1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
NNADVOKAT [17]
3 years ago
6

Consider an electron that is 10^-10 m from an alpha particle (q = +3.2 times 10^-19 C). (a) What is the electric field due to th

e alpha particle at the location of the electron? (b) What is the electric field due to the electron at the location of the alpha particle? (c) What is the electric force on the alpha particle? on the electron?
Physics
1 answer:
posledela3 years ago
8 0

Answer:

(a) <em>2.88×10¹¹ N/C.</em>

<em>(b) 1.442×10¹⁰ N/C</em>

<em>(c) 46.14×10⁻⁹ N</em>

Explanation:

<em>(a) Electric field due to alpha particle at the location of the electron</em>

<em>E = Kq/r²....................... Equation 1</em>

<em>Where E = Electric field, q = charge of the alpha particle, K = proportionality constant, r = distance between the electron and the alpha particle.</em>

<em>Given: q = 3.2×10⁻¹⁹ C, r = 10⁻¹⁰ m.</em>

<em>Constant: K = 9×10⁹ Nm²/C²</em>

<em>Substituting into equation 1</em>

<em>E = 9×10⁹(3.2×10⁻¹⁹)/(10⁻¹⁰)²</em>

<em>E = 28.8×10⁻¹⁰/10⁻²⁰</em>

<em>E = 2.88×10¹¹ N/C.</em>

<em>(b) </em><em>Electric Field due to the electron at the location of the alpha particle</em>

<em>E₁ = Kq₁/r²............................... Equation 2</em>

<em>Where,</em>

<em>E₁ = Electric Field due to the electron at the location of the alpha particle.</em>

<em>q₁ = charge of an electron.</em>

<em>Given: r = 10⁻¹⁰ m</em>

<em>Constant: K = 9×10⁹ Nm²/C², q₁ = 1.602×10⁻¹⁹ C</em>

<em>Substituting into equation 2</em>

<em>E₁ = 9×10⁹×1.602×10⁻¹⁹/(10⁻¹⁰ )²</em>

<em>E₁ = 14.42×10⁻¹⁰/10⁻²⁰</em>

<em>E₁ = 14.42×10¹⁰ </em>

<em>E₁ = 1.442×10¹⁰ N/C.</em>

<em>(c) The electric force on the alpha particle and on the electron.</em>

<em>F = Kqq₁/r² ................................ Equation 3</em>

<em>Given: q = 3.2×10⁻¹⁹ C, r = 10⁻¹⁰ m, </em>

<em>Constant:  K = 9×10⁹ Nm²/C², q₁ = 1.602×10⁻¹⁹ C</em>

<em>Substituting these values into equation 3</em>

<em>F =9×10⁹( 3.2×10⁻¹⁹ )(1.602×10⁻¹⁹)/(10⁻¹⁰)²</em>

<em>F = 46.14×10⁻²⁹/10⁻²⁰</em>

<em>F = 46.14×10⁻⁹ N</em>

<em>Thus the electric force = 46.14×10⁻⁹ N</em>

<em />

You might be interested in
Which is a major threat to biodiversity? A. Red-billed oxpeckers eat ticks off of impalas' coats in the grasslands of East Afric
SIZIF [17.4K]
B. Mining in the Guinean Forests of West Africa to provide diamond and gold jewelry for humans.
4 0
3 years ago
What makes a substance, such as<br> aluminum, a good conductor?
spin [16.1K]

Answer:

For a material to be a good conductor, the electricity passed through it must be able to move the electrons; the more free electrons in a metal, the greater its conductivity.

8 0
3 years ago
A block of mass M is suspended from two identical springs of negligible mass, spring constant k, and unstretched length L. First
34kurt

Answer:

The answer is (C)X1=2X2

Explanation:

8 0
3 years ago
1. After a rabbit population reaches the carrying capacity of its habitat, what will most likely happen to
kifflom [539]
C) alternately increase and decrease
6 0
3 years ago
A 4 kg block slides down a rough inclined plane inclined at 30° 179009.GIF with the horizontal. Determine the coefficient of kin
mrs_skeptik [129]
F=ma
F= 4x1.2
F= 4.8 N

F= 4gsin30 - Friction
Friction= 19.6 - 4.8 N
Friction= 14.8 N

Friction= u x 4gcos30
14.8 / 4gcos30 = u
u= 0.43596...
u= 0.44

coefficient is 0.44
5 0
3 years ago
Other questions:
  • Why is soft iron used for the core of an electromagnet?
    12·2 answers
  • 1. Can someone help me with this? :) Which object is made of frozen gas, ice, and dust that orbits in the outermost reaches of t
    15·1 answer
  • A 12,000-N car is raised using a hydraulic lift, which consists of a U-tube with arms of unequal areas, filled with incompressib
    8·1 answer
  • Explain a compression and a refraction of a sound wave traveling though the air
    5·1 answer
  • Are Roots or Plant Making Cracks in The Concrete Chemical or Weathering?
    9·1 answer
  • A model rocket is launched straight upward with an initial speed of 57.0 m/s. It accelerates with a constant upward acceleration
    14·1 answer
  • Before beginning an exercise program a person should always
    6·1 answer
  • How to work out Initial volume Boyle’s law
    11·1 answer
  • What is mummification?
    8·2 answers
  • Infer whether a circuit breaker should be connected in parallel to the circuit that it is protecting.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!