Subjects

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Electric Potential Energy | 8 mins | 0 completed | Learn Summary |

Electric Potential | 30 mins | 0 completed | Learn Summary |

Work From Electric Force | 32 mins | 0 completed | Learn |

Relationships Between Force, Field, Energy, Potential | 28 mins | 0 completed | Learn |

The ElectronVolt | 6 mins | 0 completed | Learn |

Equipotential Surfaces | 12 mins | 0 completed | Learn |

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Concept #1: Electric Potential Energy

A point charge q1 = 4.00 nC is placed at the origin. A second point charge q 2 = -3.00 nC is placed on the x-axis at x = 20.0 cm. A third point charge q3 = 2.00 nC is placed on the x-axis between q1 and q2. Assume that the potential energy of the three charges is zero when they are infinitely far apart. Determine the electric potential energy of the system of the three charges if q3 is placed at x = 10.0 cm.

A system of charges are shown in the figure. What is the electric potential energy of the following system of charges?
1. U = kQ2 / ℓ
2. U = 0
3. U = kQ2 / 3ℓ
4. U = kQ2 / ℓ2
5. U = - kQ2 / 2ℓ
6. U = - kQ2 / ℓ
7. U = - kQ2 / 3ℓ
8. U = kQ2
9. None of these.
10. U = kQ2 / 2ℓ

Three point charges shown below are located at the vertices of an equilateral triangle. If the electric potential energy of two point charges is defined to be zero if the distance between them approaches infinity, the total electric potential energy of the system of those three charges is
A) Positive
B) Zero
C) Negative
D) All of the above

If a negative charge (-Q) is placed at point P in the above diagram, which situation minimizes the electric potential energy?A) Situation AB) Situation BC) Situation CD) Situation D

Three equal point charges, each with charge 1.35 μC, are placed at the vertices of an equilateral triangle whose sides are of length 0.250 m. What is the electric potential energy U of the system? (Take as zero the potential energy of the three charges when they are infinitely far apart.) Use ϵ0 = 8.85 x 10-12 C2/Nm2 for the permittivity of free space.

The figure(Figure 1) is the potential-energy diagram for a 20 g particle that is released from rest at x=1.0m.1. Will the particle move to the right or left?2. How can you tell?3. What is the particle's maximum speed?4. At what position does it have this speed?5. Where are the turning points of the motion?

What is the electric potential energy of the group of charges in the figure?

Four point charges form a square with sides of length d, as shown in the figure. In the questions that follow, use the constant k in place of .What will be the potential energy Utot of the system of charges when charge +2q is at a very large distance from the other charges? Express your answer in terms of q, d, and appropriate constants.

Which statements about potential energy are correct? Select all that apply.a) The potential energy of a pair of interacting charged objects increases as the distance between them increases.b) Potential energy can be either positive or negative.c) When two interacting charged objects get very far away from each other, their potential energy approaches zero.d) Potential energy is a property of a pair of objects.e) A single isolated object can have potential energy.f) A single particle does not have potential energy.g) Potential energy is always a positive number.

Four point charges form a square with sides of length d, as shown in the figure. In the questions that follow, use the constant k in place of .What would be the kinetic energy K2q of charge 2q at a very large distance from the other changes?Express your answer in terms of q, d, and appropriate constants.

Two protons are released from rest when they are 0.750 nm apart.a) What is the maximum speed they will reach?

A proton has an initial speed of 3.9 × 105 m/s.What potential difference is required to reduce the initial speed of the proton by a factor of 3?_____ kV

A proton has an initial speed of 3.9 × 105 m/s.What potential difference is required to reduce the initial kinetic energy of the proton by a factor of 3?_____ kV

A 2.5 mm -diameter sphere is charged to -4.6 nC . An electron fired directly at the sphere from far away comes to within 0.35 mm of the surface of the target before being reflected.What was the electron's initial speed?At what distance from the surface of the sphere is the electron's speed half of its initial value?What is the acceleration of the electron at its turning point?

A 2.6 mm -diameter sphere is charged to -4.6 nC . An electron fired directly at the sphere from far away comes to within 0.37 mm of the surface of the target before being reflected. What was the electron's initial speed?

A 2.6 mm -diameter sphere is charged to -4.6 nC . An electron fired directly at the sphere from far away with an initial velocity of 9.34 × 107 m/s. It comes to rest within 0.37 mm of the surface of the target before being reflected. At what distance from the surface of the sphere is the electron's speed half of its initial value?

Four point charges form a square with sides of length d, as shown in the figure. In the questions that follow, use the constant k in place of 1/(4πϵ0).Part DWhat would be the kinetic energy K2q of charge 2q at a very large distance from the other charges?Express your answer in terms of q, d, and appropriate constants.Part EWhat will be the potential energy Utot of the system of charges when charge 2q is at a very large distance from the other charges?Express your answer in terms of q, d, and appropriate constants.

The graph in the figure shows the electric potential energy as a function of separation for two point charges.If one charge is +0.44 nC, what is the other charge?q=_____ nC

A point charge with a charge q1 = 3.10 μC is held stationary at the origin. A second point charge with a charge q2 = -4.10 μC moves from the point x = 0.130 m , y = 0 to the point x = 0.230 m , y = 0.290 m.How much work is done by the electric force on q2?

A proton's speed as it passes point A is 50000 m/s . It follows the trajectory shown in the figure.(Figure 1)What is the proton's speed at point B?

An alpha particle (α), which is the same as a helium-4 nucleus, is momentarily at rest in a region of space occupied by an electric field. The particle then begins to move. Find the speed of the alpha particle after it has moved through a potential difference of -3.45×10-3 V.The charge and the mass of an alpha particle are qα = 3.20x10 -19 C and mα 6.68x10-27 kg, respectively.What is the value of the change in potential energy, ΔU=Uf−Ui, of the alpha particle? Express your answer in joules using three significant figures.

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