Sara is preparing for her birthday party. She rubs three balloons with her wool scarf, then hangs them from the gate with string, as shown in the figure. The balloons repel, and she notices that from directly below, each balloon is at a vertex of a horizontal, equilateral triangle with sides equal to S = 31.5 cm. Each balloon has equal mass of m = 1.86 g and carries equal charge. You can model each balloon as a particle, with its center L = 47.0 cm from the point of support. What is the charge (in µC) on one balloon?
Q: Two metal spheres, each of radius 3.2 cm, have a center-to-center separation of 3.0 m. Sphere 1 has…
A:
Q: In the future people will only enjoy one sport: Electrodisc. In this sport you gain points when you…
A: Initial charge on disk A = -8 μC Initial charge on disk B = -2 μC Initial charge on disk C = 5 μC…
Q: Problem 1: A small metal sphere, carrying a net charge of q₁ = +2.8 x 10-6 C, is held in a…
A: Charge is at rest.Charge is Mass of the second charge is Initial distance between charges is…
Q: Identical 45 µC charges are fixed on an x axis at x = ±3.2 m. A particle of charge q = -15 μC is…
A:
Q: potential difference
A: Given: Mass of bead is m=4.96 g Charge is q=17.2 μC The bead is accelerated from rest through V…
Q: One particle has a mass of 3.71 x 103 kg and a charge of +7.56 μC. A second particle has a mass of…
A: Here, we are using both law of conservation of energy and law of conservation of momentum.
Q: Two hard rubber spheres, each of mass m = 16.3 g, are rubbed with fur on a dry day and are then…
A: Given: Mass of hard rubber sphere, m=16.3 g Length of insulating string, L=5.50 cm Distance of…
Q: A capacitor is created by two metal plates. Each plate has dimensions L = 0.39 m and W = 0.38 m. The…
A: The objective of the question is to find the expressions for the magnitude of the electric field…
Q: In Rutherford's famous scattering experiments that led to the planetary model of the atom, alpha…
A: given - charge of alpha particle = +2e mass of alpha particle = 6.64 ×10-27 kg initial velocity =…
Q: Iwo metal spheres, each of radius 4.4 cm, have a center-to-center separation of 1.9 m. Sphere 1 has…
A:
Q: Two charges, +g and +2q, are held in place on the x axis at the locations x=-d and x = +d,…
A: For the given three charges representation it is mentioned that two charges, +q and +2q, are held on…
Q: Identical 56 µC charges are fixed on an x axis at x = ±2.5 m. A particle of charge q = -15 µC is…
A: (a) The potential at y=4.5 m due to the charges on the x axis is: Vy = 2(kQ/r) = 2kQx2+y2=2(9 x…
Q: A solid conducting sphere of radius ra is placed concentrically inside a conducting spherical shell…
A: page1
Q: Two metal spheres of identical mass m = 4.20 g are suspended by light strings 0.500 m in length. The…
A:
Q: Two 2.0-mm diameter beads, C and D, are 12mm mm apart, measured between their centers. Bead C has…
A:
Q: An insulating sphere has a positive charge of +1.50x10-9C uniformly spread throughout its volume.…
A: charge (Q) spread throughout insulating sphere= 1.50×10-9 C q = -2.3×10-6 Cmass (m) = 1.40×10-4 kg…
Q: Two positive, uniformly charged insulating spheres initially at rest are allowed to touch as…
A: Lets find the potential energy of the system. Potential energy linked between both the spheres are:-…
Q: Electric charge can accumulate on an airplane in flight. You may have observed needle-shaped metal…
A: The given total charge is We find out the electric potential and electric field.
Q: Two positively charged spheres are shown in the figure below. Sphere 1 has twice as much charge as…
A: Given:- The change q = 5.55 nC The distance between the charge q1 and q2 is d = 0.350 m and y =…
Q: A particle with charge q = +4e and mass m = 6.47 * 10^-26 kg is injected horizontally with a speed…
A: The objective of the question is to find out the time it takes for the particle to pass through the…
Q: Two identical conducting spheres A and B are initially electrically neutral. Sphere A is given a…
A: In this problem, we are dealing with conducting spheres and electric charges.When two conductors…
Q: A charged sphere with a mass of 8.35 g is hanging from a string attached to the ceiling. When…
A:
Q: A small ball with charge q = 12.8 μC and mass m = 0.065 kg is suspended from the ceiling by a string…
A: Given:charge, q = 12.8 μC mass, m = 0.065 kg string of length, L = 2 mElectric field E of…
Q: One particle has a mass of 3.71 x 103 kg and a charge of +7.56 μC. A second particle has a mass of…
A: The objective of the question is to find the initial separation between two charged particles. The…
Q: In Rutherford's famous scattering experiments that led to the planetary model of the atom, alpha…
A:
Q: An outside force, Fo, brings two small metal spheres, A and B, at rest from a long distance away to…
A: Part (1) Given: The distance between two spheres is r=0.9 m. The mass of first sphere is mA=5.2 g.…
Q: Four identical metallic objects carry the following charges: +1.80, +6.49, -4.30, and -9.07C. The…
A:
Q: A charged sphere with a mass of 8.35 g is hanging from a string attached to the ceiling. When…
A: Given, potential difference between the plates of parallel plate capacitor, ΔV = 6.35 mV mass of the…
Q: An infinite wire (R = 0.05 c m) is charged to λ = 2.5 μ C / c m. An electron is knocked out of the…
A:
Q: Two hard rubber spheres, each of mass m - 14.9 g, are rubbed with fur on a dry day and are then…
A:
Q: A small metal sphere, carrying a net charge of qt= +7.5 mC, is held in a stationary position by…
A: Write the given values of this problem. q1=+7.5 mC or +7.5×10-3 Cq2=+3 mC or+3×10-3 Cm=2 g or 2×10-3…
Q: An alpha particle with kinetic energy 11.0 MeV makes a head-on- collision with a lead nucleus at…
A: We can find the distance of the closest approach of the two particles. At the point of the closest…
Q: Two hard rubber spheres, each of mass m = 14.9 g, are rubbed with fur on a dry day and are then…
A: Page 1
Q: A student is trying to build a home-made capacitor. He uses two 1.0 cm x 1.0 cm aluminum foil as the…
A: Area of plate, A=1.0 cm × 1.0 cm Spaced between plate , d=0.40 cmVoltage = 3.0 V
Q: 1. Electrons start from rest and are accelerated east by two plates (parallel to the north/south…
A: Given: Mass of…
Q: dentical 42 μC charges are fixed on an x axis at x = ±3.4 m. A particle of charge q = –20 μC is then…
A: Given: Q1 = 42 μC Q2 = -42 μC q = -20 μC OA=OB = 3.4 m OP = y m OQ = 4.5 m
Q: The image shows three charges fixed in place. The distance in the image is ? = 0.2 m and the charge…
A:
Q: Two hard rubber spheres, each of mass m = 16.3 g, are rubbed with fur on a dry day and are then…
A:
Trending now
This is a popular solution!
Step by step
Solved in 4 steps with 6 images
- A capacitor is composed of two metal plates. The two plates have the dimensions L = 0.11 m and W = 0.56 m. The plates have a distance between them of d = 0.1 m, and are parallel to each other. Part (a) The plates are connected to a battery and charged such that the first plate has a charge of q. Write an expression for the magnitude of the electric field, |E|, halfway between the plates. Part (b) Input an expression for the magnitude of the electric field, |E2|, just in front of plate two. Part (c) If plate two has a total charge of q = -1 mC, what is its charge density, σ, in C/m2?A small, charged particle of mass 4.30 x 10-8g and charge +1.92 x 10-13C is sent toward a large fixed, flat sheet (0.50m x 0.50m) of metal that has a net charge of 1.33 x 10-6C. If the particle is moving with a speed of 18m/s when it is 8.00cm away from the sheet, does the particle strike the sheet? If so, what is the particle’s speed just before hitting the sheet? If the particle does not strike the sheet, what is its closest distance to the sheet?An old fashioned computer monitor accelerates electrons and directs them to the screen in order to create an image. How much equal charge should be placed on the Earth and the Moon so that the electrical repulsion balances the gravitational force of 1.98×10^20N ? Treat the Earth and Moon as point charges a distance 3.84×10^8m apart.
- Two small balls, each of mass 3.0 g, are attached to silk threads 30 cm long, which are in turn tied to the same point on the ceiling, as shown in the figure. When the balls are given the same charge Q, the threads hang at 0 = 3.0° to the vertical. What is the magnitude of Q?A stationary block has a charge of +6.0 x 10^-4 C. A 0.80-kg cart with a charge of +4.0 x 10^ -4 C is initially at rest and separated by 4.0 m from the block. Calculate the cart’s speed after it is released and moves along a frictionless surface to a distance of 10.0 m from the block.An electron is initially at rest at distance 0.15 m from a fixed charge Q = -5.00×10-9 C. The electron accelerates. How fast is it moving when the distance is 0.3 m?
- Two identical spheres are attached to silk threads of length L=0.60 m and hung from a common point as shown in the figure. Each sphere has a mass m=7.0 g. One sphere is given a charge q1, and the other is given a different charge q2, this causes the spheres to separate so that when the spheres are in equilibrium, each thread makes an angle = 20 degrees with the vertical. A small wire is then connected to the spheres, allowing charge to be transferred from one sphere to the other until the two spheres have equal charges, the wire is then removed. Each thread now makes an angle = 30 degrees. Determine the original charge (in micro-coulomb) of q1.One type of ink-jet printer, called an electrostatic ink-jet printer, forms the letters by using deflecting electrodes to steer charged ink drops up and down vertically as the ink jet sweeps horizontally across the page. The ink jet forms 35.0 μm-diameter drops of ink, charges them by spraying 800,000 electrons on the surface, and shoots them toward the page with a horizontal velocity of 17.0 m/s. Along the way, the drops pass through the long axis of two horizontal, parallel electrodes that are 6.0 mm long, 4.0 mm wide, and spaced 1.0 mm apart. The distance from the center of the electrodes to the paper is 1.90 cm. To form the letters, which have a maximum height of 6.0 mm, the drops need to be deflected up or down a maximum of 3.0 mm. Ink, which consists of dye particles suspended in alcohol, has a density of 800 kg/m³. 3 E D 80 C $ 4 R 888 F4 F V % 5 FS T ^ G 6 B Part A What electric field strength is needed between the electrodes to achieve this deflection? Express your answer with…+3µμC +3μC Charges of 3.0 µC are located at x = 0.0, y = 2.0 m and at x = 0.0, y = -2.0 m. Unknown charges, Q, are located at x = 4.0, y = 2.0 m and at x = 4.0, y = -2.0 m. The electric field at the origin, z = 0.0, y = 0.0 m, is 4.0 x 10³ N/C î (in other words in the r direction). Determine the unknown charge Q.
- One particle has a mass of 3.71 x 103 kg and a charge of +7.56 µC. A second particle has a mass of 7.17 x 103 kg and the same charge. The two particles are initially held in place and then released. The particles fly apart, and when the separation between them is 0.177 m, the speed of the 3.71 x 103 kg-particle is 126 m/s. Find the initial separation between the particles. V1,B V2,B 92 92 91 Number i Units "B 91You and your colleagues have been tasked with launching a weather balloon into the Earth's stratosphere via rocket ship. In order to reduce fuel usage to meet with newly imposed fuel-consumption regulations, you are hoping to use the electric interaction between charges to your advantage. You have decided on the design below. You are able to place two Q = 1.98 C charges in the rocket ship and into the launching platform so that they are separated by a distance of yo = 2.93 m. You are allowed enough fuel to boost the rocket to an initial speed of vo = 309 m/s without accounting for the extra boost from the charges. The rocket on its own has a mass of 2.095x104 kg. The more equipment you can attach to your weather balloon (which is inside the rocket), the better. What limit do you put on the mass of the weather balloon and attached equipment? You may want to know the formula for gravitational potential energy for an object of mass m and height h: Egray = mgh, where g=9.81 m/s?. Edge of…