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College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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please show full and complete procedure for parts b and c. Only HANDWRITTEN

Transcribed Image Text:Of the charge Q on a tiny sphere, a fraction a is to be transferred to a second, nearby sphere. The spheres can be treated as particles. (a)
What value of a maximizes the magnitude F of the electrostatic force between the two spheres? What are the (b) smaller and (c) larger
values of a that put F at half the maximum magnitude?
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- The voltage V (volts), current I (amperes), and resistance R (ohms) of an electric circuit like the one shown here are related by the equation V=IR. Suppose that V is 1 increasing at the rate of 3 volt/sec while I is decreasing at the rate of amp/sec. Let t denote time in seconds. Answer the following questions. 5 dV dt = dl dt dl b. What is the value of dt? volt/sec (Simplify your answer.) OA. O C. amp/sec (Simplify your answer.) c. What equation relates to dR dt dR dV dt dt dR dt 1 dV dl +V- I dt dt dl dv =1+VdT dt dl and dt? OB. O D. d. Find the rate at which R is changing when V = 40 volts and 1= 4 amp. Is R increasing or decreasing? R is changing at ohm/sec. (Simplify your answer.) Is R increasing or decreasing? dR dt dR dt = 1 dv I'dt 1 (dV 1 dt V dl I dt F R wwwarrow_forwardThe relationship between the length of a pendulum L and the time T for one complete oscillation can be determined from the data in the table to the right. a. Find the least squares line equation and graph it simultaneously with the data points, with L as the horizontal axis and T as the vertical axis. Does it seem to fit the data? b. Find the correlation coefficient and interpret it. Does it confirm your answer to part a? L (ft) T (sec) 1.0 1.13 1.5 1.36 2.0 1.57 2.5 1.76 3.0 1.92 3.5 2.08 4.0 2.22arrow_forwardA supposedly gold nugget displaces 18.1 mL of water and has a mass of 348 g. Part A Calculate the density of the nugget. Express your answer to three significant figures and include the appropriate units.arrow_forward
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