pls solve a and b g previous | 6 of 8 | next Problem 9.48 Part A A 238 U nucleus

Question

pls solve a and b

g previous | 6 of 8 | next Problem 9.48 Part A A 238 U nucleus is moving in the r-direction at 4.0-105 m/s when it decays into an alpha particle ("He) and a 2Th nucleus. The alpha moves at 1 3x 107 m/s at 28" above the ·axis Find the speed of the thorium nucleus Express your answer using two significant figures. ? m/s Submit My Answers Give Up Part B Find the direction of the motion of the thorium nucleus Express your answer using two significant figures. on't w clockwise from the r-axis Submit My Answers Give UpP Continue

Explanation / Answer

Applying momentum conservation,

(238 x 4 x 10^5)i = (4)(1.3 x 10^7)(cos28i + sin28 j) + (234 v)(cos(theta)i - sin(theta)j )

along i direction,

238 x 4 x 10^5 = 4 x 1.3 x 10^7 x cos28 + 234 v cos(theta)

v (cos(theta)) = 2.11 x 10^5 ...........(i)

along j direction,

0 = 4 x 1.3 x 10^7 x sin28 - 234 v sin(theta)

v sin(theta) = 1.04 x 10^5 ..........(ii)

(ii) / (i) => tan(theta) = 0.494  

theta = 26.3 deg

putting in(i) , v = 2.35 x 10^5 m/s

Ans(A) 2.35 x 10^5 m/s

(B) theta = 26.3 deg  

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