An unstable atomic nucleus of mass 1.96 times10^-26 kg initially at rest disinte

Question

An unstable atomic nucleus of mass 1.96 times10^-26 kg initially at rest disintegrates into three particles. One of the particles, of mass 5.00 times 10^-27 kg, move; along the y axis with a velocity of 6.00 times 10^6 m/s Another particle, of mass 8 40 times 10^-27 kg, moves along the x axis with a speed of 4.00 times 10^6 m/s. Find the following. the velocity of the third particle Your response differs from the correct answer by more than 10%. Double check your calculations. i + Your response differs from the correct answer by more than 10%. Double check your calculations. j) m/s the total kinetic energy increase in the process) J

Explanation / Answer

Conserving momentum:

5*10^-27*(6*10^6 j ) + 8*10^-27*(4*10^6 i ) + (19.6 - 8.4 - 5)*10^-27*(v) = 0

So, 5*6 j + 8*4 i + 6.2*10^-6*v =

So, v = (32 i + 30 j)/(6.2*10^-6) = 5.2*10^6 i + 4.8*10^6 j <---------answer

b)

Total KE = 0.5*(5*10^-27)*(6*10^6)^2 + 0.5*(8.4*10^-27)*(4*10^6)^2 + 0.5*(6.2*10^-27)*(5.2^2 4.8^2)*10^12

= 3.12*10^-13 J <-------answer

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.