Lesson: Rutherford Scattering High School Physics

Physics

In this lesson, we will learn how to calculate the distance of closest approach between two charged objects by considering energy conservation.

Worksheet: 11 Questions

Q1:

A proton is fired with an initial speed of 150 m/s directly toward a fully ionized lithium nucleus that is stationary and cannot move. What is the distance of closest approach of the proton to the lithium nucleus? Use a value of 1.67×10 kg for the mass of the proton. Give your answer to 3 significant figures.

Q2:

An alpha particle is fired with an initial speed of 300 m/s directly toward a fully ionized gold nucleus that is stationary and cannot move. What is the distance of closest approach of the alpha particle to the gold nucleus? The initial potential energy of the alpha particle is negligible. Use a value of 6.64×10 kg for the mass of the alpha particle. Give your answer to 3 significant figures.

Q3:

A proton is fired with an initial speed of 100 m/s directly toward another proton that is stationary and cannot move.

What is the initial kinetic energy of the first proton? Use a value of 1.67×10 kg for the mass of a proton. Give your answer to 3 significant figures.

What is the distance of the closest approach of the first proton to the second? Give your answer to 3 significant figures.
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