

1.3x10⁷ m/s , θ = 222°

6.2x10⁷ m/s , θ = 200°

5.6x10⁷ m/s , θ = 250°

none of the above

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