### Physics Problem: Angular Acceleration of Charged Balls in an Electric Field#### Problem Statement:Two 1.0 gram (g) balls are connected by a 2.0 centimeter (cm) long insulating rod of negligible mass. One ball has a charge of +10 nanocoulombs (nC), and the other has a charge of -10 nanocoulombs (nC). The rod is held in a uniform electric field of \(1.0 \times 10^4 \text{ N/C}\) at an angle of \(30^\circ\) with respect to the field and then released. Determine the rod's initial angular acceleration. The moment of inertia (I) of the system is given as \(2.0 \times 10^{-7} \text{ kg m}^2\).#### Explanation:1. **Mass and Charges**: - **Mass of each ball**: 1.0 gram (g), which is equivalent to \(1.0 \times 10^{-3}\) kilograms (kg). - **Charge of one ball**: +10 nanocoulombs (nC) which is \(+10 \times 10^{-9}\) coulombs (C). - **Charge of the other ball**: -10 nanocoulombs (nC) which is \(-10 \times 10^{-9}\) coulombs (C).2. **Rod Length**: - **Distance between the two balls**: 2.0 centimeters (cm), which is 0.02 meters (m).3. **Electric Field**: - **Magnitude**: \(1.0 \times 10^4 \text{ N/C}\) - **Angle with respect to the field**: \(30^\circ\)4. **Moment of Inertia (I)**: - \(2.0 \times 10^{-7} \text{ kg m}^2\)#### Objective: - Calculate the initial angular acceleration of the system once it is released.#### Solution Strategy:1. **Torque Calculation**: - The force on each charge due to the electric field can be calculated using \( \mathbf{F} = q \mathbf{E} \). - For the +10 nC charge: \( F_{+} = ( +10 \times 10^{-9} \text{

Answered: Image /qna-images/answer/8aa2c0c1-6e91-4576-82a7-1d8b90f9f5da.jpg

Two 1.0 (g) balls are connected by a 2.0 (cm) long insulating rod of negligible mass. One ball has a charge of +10 (nC), the other a charge of -10 (nC). The rod is held in a 1.0 × 104 (N/C) uniform electric field at an angle of 30° with respect to the field, then released. What is its initial angular acceleration? Consider I = 2.0 × 10-7 (kg m?).

Two 1.0 (g) balls are connected by a 2.0 (cm) long insulating rod of negligible mass. One ball has a charge of +10 (nC), the other a charge of -10 (nC). The rod is held in a 1.0 × 104 (N/C) uniform electric field at an angle of 30° with respect to the field, then released. What is its initial angular acceleration? Consider I = 2.0 × 10-7 (kg m?).

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

A square insulating plate, 2 meters by 2 meters, lies flat on the floor. A total charge Q=8 x 10-8 C is distributed uniformly on the sheet. A pith ball (a small non-conducting ball made of a light spongy plant material called "pith"), also with charge Q = 8 x 10-8 C, is fixed 50 cm directly above the center of the plate. Point A is located 5 cm from the plate, directly below the pith ball, as shown. ++ Pith ball 0.050 m XA 0.50 m a) What is the electric field at A due to the plate (magnitude and direction)? b) What is the electric field at A due to the pith ball (magnitude and direction)? c) What is the net electric field at A (magnitude and direction)? d) What force (magnitude and direction) would an electron experience if it were located at point A?
Can you please help me with this question? I appreciate your help!
A disk with radius R and uniform positive charge density o lies horizontally on a tabletop. A small plastic sphere with mass M and positive charge hovers motionless above the center of the disk, suspended by the Coulomb repulsion due to the charged disk. At what height h does the sphere hover? Express your answer in terms of the dimensionless constant v = 20 Mg/ (Qo). Express your answer in terms of some or all of the variables R and v. h = R- 1-v √(2-v)v Submit Part C h = Previous Answers Correct If M = 300 g, Q = 1.0 μC, R = 6.0 cm, and o = 10 nC/cm², what is h? Express your answer with the appropriate units. μᾶ Value 2 Units Submit Previous Answers Request Answer ? <
A cube is located with one corner at the origin of an x, y, z coordinate system. One of the cube's faces lies in the x, y plane, another in the y, z plane, and another in the x, z plane. In other words, the cube is in the first octant of the coordinate system. The edges of the cube are 2.21 m long. A uniform electric field is parallel to the x, y plane and points in the direction of the +y axis. The magnitude of the field is 8970 N/C. What is the electric flux through the cubical surface? Number i Units
An infinitely long rod lies along the x-axis and carries a uniform linear charge density λ = 5 μC/m. A hollow cone segment of height H = 27 cm lies concentric with the x-axis. The end around the origin has a radius R1 = 8 cm and the far end has a radius R2 = 16 cm. Refer to the figure. a. Consider the conic surface to be sliced vertically into an infinite number of rings, each of radius r and infinitesimal thickness dx. Enter an expression for the electric flux differential through one of these infinitesimal rings in terms of λ, x, and the Coulomb constant k. b. Integrate the electric flux over the length of the cone to find an expression for the total flux through the curved part of the cone (not including the top and bottom) in terms of λ, H, and the Coulomb constant k. Enter the expression you find. c. Calculate the electric flux, in N•m2/C, through the circular end of the cone at x = 0. d. Calculate the electric flux, in N•m2/C, through the circular end of the cone at x = H. e.…
Early in the 20th century, a leading model of the structure of the atom was that of English physicist J. J. Thomson (the discoverer of the electron). In Thomson’s model, an atom consisted of a sphere of positively charged material in which were embedded negatively charged electrons, like chocolate chips in a ball of cookie dough. Consider such an atom consisting of one electron with mass m and charge -e, which may be regarded as a point charge, and a uniformly charged sphere of charge +e and radius R. By that time time, it was known that excited atoms emit light waves of only certain frequencies. In his model, the frequency of emitted light is the same as the oscillation frequency of the electron (s) problems in the atom. What radius (in millimeter) would a Thomson-model atom need for it to produce red light of frequency 4.57 x 1014 Hz? (Don't express your answer in scientific notation)
An infinite sheet of charge is located in the y-z plane at x = 0 and has uniform charge denisity o1 = 0.62 µC/m². Another infinite sheet of charge with uniform charge density o2 = -0.29 µC/m² is located at x = c = 33 cm.. An uncharged infinite conducting slab is placed halfway in between these sheets ( i.e., between x = 14.5 cm and x = 18.5 cm). d a/2 a/2| a/2 1) What is Ex(P), the x-component of the electric field at point P, located at (x,y) = (7.25 cm, 0)? N/C Submit 2) What is oa, the charge density on the surface of the conducting slab at x = 14.5 cm? | µC/m² Submit 3) What is V(R) - V(P), the potentital difference between point P and point R, located at (x,y) = (7.25 cm, -18.5 cm)? Submit 4) What is V(S) - V(P), the potentital difference between point P and point S, located at (x,y) = (25.75 cm, -18.5 cm)? V submit + 5) What is Ex(T), the x-component of the electric field at point T, located at (x,y) = (40.25 cm, -18.5 cт)? N/C Submit R.
Two spherical, hollow conductors are concentrically nested as shown in the cross-sectional diagram below and electrically isolated from each other. A net charge of -3 nC is divided between the conductors, with a total of -12 nC on the inner conductor and +9 nC on the outer one. The charges are, of course, free to move between the surfaces within each shell but cannot move from one shell to the other. The inner conductor has an inner radius of a=2 cm, outer radius of b=3 cm. The outer conductor has an inner radius of c=6 cm, an outer radius of d=8 cm. a (a) In equilibrium, all of the excess charge is found on the surfaces. Why is there no charge between a and b, nor between c and d? (b) Determine the net charge on each surface (ie how much charge is there at r = a, at r = b, at r = c and at r= = d). (c) Is the charge on the outer surface equal to the net charge on the outer container, the net charge of the system, or some other amount? Explain briefly. (d) Find the surface charge…