In the following problems, you don't need to understand the physics to complete the questions.Focus on the equations.(a) The force of gravity, F, between two masses, m and M, separated by a distance r, is given bywhere G is a constant. Write an equation of r in terms of other variables in the equationGmMF=2for F:r=(b) The electric force between two charges q=3·10¯6 units and Q=-4·10¯6 units separated by adistance,1d = 3-10-4 units, is given by F=where k=9. 10⁹ units.Without using a calculator, calculate the F.F=kqx²(c) Two positive electric charges, q and Q are separated by a distance d. Assume that q> Q> 0. Theposition x from charge q where the electric field zero is given by:=kQ(d-x)²kqQd²Solve for x in terms of the other variables. The quantity k is a constant. Solution 1 represents thelargest value of x.Hint: The solution can be simplified in many ways. The solutions accepted below have a formdSolution 1 =a-bSolution 2 =da+b√√You need to figure out the constants a and b in each case.Solution 1: x=Solution 2: x=

Answered: Image /qna-images/answer/0d25e305-c721-4e62-97f1-3380643eddfd.jpg

(a) The force of gravity, F, between two masses, m and M, separated by a distance r, is given by where G is a constant. Write an equation of r in terms of other variables in the equation GmM F= 2 for F: r= (b) The electric force between two charges q=3.10-6 units and Q=-4-10-6 units separated by a distance, d=310-4 units, is given by F= where k=9. 10⁹ units. Without using a calculator, calculate the F. F= (c) Two positive electric charges, q and Q are separated by a distance d. Assume that q> Q>0. The position x from charge q where the electric field zero is given by: kq x² kQ (d-x)² kqQ d²' Solve for x in terms of the other variables. The quantity k is a constant. Solution 1 represents the largest value of x. Hint: The solution can be simplified in many ways. The solutions accepted below have a form d -b√ 2 1 d a+b√ You need to figure out the constants a and b in each case. Solution 1: x= Solution 2: x= Solution 1 = Solution 2 = a-

(a) The force of gravity, F, between two masses, m and M, separated by a distance r, is given by where G is a constant. Write an equation of r in terms of other variables in the equation GmM F= 2 for F: r= (b) The electric force between two charges q=3.10-6 units and Q=-4-10-6 units separated by a distance, d=310-4 units, is given by F= where k=9. 10⁹ units. Without using a calculator, calculate the F. F= (c) Two positive electric charges, q and Q are separated by a distance d. Assume that q> Q>0. The position x from charge q where the electric field zero is given by: kq x² kQ (d-x)² kqQ d²' Solve for x in terms of the other variables. The quantity k is a constant. Solution 1 represents the largest value of x. Hint: The solution can be simplified in many ways. The solutions accepted below have a form d -b√ 2 1 d a+b√ You need to figure out the constants a and b in each case. Solution 1: x= Solution 2: x= Solution 1 = Solution 2 = a-

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter5: Electric Charges And Fields

Section: Chapter Questions

Problem 101P: In this exercise, you practice electric field lines. Make sure you represent both the magnitude and...

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