Proton Motion in Electric Field

In summary, when a proton particle with a mass of 1.67x10e-27 kg is released close to a (+) sheet with a potential of 40 volts, it will move closer to the (-) sheet due to electric field. The kinetic energy of the proton right before it hits the (-) sheet can be calculated using the formula KE=q*v, which in this case would equal to 6.4x10e-18. To find the velocity of the proton before striking the (-) sheet, the formula KE=mv^2/2 can be used, which results in a velocity of 87548 m/s. These calculations were confirmed to be correct by another user.
  • #1
XTEND
19
0

Homework Statement


2 large metal sheets are separated by a potential of 40 volts by a vaccum. When the proton particle (mass 1.67x10e-27 kg)is released close to the (+) sheet it moves closer to the (-) sheet by way of electric field. What's the KE right before the proton smacks the other sheet? And what's the velocity of before striking the (-) sheet?


Homework Equations



KE=>q*v and EK=mv^2/2

The Attempt at a Solution



KE= 1.6x10e-19(40)=6.4x10e-18

v= ?
 
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  • #2
What's the formula for the kinetic energy of an object (in terms of the object's velocity)?
 
  • #3
Can anyone help me with this?

I think the velocity is 87548 m/s. Is this correct?
 
  • #4
XTEND said:
Can anyone help me with this?

I think the velocity is 87548 m/s. Is this correct?

Your answer is correct.
 
  • #5
what about the first part for KE?
 
  • #6
XTEND said:
what about the first part for KE?

If that isn't correct, you wouldn't have gotten the right answer for v. So yes, KE=qV, and your calculation is right as well.
 

FAQ: Proton Motion in Electric Field

What is the work-energy principle?

The work-energy principle states that the work done on an object is equal to the change in its kinetic energy. This means that when a force is applied to an object, it will either increase or decrease its speed, depending on the direction of the force.

How is work related to energy?

Work and energy are closely related because work is the transfer of energy from one form to another. When work is done on an object, its energy changes. Similarly, when an object does work, it is transferring its energy to another object or system.

What is the formula for calculating work?

The formula for calculating work is W = Fd, where W is work, F is the applied force, and d is the displacement of the object in the direction of the force. The unit for work is joules (J).

Can an object have work done on it without changing its kinetic energy?

Yes, an object can have work done on it without changing its kinetic energy. This can happen when the force is applied perpendicular to the direction of motion, or when the object is stationary. In these cases, the work done will result in a change in the object's potential energy instead.

How is the work-energy principle used in real-life applications?

The work-energy principle is used in many real-life applications, such as calculating the efficiency of machines, understanding the motion of objects in different systems, and designing roller coasters. It is also used in sports, such as calculating the work done by a baseball pitcher or a basketball player shooting a ball.

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