Q: 2 & 3? The nucleus of ^8 Be, which consists of 4 protons and 4 protons, is ve
ID: 1633392 • Letter: Q
Question
Q: 2 & 3? The nucleus of ^8 Be, which consists of 4 protons and 4 protons, is very unstable and spontaneously breaks into two alpha particles (helium nuclei, each consisting of 2 protons and 2 neutrons). (a) What is the force between the two alpha particles when they are 5.50 time 10^-15 (b) What is the initial magnitude of the acceleration of the alpha particles due to this force? A molecules of DNA (deoxyribonucleic acid) is 2.27 mu m long. The ends of the molecule become singly ionized: negative on one end, positive on the other. The helical molecule acts like a spring and compresses 1.01% upon becoming charged. Determine the effective spring constant of the molecule.Explanation / Answer
2 . (A) F = kq1 q2 / r^2
F = (9 x 10^9) (2 x 1.6 x 10^-19)^2 / (5.50 x 10^-15)^2
F = 30.5 N
(b) a = F / m
a = (30.5) / (4.0026 x 1.66 x 10^-27)
a = 4.59 x 10^27 m/s^2
3. F = k q^2 / L^2
F = (9 x 10^9) (1.6 x 10^-19)^2 / (2.27 x 10^-6)^2
F = 4.47 x 10^-16 N
and F = k x
x = 1.01 L / 100 = 0.0101 L = 2.2927 x 10^-8 m
4.47 x 10^-15 = k (2.927 x 10^-8)
k = 1.95 x 10^-7 N/m
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