1. Two electrons are separated by an extremely large distance. They approach each other with initial speeds of 3.51 x 106 m/s each. Calculate the separation between the electrons when they are closest to each other. [A5] 2. Ernest Rutherford used alpha particles (charge +2e) and thin gold foil to probe the structure of the atom. Given that the nucleus of a gold atom has 79 protons, calculate the electrostatic repulsive force between the alpha particle and the gold nucleus when the separation distance between the two is 6.2 x 10-¹4 m. [A4] 3. Two protons start at rest with a separation of 6.8 x 10-¹1 m. Once released, the protons accelerate away from each other. Calculate the speed of each protons when they are a very large distance apart. [A5]
1. Two electrons are separated by an extremely large distance. They approach each other with initial speeds of 3.51 x 106 m/s each. Calculate the separation between the electrons when they are closest to each other. [A5] 2. Ernest Rutherford used alpha particles (charge +2e) and thin gold foil to probe the structure of the atom. Given that the nucleus of a gold atom has 79 protons, calculate the electrostatic repulsive force between the alpha particle and the gold nucleus when the separation distance between the two is 6.2 x 10-¹4 m. [A4] 3. Two protons start at rest with a separation of 6.8 x 10-¹1 m. Once released, the protons accelerate away from each other. Calculate the speed of each protons when they are a very large distance apart. [A5]
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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![1. Two electrons are separated by an extremely large distance. They approach each other with initial speeds of
3.51 x 10 m/s each. Calculate the separation between the electrons when they are closest to each other.
[A5]
2. Ernest Rutherford used alpha particles (charge +2e) and thin gold foil to probe the structure of the atom.
Given that the nucleus of a gold atom has 79 protons, calculate the electrostatic repulsive force between the
alpha particle and the gold nucleus when the separation distance between the two is 6.2 x 10-¹4 m. [A4]
3. Two protons start at rest with a separation of 6.8 x 10-11 m. Once released, the protons accelerate away from
each other. Calculate the speed of each protons when they are a very large distance apart. [A5]
4. Four parallel plates are connected in a vacuum as shown below. A proton at rest in the hole of plate A is
accelerated to the right. The proton passes through the holes at B and C with no acceleration at all. It then
passes through the hole at C and slows down as it heads to plate D.
4.0 cm
4.0 cm
4.0 cm
A
C
D
5.2 X 10² V
3.1 X 10³ V
a) Calculate the speed of the proton at the hole B. [T4]
b) Calculate the distance (in centimetres), how far the proton would be when it changes directions. State
the direction with respect to plate D. [T4]
5. An oil droplet is sprayed into a uniform electric field of adjustable magnitude. The 0.04 g droplet hovers
motionless (Fnet = Fg - FE = 0) when the electric field is set to 370 N/C and directed downwards.
a. Determine the sign and magnitude of the charge on the oil droplet. [T4]
b. Determine the approximate number of excess electrons that are on the oil droplet. [T2]
B](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbeeeba47-a8f8-499d-a494-b8f90592d45d%2F888849bb-3ce6-48c1-a26e-b2bc21fdae48%2Fmtq0p9k_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1. Two electrons are separated by an extremely large distance. They approach each other with initial speeds of
3.51 x 10 m/s each. Calculate the separation between the electrons when they are closest to each other.
[A5]
2. Ernest Rutherford used alpha particles (charge +2e) and thin gold foil to probe the structure of the atom.
Given that the nucleus of a gold atom has 79 protons, calculate the electrostatic repulsive force between the
alpha particle and the gold nucleus when the separation distance between the two is 6.2 x 10-¹4 m. [A4]
3. Two protons start at rest with a separation of 6.8 x 10-11 m. Once released, the protons accelerate away from
each other. Calculate the speed of each protons when they are a very large distance apart. [A5]
4. Four parallel plates are connected in a vacuum as shown below. A proton at rest in the hole of plate A is
accelerated to the right. The proton passes through the holes at B and C with no acceleration at all. It then
passes through the hole at C and slows down as it heads to plate D.
4.0 cm
4.0 cm
4.0 cm
A
C
D
5.2 X 10² V
3.1 X 10³ V
a) Calculate the speed of the proton at the hole B. [T4]
b) Calculate the distance (in centimetres), how far the proton would be when it changes directions. State
the direction with respect to plate D. [T4]
5. An oil droplet is sprayed into a uniform electric field of adjustable magnitude. The 0.04 g droplet hovers
motionless (Fnet = Fg - FE = 0) when the electric field is set to 370 N/C and directed downwards.
a. Determine the sign and magnitude of the charge on the oil droplet. [T4]
b. Determine the approximate number of excess electrons that are on the oil droplet. [T2]
B
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