A small, charged particle of mass 9.42 x 10-7g and charge +4.50 x 10-12C is sent toward a fixed metal sphere of radius 4.00cm and net charge of 8.50 x 10-8C. (a) If the particle is moving with a speed of 12m/s when it is 32.0cm away from the center of the sphere, does the particle strike the sphere? (b) If so, what is the particle’s speed just before hitting the sphere? (c) If the particle does not strike the sphere, what is its closest distance to the sphere?

Q: A charge of -3C is fixed in place. From a horizontal distance of 0.0450 m, a particle of mass…

A: Given Data: The fixed charge is, q = -3 C. The horizontal distance is, d = 0.0450 m. The mass of…

Q: An electric field with a magnitude of 6.0 x 104 N/C is directed parallel to the positive y axis. A…

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Q: A point charge q1 = +5.00 micro Coulomb is held fixed in space. From a horizontal distance of 6.00…

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Q: A small, charged particle of mass 4.30 x 10-8g and charge +1.92 x 10-13C is sent toward a large…

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Q: An electron (of mass 9.109 × 10−31 kg) and a proton (of mass 1.673 × 10−27 kg) are each placed at…

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Q: Two chloride ions and two sodium ions are in water, the "effective charge" on the chloride ions…

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Q: Two protons (p) and two electrons (e) are arranged on a circle of radius r = 5 [cm], with angles 0₁…

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Q: The smiling face of the figure consists of three items: 1. a thin rod of charge -2.40 μC that forms…

A: Given  A charge on first thin rod is q1 = -2.40 μC = -2.40 x 10-6 C. The radius of full circle is r1…

Q: 45. A particle of charge-4.0 uC is fixed at a height 3.0 m above the ground and another particle of…

A: Forces acting on the moving object are electric force and gravitational force which are conservative…

Q: A point charge q1 = +5.00 micro Coulomb is held fixed in space. From a horizontal distance of 6.00…

A: Given:-              By the law of conservation of energy top know the distance charge q2 at the…

Q: A helium nucleus of mass m = 6.64 ✕ 10−27 kg and charge q = 3.20 ✕ 10−19 C is in a constant electric…

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Q: A particle of charge +13.4 C and mass 1.86 × 10-5 kg is released from rest in a region where there…

A: Given data: Charge of a particle, q = 13.4 C Mass, m = 1.86 x 10-5 kg Electric field, E = 790 N/C…

Q: Two point charges q1 = 4.41 nC and q2 1.68 nC with masses of m1 = 8.84 µg and m2 at rest separated…

A: Work done to separate the charges is equal to the change in kinetic energy of the point charge q2.…

Q: An infinitely long line of charge has linear charge density 4.00x10-12 +1.60x 10 19 C) is 18.0 cm…

A: The electric potential at a distance r from the line of linear charge density λ is given by…

Q: Two point charges q1= 1.25 nC and q2= 4.50 nC with masses of = 3.00 µg and = 1.00 µg respectively,…

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Q: A proton (mass 1.67 x 10-27 kg, charge +e) is fired directly at a lithium nucleus (mass 1.16 x 10-26…

A: Given: The intial speed of the proton is 4.79x105 m/s. The mass of the proton is 1.67x10-27 kg. The…

Q: A point charge, q = +8.00 pC, and mass, m = 2.00 x 10-14 kg starts from rest on a planar, infinite…

A: Given value--- Charge = + 8C. mass = 2 × 10-14 kg. Charge density = 3 pC. s = 1 cm. We have to…

Q: A charge of Q1 = -3.0 µC is fixed in place. From a horizontal distance of S = 0.045m a particle of…

A: Given: Charge, Q1 = -3.0 μC = -3.0 × 10-6 Ccharge, Q2 = -8.0 μC = -8.0 × 10-6 C horizontal distance,…

Q: a 27 x 10-6 C point charge is held at rest within a uniform Electric field of 802.3 N/C directed in…

A: The electric field is defined as the force per unit charge acting on the charged particle placed at…

Q: A point charge q1 = +5.00 micro Coulomb is held fixed in space. From a horizontal distance of 6.00…

A: Given: Charge q1 = 5 uC distance, r1 = 6 cm Mass of sphere, m = 4 X 10-3 kg Charge q2 = 2 uC Initial…

Q: The distance between two equally charged particles is 2.9 x 10-3 m. Then they are released from…

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Q: A particle possessing q = 8.25 µC of charge and a mass of m = 7.55 g is fired at a speed of v = 357…

A: Solution:-   Given,        charge of the particle  q=8.25 μc         mass of the particle…

Q: Two point charges q1 = 6.17 nC and q2 = 3.05 nC with masses of mi = 6.79 µg and m2 = 4.89 µg,…

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Q: A charge of -3.84 uC is fixed in place. From a horizontal distance of 0.0440 m, a particle of mass…

A: Let at a distance r from the given charge Q the moving charged particle comes to rest. At this…

Q: Two parallel plates have opposite charges and are 1.0 cm apart. A uniform electric field of 400 N/C…

A: Given, Electric field=400N/C Distance=1cm

Q: Two charges Q1( + 2.00 μC) and Q2( + 2.00 μC) are placed symmetrically along the x-axis at x = ±…

A: Given:

Q: Two particles of 5.4g and 2.7 g have charges of -4μCC and 8μC respectively. They are at rest 10 cm…

A: Given data The mass of the heavier particle is: m2 = 5.4 g = 5.4 x 10-3 kg The mass of the lighter…

Q: electron is "shot" at an angle of 40.0 with a velocity of 3.50 x 10^4 m/s from the ce Dx1.00 m plate…

A: Given values:- Angle inclined,(θ)=400 ----(1) Velocity,(v)=3.50 x 104 m/sec ----(2) Area,(A)= 1 m x…

Q: In a vacuum, a proton (charge = +e, mass = 1.67 × 10-27 kg) is moving parallel to a uniform electric…

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Q: 1. The Coulomb's force between a proton and an electron is 2.27x1039 times greater than the…

A: The given relation between gravitational force and coulombic force

Q: A point charge q1 = +5.00 micro Coulomb is held fixed in space. From a horizontal distance of 6.00…

A: Given data: Magnitude of point charge is, q1=+5.00 μC=+5.00×10-6 C. Mass of sphere is, m=4.00×10-3…

Q: An electron (of mass 9.109 × 10−31 kg) and a proton (of mass 1.673 × 10−27 kg) are each placed at…

A: Given- Mass of electron me =9.1×10-31 kg Mass of proton mp=1.673×10-27 kg The fundamental charge is…

Q: Particles 1 and 2 have the same magnitude of charge but opposite in sign: q1 = −q2 = 8.61 nC.…

A: Given q1 = - 8.61 nC = -8.61 ×10-9 C  q2 = 8.61 × 10-9 C  m2 = 36.1× 10-6 g = 36.1 × 10-9 kg…

Q: Three point particles, each with a mass m and a charge of +5.0 nC, are placed at the vertices of an…

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Q: In a vacuum, a proton (charge = +e, mass = 1.67 x 10-27 kg) is moving parallel to a uniform electric…

A: Given values: Charge of proton, e=1.6×10-19 C Mass of proton, m=1.67×10-27 kg Initial velocity,…

Q: Particle 1 has mass 3.00 g and charge +8.00 μC. Particle 2 has mass 6.00 g and the same charge. They…

A: mass of first particle (m) = 3 gmass of second particle (m') = 6 g Charge on each particle (q) = 8…

Q: A +7.00µC point charge and −9.00µC point charge are placed along the x-axis at x = 0.000 m andx =…

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Q: A point charge q1=+5.00 micro Coulomb is held fixed in space. From a horizontal distance of 6.00 cm,…

A: Given data: The point charge is q1=5 μC. The point charge is q2=2 μC. The initial speed of the…

Q: An electron starts from rest 3.0 cm from the center of a uniformly charged insulating sphere of…

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Q: If the gravitational force of two identical particles is equal to the electrostatic force between…

A: Let the mass of particle = M Let the distance between particles = d Distance between electron and…

Q: A point charge q1 = +5.00 micro Coulomb is held fixed in space. From a horizontal distance of 6.00…

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Q: A proton is shot directly toward the center of a large metal plate that has a surface charge density…

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Q: One particle has a mass of 3.00 X 10-³ kg and a charge of +8.00 mu C A second particle has a mass of…

A: Given that:- Mass of particle1=3×10^-3 kg  Mass of particle2=6×10^-3 kg

Q: A particle of mass m=3.00x10-10 kg and charge q=5.00 nC is placed at the surface of a conducting…

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Electric Charges and Fields

One of the fundamental properties is the electromagnetic property. Charge cannot be destroyed by any process and this contributes formally to the law of charge conservation.