007 10.0 points Two alpha particles (helium nuclei), each consisting of two prot
ID: 1520806 • Letter: 0
Question
007 10.0 points Two alpha particles (helium nuclei), each consisting of two protons and two neu- trons, have an electrical potential energy of 6.49×1019 J. What is the distance between these par- ticles at this time? The Coulomb constant is 8.98755 × 109 N · m2/C2, the elemental charge is 1.6021 × 1019 C, and the eration due to gravity is 9.8 m/s2. Answer in units of m. accel- 007 10.0 points Two alpha particles (helium nuclei), each consisting of two protons and two neu- trons, have an electrical potential energy of 6.49×1019 J. What is the distance between these par- ticles at this time? The Coulomb constant is 8.98755 × 109 N · m2/C2, the elemental charge is 1.6021 × 1019 C, and the eration due to gravity is 9.8 m/s2. Answer in units of m. accel- 007 10.0 points Two alpha particles (helium nuclei), each consisting of two protons and two neu- trons, have an electrical potential energy of 6.49×1019 J. What is the distance between these par- ticles at this time? The Coulomb constant is 8.98755 × 109 N · m2/C2, the elemental charge is 1.6021 × 1019 C, and the eration due to gravity is 9.8 m/s2. Answer in units of m. accel-Explanation / Answer
here
Uelectric = 6.25 * 10^-19 J
Ke = 8.98755 * 10^9 Nm^2 / C^2
q(proton) = 1.6021 * 10^-19 C
q(alpha) = 2 * q(proton) = 3.2042 * 10^-19 C
qn = 0C
q1 = q2 = 2 * q(proton) + 2 * qn
= 2 * 1.6021 * 10^-19 + 2 * 0
= 3.2042 * 10^-19C
then by using the formula
Uelectric = Ke * q1 * q2 / r
r = Ke * q1 * q2 / Uelectric
= Ke * q1^2 / Uelectric
= (8.98755 * 10^9 * (3.2042 * 10^-19)^2) / (6.49 * 10^-19)
= 1.42179 * 10^-9 m
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