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An evil doer has stolen the unstable atomic nuclear mass (17.0 x 10^-27 kg) from the...

An evil doer has stolen the unstable atomic nuclear mass (17.0 x 10^-27 kg) from the unstable nuclear mass facility. While waiting at a stop light the unthinkable happens (actually quite expected and predictable up to a probability) and the mass disintegrates into three particles. One of the particles, of mass 5.00 x 10^-27 kg, moves in the y-direction with a speed of 6.00 x 10^6 m/s. Another particle, of mass 8.40 x 10^-27 kg, moves in the x-direction with a speed of 4.00 x 10^6 m/s.

(a) Find the magnitude and direction of the velocity of the third particle.

(b) If the evil doer had been driving with a speed of 30 m/s when the disintegration occurred, how would this have changed your answer to part (a)? Use an Order of Magnitude sense-making argument to help with this analysis.

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