An unstable nucleus of mass 1.70 x 10^-26 kg, initially at rest at the origin of

Question

An unstable nucleus of mass 1.70 x 10^-26 kg, initially at rest at the origin of a coordinate system, disintegrates into three particles. One particle, having a mass of m1 = 5.30 x 10^-27 kg moves in the positive y-direction with speed v1 = 6.8 0x 10^6 m/s. Another particle, of mass m2 = 8.40 x 10^-27 kg moves in the positive x-direction with speed v2 = 3.60 x 10^ 6 m/s. Find the velocity of the third particle. (Assume that mass is conserved in this process. Indicate the direction with the sign of your answer.)

x - component (         ) m/s

y - component (          ) m/s

Explanation / Answer

Applying momentum conservation,

initial = final momentum

0 = (5.30 x 10^-27)(6.80 x 10^6 j) + (8.40 x 10^-27)(3.60 x 10^6i) + ( (17 - 5.30 - 8.40) x 10^-27)v3

v3 = - 9.19 x 10^6 i - 10.9 x 10^6 j

x - compo = - 9.19 x 10^6 m/s

y - compo = -10.9 x 10^6 m/s

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