Escape velocity of an electron

The correct formula is u = kqq/r, and when solved for v, it should be v = \sqrt{}2kq/rm. When using the given values, the correct answer should be 1.47 * 10^7 m/s.
  • #1
kmikias
73
0
[tex]\sqrt{}[/tex]

Homework Statement



What is the escape speed (in m/s) of an electron launched from the surface of a 7.42 cm diameter glass sphere that has been charged to 7.04 nC?

Homework Equations



u=kqq/r
KE=1/2MV^2
UO=KE

The Attempt at a Solution


here is what i did
kqq/r = 1/2mv^2
solve for v
v=[tex]\sqrt{}2kqq/rm[/tex]
i used q = 7.42 square
and mass of electron = 9.11*10^-31
and r = 0.0704/2
...but still my answer is wrong
 
Physics news on Phys.org
  • #2
kmikias said:
What is the escape speed (in m/s) of an electron launched from the surface of a 7.42 cm diameter glass sphere that has been charged to 7.04 nC?

kmikias said:

The Attempt at a Solution


here is what i did
kqq/r = 1/2mv^2
solve for v
v=[tex]\sqrt{}2kqq/rm[/tex]
i used q = 7.42 square
and mass of electron = 9.11*10^-31
and r = 0.0704/2
...but still my answer is wrong

I believe you have the value of the sphere's charge, and the diameter of the sphere interchanged.
 

1. What is escape velocity of an electron?

The escape velocity of an electron is the minimum speed that an electron must have in order to escape the gravitational pull of a massive object, such as a planet or star.

2. How is the escape velocity of an electron calculated?

The escape velocity of an electron is calculated using the formula v=sqrt(2GM/r), where G is the gravitational constant, M is the mass of the object, and r is the distance from the center of the object to the electron.

3. What is the escape velocity of an electron at sea level on Earth?

The escape velocity of an electron at sea level on Earth is approximately 11.2 km/s.

4. Can the escape velocity of an electron be exceeded?

Yes, the escape velocity of an electron can be exceeded if the electron receives a boost of energy from an external force, such as an electric field or a collision with another particle.

5. Why is the escape velocity of an electron important?

The escape velocity of an electron is important in understanding the behavior of particles in the presence of strong gravitational fields, such as those found in outer space. It also plays a role in the formation and dynamics of celestial bodies.

Similar threads

  • Introductory Physics Homework Help
Replies
7
Views
995
  • Introductory Physics Homework Help
Replies
2
Views
8K
  • Introductory Physics Homework Help
Replies
5
Views
996
  • Introductory Physics Homework Help
Replies
6
Views
2K
  • Introductory Physics Homework Help
Replies
3
Views
1K
  • Introductory Physics Homework Help
2
Replies
39
Views
3K
  • Introductory Physics Homework Help
Replies
4
Views
1K
Replies
2
Views
3K
  • Introductory Physics Homework Help
Replies
5
Views
2K
  • Introductory Physics Homework Help
Replies
5
Views
1K
Back
Top