Midterm 1 (Old) - oldmidterm 01 KANUNGO ANIL Due 11:00 pm...

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oldmidterm 01 – KANUNGO, ANIL – Due: Sep 18 2007, 11:00 pm 1 Question 1, chap 22, sect 2. part 1 of 1 10 points Two spheres fastened to “pucks” are rid- ing on a frictionless airtrack. Sphere “1” is charged with 1 nC, and sphere “2” is charged with 5 nC. Both objects have the same mass. 1 nC is equal to 1 × 10 9 C. As they repel, 1. sphere “2” accelerates 25 times as fast as sphere “1”. 2. sphere “1” accelerates 5 times as fast as sphere “2”. 3. sphere “2” accelerates 5 times as fast as sphere “1”. 4. sphere “1” accelerates 25 times as fast as sphere “2”. 5. they have the same magnitude of acceler- ation. 6. they do not accelerate at all, but rather separate at constant velocity. Question 2, chap 23, sect 1. part 1 of 1 10 points Three equal charges of 8 μ C are in the x - y plane. One is placed at the origin, another is placed at (0 . 0 , 16 cm), and the last is placed at (89 cm , 0 . 0). Calculate the magnitude of the force on the charge at the origin. The value of the Coulomb constant is 9 × 10 9 N m 2 / C 2 . Answer in units of N. Question 3, chap 22, sect 2. part 1 of 1 10 points Two identical small charged spheres hang in equilibrium with equal masses as shown in the figure. The length of the strings are equal and the angles with the vertical are identical. The acceleration of gravity is 9 . 8 m / s 2 and the value of Coulomb’s constant is 8 . 98755 × 10 9 N m 2 / C 2 . 0 . 09 m 6 0 . 03 kg 0 . 03 kg Find the magnitude of the charge on each sphere. Answer in units of C. Question 4, chap 23, sect 2. part 1 of 1 10 points A circular arc has a uniform linear charge density of 7 nC / m. The value of the Coulomb constant is 8 . 98755 × 10 9 N · m 2 / C 2 . 132 2 . 4 m x y What is the magnitude of the electric field at the center of the circle along which the arc lies? Answer in units of N / C. Question 5, chap 23, sect 1. part 1 of 1 10 points From the electric field vector at a point, one can determine which of the following? I) the direction of the electrostatic force on a test charge of known sign at that point; II) the magnitude of the electrostatic force exerted per unit charge on a test charge at that point; III) the electrostatic charge at that point.
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