Calculate Energy of System: Electron Gun, KE, Force, Acceleration, Time

In summary, an electron gun in an electron microscope has two charged metallic plates that are 3.05 cm apart. The electric force between the plates accelerates each electron from rest to 9.70% of the speed of light over this distance. The kinetic energy of the electron leaving the electron gun is 3.8516E-16 J. The magnitude of the constant electric force acting on the electron is unknown. The acceleration of the electron is unknown. The time interval the electron spends between the plates is unknown. The only known equation is KE = 0.5mv^2.
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Homework Statement


In an electron microscope, there is an electron gun that contains two charged metallic plates 3.05 cm apart. An electric force accelerates each electron in the beam from rest to 9.70% of the speed of light over this distance. (Ignore the effects of relativity in your calculations.)

(a) Determine the kinetic energy of the electron as it leaves the electron gun. Electrons carry this energy to a phosphorescent viewing screen where the microscope's image is formed, making it glow.
J

(b) For an electron passing between the plates in the electron gun, determine the magnitude of the constant electric force acting on the electron.
N

(c) Determine the acceleration of the electron.
m/s2

(d) Determine the time interval the electron spends between the plates.
s


Homework Equations


So far only KE=.5mv^2


The Attempt at a Solution



A) KE=.5mv^2

Where m = mass of the electron...9.10938215E-31kg
and V = 9.7% of the speed of light...29079868.43
KE=3.8516E-16

Is that correct for A?

Second I'm a bit lost on where to go from here. I know it has to do with the length in meters (.0305m). Can anyone help please?
 
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  • #2
Figured it out. :)
 

Related to Calculate Energy of System: Electron Gun, KE, Force, Acceleration, Time

1. How do you calculate the energy of a system?

To calculate the energy of a system, you must first determine the types and amounts of energy present. This can include kinetic energy, potential energy, thermal energy, etc. Once you have identified the types of energy, you can use equations specific to each type to calculate the total energy of the system.

2. What is an electron gun and how does it relate to energy?

An electron gun is a device that emits a beam of electrons. It is commonly used in cathode ray tubes and particle accelerators. The energy of the electrons in the beam can be calculated using the equation E = qV, where q is the charge of the electron and V is the voltage accelerating the electrons in the gun.

3. How do you calculate the kinetic energy of an object?

The kinetic energy of an object can be calculated using the equation KE = 1/2mv^2, where m is the mass of the object and v is the velocity of the object. This equation assumes that the object is moving in a straight line with constant velocity.

4. What is the relationship between force and energy?

Force and energy are related in the sense that force is required to change the energy of an object. For example, when a force is applied to an object, it can either increase or decrease the object's kinetic energy, potential energy, or thermal energy, depending on the direction and magnitude of the force.

5. How does acceleration affect the energy of a system?

Acceleration can affect the energy of a system in several ways. For instance, if an object is accelerating, its kinetic energy will change as its velocity changes. Additionally, acceleration can also affect the potential energy of a system, such as in the case of an object falling and gaining potential energy due to an increase in height.

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