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1. 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 where G is a constant. Write an equation of r in terms of other variables in the GmM by F= 2 equation for F: r= (b) The electric force between two charges q=3.106 units and Q=-4.106 units separated by a distance, kqQ d² d = 3. 10-4 units, is given by F= - where k=9. 10⁹ units. Without using a calculator, calculate the F. F=

1. 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 where G is a constant. Write an equation of r in terms of other variables in the GmM by F= 2 equation for F: r= (b) The electric force between two charges q=3.106 units and Q=-4.106 units separated by a distance, kqQ d² d = 3. 10-4 units, is given by F= - where k=9. 10⁹ units. Without using a calculator, calculate the F. F=

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 68E
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1. 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 where G is a constant. Write an equation of r in terms of other variables in the GmM by F= I 2 equation for F: r= (b) The electric force between two charges q=3∙10-6 units and Q= −4. by a distance, -4.10-6 d = 3. 10-4 units, is given by F= kqQ d² where k=9. 10⁹ units. Without using a calculator, calculate the F. F= units separated
Transcribed Image Text:1. 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 where G is a constant. Write an equation of r in terms of other variables in the GmM by F= I 2 equation for F: r= (b) The electric force between two charges q=3∙10-6 units and Q= −4. by a distance, -4.10-6 d = 3. 10-4 units, is given by F= kqQ d² where k=9. 10⁹ units. Without using a calculator, calculate the F. F= units separated
(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 kQ x² (d-x)² = 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 Solution 1 = Solution 2 = d b√2/20 a-b d Q +b√2 a+b You need to figure out the constants a and b in each case. Solution 1: x= Solution 2: x=
Transcribed Image Text:(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 kQ x² (d-x)² = 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 Solution 1 = Solution 2 = d b√2/20 a-b d Q +b√2 a+b You need to figure out the constants a and b in each case. Solution 1: x= Solution 2: x=
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