A spring with an unstrained length of 0.074 m and a spring constant of 2.4 N/m hangs vertically downward from the ceiling. A uniform electric field directed vertically upward fills the region containing the spring. A sphere with a mass of 5.1 3 1023 kg and a net charge of 16.6 mC is attached to the lower end of the spring. The spring is released slowly, until it reaches equilibrium. The equilibrium length of the spring is 0.059 m. What is the magnitude of the external electric field?

Q: Estimate the magnitude of the electric field due to the proton in a hydrogen atom at a distance of…

A: To find the position of the electron in the atom

Q: The velocity of a particle (m = 10 mg, q = - 4.0 µC) at t = 0 is 20 m/s in the positive x-direction.…

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Q: Two particles of equal mass, m= 0.5 kg, are initially at rest (t=0). The first particle has an…

A:

Q: 2. An electric field given by Ë = 8.0i – 5.0(y² – 8.0) 3 penetrates the Gaussian cube of edge length…

A: Given,Electric field is given by,E→ = 8.0 i^ - 5.0y2 - 8.0j^length of the cube is, l = 0.50 m

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Q: A charged polystyrene ball of mass m = 10.0 g is hanging from the ceiling by a piece of string with…

A: Consider the FBD of the polystyrene ball is given below.

Q: A uniform electric field of magnitude E = 12 N/C points along the x-axis. A circular loop of radius…

A:

Q: The velocity of a particle (m = 10 mg, q = - 4.0 µC) at t = 0 is 20 m/s in the positive x-direction.…

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Q: A particle with charge q = +3e and mass m = 9.1 x 10-26 kg is injected horizontally with speed 1.4 x…

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Q: Estimate the magnitude of the electric field due to the proton in a hydrogen atom at a distance of…

A:

Q: Question 2 A particle (m = 20 mg, g = -5.0 µC) moves in a uniform electric field of 60 N/C in the…

A: Force on particle (F) = q.E =-5×10-6(60)=-3×10-4 N Acceleration of particle at t=0 F=m.a a=F/m…

Q: A particle having charge q = +2.00 μC and mass m = 0.010 0 kg is connected to a string that is L =…

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Q: A small, 0.5 g plastic ball carrying a charge 6.3µc is suspended by a 30 cm long string in a uniform…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: In the figure a uniform, upward electric field of magnitude 2.10 × 103 N/C has been set up between…

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Q: An electron moves initially to the right as it enters a region between two parallel plates that have…

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Q: A particle (q = 4 mC, m = 50 g) has a velocity 25 m/s in the horizontal direction when it first…

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Q: V+ 2d d P+ V. A particle of charge +q and mass m is ejected from the point P with the initial…

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Q: Which configuration will have a zero electric field at the origin? * 5q 5ą 5q 29 5q 29 -2g 5g 3ą 39…

A: For the given charge configuration,

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A:

Q: A proton is initially moving horizontally at v0= 3x106 m/s when it enters a uniform electric field…

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A: (B)   -60.80 m/s

Q: The charge per unit length on a long straight thin wire is 41.8 µC/m. The electric field (in MN/C)…

A: The electric field due to a long wire at a distance is  where, r is the distance, is the linear…

Q: 2d P+ Q v. A particle of charge +q and mass m is ejected from the point P with the initial velocity…

A: Given: initial velocity u→=30i^+20j^ m/s d=2 cm = 0.02 m L = 10 cm =0.1 m V = 1000 V

Q: An electric dipole has opposite charges of 5x10 15 C separated by a distance of 0.4 mm. It is…

A: Given:  Magnitude of electric field             E=2×10+3N/C   charges =pq=5×10-15C             θ=60°…

Q: A small object is connected to a lightweight cord of length L=1.20 m that is tied to a point P, as…

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Q: Positive charge Q = 7.8 n C  is spread uniformly along a thin insulating rod of length L = 14.5 cm.…

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Q: 9. A 74.0–g block carrying a charge Q=35.0 µC is connected to a spring for which k= 78.0 N/m. The…

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Q: An insulating rod having linear charge density 2-60.0 µC/m and linear mass density u -0.20 kg/m is…

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Q: radius R=2.4 cm in radius contains a uniform distribution of charges, and the field The resulting…

A: Given data: The radius of the ring r=2.4 cm

Q: A ball of mass m=95.0 g and charge Q=+45.0 µC hangs from a massless string. The ball is in a uniform…

A:

Q: The velocity of a particle (m = 10 mg, q = - 4.0 µC) at t 0 is 20 m/s in the positive x-direction.…

A: Let us calculate the amount of force experienced by the particle in the electric field.…

Q: A particle (mass = 4.0 g. charge = 80 mC) moves in a region of space where the electric field is…

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Q: The velocity of a particle (m= 10 mg, q= -4 microC) at a t=0 is 20m/s in the positive x-direction.…

A: Given that m= 10 mg, = 10-⁵ kg q= -4 microC= - 4× 10-⁶ C At t= 0 initial velocity (u)= 20 m/s…

Q: How long (in ns) does it take for an electron starts from rest to move a distance of 1.0 cm through…

A:

Q: An electron with a horizontal speed of 2300000 m/s and no vertical component of velocity passes…

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Q: Two small metallic spheres, each of mass m = 0.20 g, are suspended as pendulums by light strings…

A: Given:

Q: The velocity of a particle (m = 10 mg, q = - 4.0 µC) at t = 0 is 20 m/s in the positive x-direction.…

A: Given,Velocity of particle (u)=20m/smass (m)=10mg=10-5kgcharge (q)=-4.0μC=-4.0×10-6CElectric field…

Q: (a) Will the electron strike one of the plates? (b) If so, which plate, top or bottom? (c) How far…

A: Given data:     The electric field is: E = 2.10×103 N/C The mass of an electron is: m =9.109×10-31…

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.