Electric Potential of a Proton Question

In summary, the conversation involves finding the proton's speed at point B, given its speed at point A of 53,000 m/s and the electric potential differences between point A and point B. Using the equations for kinetic and potential energy, the solution is found to be 68,739.85 m/s, using the conservation of energy.
  • #1
blablasometin
2
0
A proton's speed as it passes point A is 53,000 m/s. It follows the trajectory shown in the figure below, in which V1 = 15 V and V3 = 5 V. What is the proton's speed at point B?

Figure: http://www.webassign.net/knight/p29-44alt.gif

Homework Statement


Mass of proton: 1.67e-27
Charge of proton: 1.6e-19
Difference in Electric Potential
velocity at point A: 53000m/s
V1 = 15V
V2 = 10V
V3 = 5V

Homework Equations


KE=1/2mv^2
V=(kq)/r
V=Ed

The Attempt at a Solution


10q=1/2mv^2
v=sqrt(20*1.6e-19/1.67e-27)
 
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  • #2
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Last edited:
  • #3
never mind I got the solution:

KE(B) + PE(B) = KE(A) + PE(A)

(1/2)mvB^2 + qV(B) = (1/2)mvA^2 + qV(A)\

vB^2 = vA^2 + (2q/m)[V(A) - V(B)]

Answer: 68739.85m/s

I should have known it was a simple conservation of energy problem
 

What is the electric potential of a proton?

The electric potential of a proton is 1.602 x 10^-19 joules per coulomb. This value represents the amount of energy needed to move a proton from infinity to a specific point in an electric field.

How is the electric potential of a proton calculated?

The electric potential of a proton is calculated using the formula V = kq/r, where V is the potential, k is the Coulomb's constant (9 x 10^9 Nm^2/C^2), q is the charge of the proton, and r is the distance from the proton to the point where the potential is being measured.

What is the difference between electric potential and electric potential energy?

Electric potential is a measure of the amount of potential energy per unit charge at a specific point in an electric field. Electric potential energy, on the other hand, is the potential energy of a charged particle in an electric field. It is calculated by multiplying the charge of the particle by the electric potential at that point.

How does the electric potential of a proton affect its motion?

The electric potential of a proton affects its motion by exerting a force on the proton. Protons will move towards areas of lower potential and away from areas of higher potential, just like how objects move towards areas of lower gravitational potential and away from areas of higher gravitational potential.

What is the relationship between electric potential and electric field?

Electric potential and electric field are closely related. The electric field is the gradient of the electric potential, meaning that the electric field points in the direction of decreasing potential. In other words, the electric field shows the direction and magnitude of the force that would be exerted on a charged particle at a specific point in the electric field.

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