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An unstable nucleus of mass 1.7 ✕ 10−26 kg, initially at rest at the origin of...

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Physics

An unstable nucleus of mass 1.7 ✕ 10−26 kg, initiallyat rest at the origin of a coordinate system, disintegrates intothree particles. One particle, having a mass of

m1 = 1.8 ✕ 10−27 kg,

moves in the positive y-direction with speed

v1 = 5.4 ✕ 106 m/s.

Another particle, of mass

m2 = 8.0 ✕ 10−27 kg,

moves in the positive x-direction with speed

v2 = 3.2 ✕ 106 m/s.

Find the magnitude and direction of the velocity of the thirdparticle. (Assume that the +x-axis is to the right and the+y-axis is up along the page.)

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