Chapter 4: Q3E (page 777)

Energy of the Nucleus. How much work is needed to assemble an atomic nucleus containing three protons (such as Li) if we model it as an equilateral triangle of side $2.00 \times 10^{- 15} m$ with a proton at each vertex? Assume the protons started from very far away.

Short Answer

Expert verified

The amount of work done for assemble three protons is2.16 MeV

Step by step solution

Determine the formula for the work done to assemble the three charges.

Consider the expression for the work done:

$U = \frac{q_{0}}{4 {ττε}_{0}} \sum_{} \frac{q_{i}}{r_{i}}$

Here, $q_{0} = + e$ for three protons and r will be same for three.

Rewrite the expression as:

$U = (\frac{+ e}{4 {πε}_{0}}) (\frac{+ 3 e}{r}) U = \frac{1}{4 {πε}_{0}} (\frac{+ 3 e^{2}}{r})$ ….. (1)

Determine the work done for assemble three protons

Substitute $9.0 \times 10^{9} \frac{{Nm}^{2}}{C^{2}}$ for $\frac{1}{4 {πε}_{0}}$ , $1.6 \times 10^{- 19} C$ for e, $2.00 \times 10^{- 15} m$ for rin the equation (1) to determine the word done.

$U = (9.0 \times 10^{9} \frac{{Nm}^{2}}{C^{2}}) (\frac{3 (1.6 \times 10^{- 19} C)}{(2.00 \times 10^{- 15} m)}) U = 3.46 \times 10^{- 13} J U = \frac{3.46 \times 10^{- 13} J}{1.6 \times 10^{- 19} C} U = 2.16 MeV$

Hence, the amount of work done for assemble three protons is 2.16 MeV

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Energy of the Nucleus. How much work is needed to assemble an atomic nucleus containing three protons (such as Li) if we model it as an equilateral triangle of side $2.00 \times 10^{- 15} m$ with a proton at each vertex? Assume the protons started from very far away.

Short Answer

Step by step solution

Determine the formula for the work done to assemble the three charges.

Determine the work done for assemble three protons

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Energy of the Nucleus. How much work is needed to assemble an atomic nucleus containing three protons (such as Li) if we model it as an equilateral triangle of side2.00×10-15mwith a proton at each vertex? Assume the protons started from very far away.

Short Answer

Step by step solution

Determine the formula for the work done to assemble the three charges.

Determine the work done for assemble three protons

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Magnetism and Electromagnetic Induction

Fields in Physics

Scientific Method Physics

Particle Model of Matter

Astrophysics

Measurements

Study anywhere. Anytime. Across all devices.

Energy of the Nucleus. How much work is needed to assemble an atomic nucleus containing three protons (such as Li) if we model it as an equilateral triangle of side $2.00 \times 10^{- 15} m$ with a proton at each vertex? Assume the protons started from very far away.