Physics for Scientists and Engineers: Foundations and Connections
Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN: 9781133939146
Author: Katz, Debora M.
Publisher: Cengage Learning
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Chapter 31, Problem 3PQ
To determine

The reaction of the ball at the three different locations.

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A thread is tied to a 2.50-gram pith ball and attached to the ceiling at a location of a uniform electric field with an intensity of 5.00x102 N/C. The pith ball experiences a force which causes it to deflect from an otherwise vertical alignment by an angle of 12.6° from the vertical. Use a free-body diagram and electrostatic principles to perform the following calculations.a. Determine the force of gravity acting upon the pith ball.b. Determine the vertical component of the tension force of the thread.c. Determine the horizontal component of the tension force of the thread.d. Determine the quantity of charge on the pith ball.e. What type of charge - positive or negative - does the pith ball possess?
A uniform electric field of magnitude E = 36 N/C points along the x-axis. A circular loop of radius R = 21 cm is centered at the origin with the normal to the loop pointing θ = 35 degrees above the x-axis. a.) Calculate the electric flux in units of N⋅m2/C that passes through the loop.  b.) To what angle in degrees relative to the x-axis should the normal of the loop be rotated so that the flux through the loop becomes Φ' = 0.41 N⋅m2/C?
A small positively charged plastic ball of mass m and charge q is suspended by a massless string of length L in a uniform electrical field E as shown in the attached image. The ball is in equilibrium when the string makes an angle of θ with the vertical. Note that the ball is under the influence of both the electric field E and the earth's gravitational force g. a. Write an equation for the horizontal electrical force acting on the ball in terms of the relevant variables provided above b. Write an equation for the tension T in the string, using any or all of the relevant variables provided above and/or any relevant constants (g, G, k). Include a sentence explaining the reasoning behind your equation (there are two possible ways to set up this equation).

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Physics for Scientists and Engineers: Foundations and Connections

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