A particle having charge q = +2.00 μC and mass m = 0.010 0 kg is connected to a string that is L = 1.50 m long and tied to the pivot point P in Figure P25.9. The particle, string, and pivot point all lie on a frictionless, horizontal table. The particle is released from rest when the string makes an angle θ = 60.0° with a uniform electric field of magnitude E = 300 V/m. Determine the speed of the particle when the string is parallel to the electric field.

Q: A block having mass m and charge + Q is connected to an insulating spring having a force constant k…

A: Answer  a) The system is isolated as there is no external force exerted on it b) Two potential…

Q: In the figure below, positive charge q = 7.60 pC is spread uniformly along a thin nonconducting rod…

A:

Q: A uniformly charged disk with radius R = 45.0 cm and uniform charge density o = 8.10 × 10¬3 C/m²…

A: The expression for the electric field for uniformly charged disk,

Q: A positively charged rod of length L = 0.250 m with linear charge density λ = 2.33 mC/m lies along…

A: length L = 0.250 m  linear charge density λ = 2.33 mC/m  distance 0.375 m

Q: One small sphere of mass m which has charge Q is suspended by a light insulating string with length…

A: SOlution: Given that E =3i + 2j angle = 45 degree

Q: • A proton with mass m = 1.67x10-27 kg and an initial velocity i, of magnitude 2x104 m/s in the…

A: m = 1.67 ×10-27 kg vo = 20000 msE = 50000 NC

Q: a)A point charge of 2 × 10−9 C is located at the origin. What is the magnitude of the electric field…

A: The below diagram represents the charge q that is placed at the origin, and a dipole placed on the…

Q: A laboratory has a region with a constant E = 1000N / C electric field in the vertical direction. A…

A: Given that  Electric field E=1000N/C height h=1m horizontal velocity Vo = 106 m / s. mass of the…

Q: A thin rod of length ℓ and uniform charge per unit length λ lies along the x axis, as shown in…

A: Consider an elemental length 'dx' at a distance 'x' from the centre of the wire as shown in the…

Q: (a) An electron is moving east in a uniform electric field of 1.30 N/C directed to the west. At…

A: (a) Given data: The magnitude of the electric field directed to the west, E=1.30 N/C. The velocity…

Q: A neutral solid metal sphere of radius 0.1 m is at the origin, polarized by a point charge of 7 ×…

A: The expression for the electric field is,

Q: One small sphere of mass m which has charge Q is suspended by a light insulating string with length…

A:

Q: A conducting rod carrying a total charge of +6.00 µC is bent into a semicircle of radius R = 45.0…

A:

Q: A solid, insulating sphere of radius a = 2 cm has been charged uniformly by a density ρ = 100 µC/m3…

A: The formula can be derived by using Gauss's Law ∮E→.dS→ = qenclosed ∈0....................(1)…

Q: A small plastic ball of mass m = 2.00 g is suspended by a string of length L = 20.0 cm in a uniform…

A: The free body diagram,

Q: A 1.00-g cork ball having a positive charge of 2.00 mC is suspended vertically on a 0.500-m-long…

A: (a). the acceleration is

Q: A small plastic ball of mass m = 2.00 g is suspended by a string of length L = 20.0 cm in a uniform…

A: The below figure represents the free body diagram of the ball.

Q: A thin rod of length ℓ and uniform charge per unit length λ lies along the x axis as shown in Figure…

A: Given data: Length of the rod = l Uniform charge per unit length =λ

Q: A charged cork ball of mass m is suspended on a light string in the presence of a uniform electric…

A: Given data: The mass of cork ball is: m The uniform electric field is: E = Aî + BĴ The tension in…

Q: 43. •• CALC Figure P23.43 shows a thin rod of length L with total charge Q. a. Find an expression…

A:

Q: •• INT An electron is launched at a 45° angle and a speed of 5.0 x 10° m/s from the positive plate…

A: Given value--- Launch angle = 45 degree.  speed = 5× 106 m/s. Range = 4 cm. We have to find--- a.…

Q: An insulating rod having linear charge density À = 52.0 uC/m and linear mass density u = 0.100 kg/m…

A: Given data: The linear charge density is λ=52×10-6 C/m The linear mass density is μ=0.1 kg/m The…

Q: A homogeneously charged thin rod is bent to become part of a circle of radius R. spring If the…

A: When homogeneously charged thin rod is bent to become part of a circle of radius R then it behaves…

Q: Careful measurement of the electric field at the surface of a black box indicates that the net…

A: Magnitude of Flux is given by Φo = 9.0 kN-m2/C  εo = 8.854×10-12 C2/N-m2

Q: Three identical charges (q = -5.0 μC) lie along a circle of radius 2.0 m at angles of 30°, 150°, and…

A: the total electricfield along horizontal direction is,

Q: Once you know the exact electric dipole moment of a given electric dipole, which of the following…

A:

Q: The spherical dielectric shell of inner radius a and outer radius b has the polarization vector P =…

A: The vector derivative in spherical coordinate system is given as-∇.A=1r2∂∂r(r2Ar) +…

Q: A metal sphere of radius 10 cm carries a charge of +2.0µC uniformly distributed over its surface.…

A: Given values: Radius, R=10 cm Charge, q=+2.0 μC Distance from the surface of the sphere, d=5.0 cm

Q: The electric field 20 mm to the right from a certain charge has a magnitude of 1.0 x 10^5 N/C and is…

A: Given The electric field at r = 20 mm is E=1×105 N/C. The distance at which electric field is…

Q: A particle of mass 5 grams and charge 44 µC is projected with speed of 50 m/s on a smooth horizontal…

A:

Q: (a) An electron is moving east in a uniform electric field of 1.50 N/C directed to the west. At…

A: (given) Uniform electric field (E) of an electron = 1.50 N/C                          Velocity of an…

Q: A 8.20 μC charged 1.00 g cork ball is suspended vertically on a 1.100 m long light string in the…

A:

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…

A: Let the mass of the block be denoted by m. When the block carrying charge Q is subjected to electric…

Q: A 1.00-g cork ball having a positive charge of 2.00 μC is suspended vertically on a 0.500-m-long…

A: Given data: The mass of the cork ball is m=0.001kgm=0.001kg Electric field E=105N/CE=105N/C…

Q: In Figure P15.31, determine the point (other than infinity) at which the total electric field is…

A: Electric field points towards the negative charge and away from the positive charge. Since the…

Q: A small 1.45 g plastic ball that has a charge q = 1.35 C is suspended by a string that has a length…

A:

Q: Q6: The bob of a simple pendulum has mass 2 g and a charge of 5.0 C. It is at rest in a uniform…

A:

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

A: Mass of the sphere,

Q: Given a conducting semi-circle with radius r = 5 [cm] with a charge Q = -3 [C] uniformly distributed…

A:

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

A: Given:

Q: A particle with unknown mass m and charge g is initially moving at constant velocity v = 4 x 10° n…

A:

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.