Exam 15: Electric Charge force and Energy

A point charge Q = -12 μC,and two other charges q₂ and q₂,are placed on x-y axes as shown in the figure.The electric force components exerted on charge Q are F_x = +0.005 N and Fy = -0.003 N.(k = 1/4πε₀ = 9.0 × 10⁹ N ∙ m²/C²,e = 1.6 × 10^-19 C) (a)How many excess electrons are there in charge Q? (b)What are the charges q1 and q2, including their signs?

(Short Answer)

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Question 41

There is a +5.0-μC charge at three corners of a square having sides 70 mm long.What are the magnitude and direction of the net electrostatic force exerted on +6.0 μC placed at the center of the square? (k = 1/4πε₀ = 9.0 × 10⁹ N ∙ m²/C²)

(Short Answer)

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Question 42

An alpha particle (a helium nucleus,having charge +2e and mass 6.64 × 10^-27 kg)moves head-on at a fixed gold nucleus (having charge +79e).If the distance of closest approach is 2.0 × 10^-10 m,what was the speed of the alpha particle when it was very far away from the gold? (k = 1/4πε₀ = 9.0 × 10⁹ N ∙ m²/C²,e = 1.60 × 10^-19 C)

(Multiple Choice)

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Question 43

A +5.0-nC charge is at the point (0.00 m,0.00 m)and a -2.0-nC charge is at (3.0 m,0.00 m).What work is required to bring a 1.0-nC charge from very far away to point (0.00 m,4.0 m)? (k = 1/4πε₀ = 9.0 × 10⁹ N ∙ m²/C²)

(Multiple Choice)

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Question 44

A 7.0-μC point charge and a $9.0 - \mu \mathrm { C }$ point charge are initially extremely far apart.How much work does it take to bring the $7.0 - \mu \mathrm { C }$ point charge to the point $x = 3.0 \mathrm {~mm}$ $y = 0.0 \mathrm {~mm}$ ,and the $9.0 - \mu \mathrm { C }$ point charge to the point $x = - 3.0 \mathrm {~mm}$ $y = 0.0 \mathrm {~mm} ?$ (k = 1/4πε₀ = 9.0 × 10⁹ N ∙ m²/C²)

(Multiple Choice)

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Question 45

Two tiny beads,each of mass 3.2 g,carry equal-magnitude charges.When they are placed 6.4 cm apart and released in outer space,they begin to accelerate toward each other at 538 m/s².What is the magnitude of the charge on each bead? (k = 1/4πε₀ = 9.0 × 10⁹ N ∙ m²/C²)

(Multiple Choice)

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Question 46

A +7.5-nC point charge is 5.0 cm from a -9.4-µC point charge in your laboratory in California.How much work would you have to do if you left the +7.5-nC charge in the lab but took the -9.4-µC charge to New York City? (k = 1/4πε₀ = 9.0 × 10⁹ N ∙ m²/C²)

(Short Answer)

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Question 47

A plastic rod is charged up by rubbing a wool cloth,and brought to an initially neutral metallic sphere that is insulated from ground.It is allowed to touch the sphere for a few seconds,and then is separated from the sphere by a small distance.After the rod is separated,the rod

(Multiple Choice)

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Question 48

The zirconium nucleus contains 40 protons,and an electron is 1.0 nm from the nucleus.What is the electric force exerted on the electron by the nucleus? ( e = 1.60 × 10^-19 C,k = 1/4πε₀ = 9.0 × 10⁹ N ∙ m²/C²)

(Multiple Choice)

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Question 49

Two electrons are $20.0 \mathrm {~mm}$ apart at closest approach.What is the magnitude of the maximum electric force that they exert on each other? (e = 1.60 × 10^-19 C,k = 1/4πε₀ = 9.0 10⁹ N ∙ m²/C²)

(Multiple Choice)

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Question 50

Two tiny particles having charges q₁ = +56.0 nC and ^q₂ = -46.0 nC are separated by $0.500 \mathrm {~m}$ and held in place,as shown in the figure.A third particle,having a charge of $54.0 \mathrm { nC }$ is placed at the point A, which is 0.18 m to the left of ^q₂.How much work is needed to move the third particle from point A to point B,which is 0.40 m to the left of ^q₁.All the points in the figure lie on the same line.(k = 1/4πε₀ = 9.0 × 10⁹ N ∙ m²/C²) $Two tiny particles having charges q1 = +56.0 nC and q2 = -46.0 nC are separated by 0.500 \mathrm {~m} and held in place,as shown in the figure.A third particle,having a charge of 54.0 \mathrm { nC } is placed at the point A, which is 0.18 m to the left of q2.How much work is needed to move the third particle from point A to point B,which is 0.40 m to the left of q1.All the points in the figure lie on the same line.(k = 1/4πε0 = 9.0 × 109 N ∙ m2/C2)$

(Short Answer)

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Question 51

Two tiny beads are 25 cm apart with no other charges or fields present.Bead A carries 10 µC of charge and bead B carries 1 µC.Which one of the following statements is true about the magnitudes of the electric forces exerted on these beads?

(Multiple Choice)

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Question 52

A proton and an electron are released from rest,with only the electrostatic forces being exerted.Which of the following statements must be true about them as they move toward each other? (There could be more than one correct choice.)

(Multiple Choice)

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Question 53

Two point charges,Q₁ and Q₂,are separated by a distance R.If the magnitudes of both charges are halved and their separation is also halved,what happens to the electrical force that each charge exerts on the other one?

(Multiple Choice)

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Question 54

The figure shows an arrangement of two particles each having charge Q = -6.8 nC and each separated by 5.0 mm from a proton.If the two particles are held fixed at their locations and the proton is set into motion as shown,what is the minimum speed the proton needs to totally escape from these particles? (m_proton = 1.67 × 10^-27 kg,e = 1.60 × 10^-19 C,k = 1/4πε₀ = 9.0 × 10⁹ N ∙ m²/C²)

(Multiple Choice)

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Question 55

Two equal and opposite charges are a small distance apart,forming an electric dipole.A positive charge +q is placed above these charges,as shown in the figure,equidistant from both of them.Which diagram below best gives the direction of the net force the dipole exerts on the charge +q?

(Multiple Choice)

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Question 56

When 1.0-µC point charge is 15 m from a second point charge,the magnitude of the force they exert on each other is 1.0 µN.What is the magnitude of the second charge? (k = 1/4πε₀ = 9.0 × 10⁹ N ∙ m²/C²)

(Multiple Choice)

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Question 57

Two 10¢ coins (dimes)carrying identical charges are lying 2.5 m apart on a table.If an electrostatic force of magnitude 2.0 N is exerted on each coin by the other coin,how large is the charge on each coin? (k = 1/4πε₀ = 9.0 × 10⁹ N ∙ m²/C²)

(Multiple Choice)

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Question 58

In outer space,a positive charge q is released near a positive fixed charge Q,as shown in the figure.As q moves away from Q,what is true about the motion of q? (There may be more than one correct choice.)

(Multiple Choice)

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Question 59

The three point charges +4.0 μC,-5.0 μC,and -9.0 μC are placed on the x-axis at the points x = 0 cm,x = 40 cm,and x = 120 cm,respectively.What is the x component of the net electrostatic force exerted on the -9.0 μC charge by the other two charges? (k = 1/4πε₀ = 9.0 × 10⁹ N ∙ m²/C²)

(Multiple Choice)

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Question 60

Showing 41 - 60 of 78

Exam 15: Electric Charge force and Energy

There is a +5.0-μC charge at three corners of a square having sides 70 mm long.What are the magnitude and direction of the net electrostatic force exerted on +6.0 μC placed at the center of the square? (k = 1/4πε0 = 9.0 × 109 N ∙ m2/C2)

A +5.0-nC charge is at the point (0.00 m,0.00 m)and a -2.0-nC charge is at (3.0 m,0.00 m).What work is required to bring a 1.0-nC charge from very far away to point (0.00 m,4.0 m)? (k = 1/4πε0 = 9.0 × 109 N ∙ m2/C2)

Two tiny beads,each of mass 3.2 g,carry equal-magnitude charges.When they are placed 6.4 cm apart and released in outer space,they begin to accelerate toward each other at 538 m/s2.What is the magnitude of the charge on each bead? (k = 1/4πε0 = 9.0 × 109 N ∙ m2/C2)

A +7.5-nC point charge is 5.0 cm from a -9.4-µC point charge in your laboratory in California.How much work would you have to do if you left the +7.5-nC charge in the lab but took the -9.4-µC charge to New York City? (k = 1/4πε0 = 9.0 × 109 N ∙ m2/C2)

A plastic rod is charged up by rubbing a wool cloth,and brought to an initially neutral metallic sphere that is insulated from ground.It is allowed to touch the sphere for a few seconds,and then is separated from the sphere by a small distance.After the rod is separated,the rod

The zirconium nucleus contains 40 protons,and an electron is 1.0 nm from the nucleus.What is the electric force exerted on the electron by the nucleus? ( e = 1.60 × 10-19 C,k = 1/4πε0 = 9.0 × 109 N ∙ m2/C2)

Two electrons are 20.0 mm20.0 \mathrm {~mm}20.0 mm apart at closest approach.What is the magnitude of the maximum electric force that they exert on each other? (e = 1.60 × 10-19 C,k = 1/4πε0 = 9.0 109 N ∙ m2/C2)

Two tiny beads are 25 cm apart with no other charges or fields present.Bead A carries 10 µC of charge and bead B carries 1 µC.Which one of the following statements is true about the magnitudes of the electric forces exerted on these beads?

A proton and an electron are released from rest,with only the electrostatic forces being exerted.Which of the following statements must be true about them as they move toward each other? (There could be more than one correct choice.)

Two point charges,Q1 and Q2,are separated by a distance R.If the magnitudes of both charges are halved and their separation is also halved,what happens to the electrical force that each charge exerts on the other one?

Two equal and opposite charges are a small distance apart,forming an electric dipole.A positive charge +q is placed above these charges,as shown in the figure,equidistant from both of them.Which diagram below best gives the direction of the net force the dipole exerts on the charge +q?

When 1.0-µC point charge is 15 m from a second point charge,the magnitude of the force they exert on each other is 1.0 µN.What is the magnitude of the second charge? (k = 1/4πε0 = 9.0 × 109 N ∙ m2/C2)

Two 10¢ coins (dimes)carrying identical charges are lying 2.5 m apart on a table.If an electrostatic force of magnitude 2.0 N is exerted on each coin by the other coin,how large is the charge on each coin? (k = 1/4πε0 = 9.0 × 109 N ∙ m2/C2)

In outer space,a positive charge q is released near a positive fixed charge Q,as shown in the figure.As q moves away from Q,what is true about the motion of q? (There may be more than one correct choice.)

The three point charges +4.0 μC,-5.0 μC,and -9.0 μC are placed on the x-axis at the points x = 0 cm,x = 40 cm,and x = 120 cm,respectively.What is the x component of the net electrostatic force exerted on the -9.0 μC charge by the other two charges? (k = 1/4πε0 = 9.0 × 109 N ∙ m2/C2)

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There is a +5.0-μC charge at three corners of a square having sides 70 mm long.What are the magnitude and direction of the net electrostatic force exerted on +6.0 μC placed at the center of the square? (k = 1/4πε₀ = 9.0 × 10⁹ N ∙ m²/C²)

A +5.0-nC charge is at the point (0.00 m,0.00 m)and a -2.0-nC charge is at (3.0 m,0.00 m).What work is required to bring a 1.0-nC charge from very far away to point (0.00 m,4.0 m)? (k = 1/4πε₀ = 9.0 × 10⁹ N ∙ m²/C²)

Two tiny beads,each of mass 3.2 g,carry equal-magnitude charges.When they are placed 6.4 cm apart and released in outer space,they begin to accelerate toward each other at 538 m/s².What is the magnitude of the charge on each bead? (k = 1/4πε₀ = 9.0 × 10⁹ N ∙ m²/C²)

A +7.5-nC point charge is 5.0 cm from a -9.4-µC point charge in your laboratory in California.How much work would you have to do if you left the +7.5-nC charge in the lab but took the -9.4-µC charge to New York City? (k = 1/4πε₀ = 9.0 × 10⁹ N ∙ m²/C²)

The zirconium nucleus contains 40 protons,and an electron is 1.0 nm from the nucleus.What is the electric force exerted on the electron by the nucleus? ( e = 1.60 × 10^-19 C,k = 1/4πε₀ = 9.0 × 10⁹ N ∙ m²/C²)

Two electrons are $20.0 \mathrm {~mm}$ apart at closest approach.What is the magnitude of the maximum electric force that they exert on each other? (e = 1.60 × 10^-19 C,k = 1/4πε₀ = 9.0 10⁹ N ∙ m²/C²)

Two point charges,Q₁ and Q₂,are separated by a distance R.If the magnitudes of both charges are halved and their separation is also halved,what happens to the electrical force that each charge exerts on the other one?

When 1.0-µC point charge is 15 m from a second point charge,the magnitude of the force they exert on each other is 1.0 µN.What is the magnitude of the second charge? (k = 1/4πε₀ = 9.0 × 10⁹ N ∙ m²/C²)

Two 10¢ coins (dimes)carrying identical charges are lying 2.5 m apart on a table.If an electrostatic force of magnitude 2.0 N is exerted on each coin by the other coin,how large is the charge on each coin? (k = 1/4πε₀ = 9.0 × 10⁹ N ∙ m²/C²)

The three point charges +4.0 μC,-5.0 μC,and -9.0 μC are placed on the x-axis at the points x = 0 cm,x = 40 cm,and x = 120 cm,respectively.What is the x component of the net electrostatic force exerted on the -9.0 μC charge by the other two charges? (k = 1/4πε₀ = 9.0 × 10⁹ N ∙ m²/C²)