What is the significance of the algebraic sign of your answer? Positive work mus

Question

What is the significance of the algebraic sign of your answer? Positive work must be done to separate the charges. Negative work must be done to separate the charges. In Rutherford's famous scattering experiments that led to the planetary model of the atom. alpha particles (having charges of +2e and masses of 6.64 times 10^-7 kg) were fired toward a gold nucleus with charge + 79e An alpha particle, initially very far from the gold nucleus, is fired at 2.33 times 10^7 m/s directly toward the nucleus. as on the figure below. How close does the alpha pitied get to the gold nucleus before turning around? Assume the gold nucleus remains stationary. 2.02e-17 Your response is oft by a multiple of ten m

Explanation / Answer

Using energy conservation:

KEI + PEI = KEf + PEf

vf = 0

PEi = 0

0.5*m*vi^2 + 0 = 0 + kq1q2/d

So,

d = 2*k*q1*q2/(m*vi^2)

d = 2*9*10^9*2*79*(1.6*10^-19)^2/(6.64*10^-27*(2.33*10^7)^2)

d = 20.2*10^-15 m = 20.2e-15 m

Related Questions

Navigate

• Browse (All)
• Browse W
• Subjects

---

---

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