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solution2_pdf - maini(nm7637 hw2 Shneidman(12108 This...

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maini (nm7637) – hw2 – Shneidman – (12108) 1 This print-out should have 7 questions. Multiple-choice questions may continue on the next column or page – fnd all choices beFore answering. 001 10.0 points ±orces between two objects which are in- versely proportional to the square oF the dis- tance between the objects include which oF the Following? I) Gravitational Force between two celestial bodies II) Electrostatic Force between two electrons III) Nuclear Force between two neutrons. 1. II and III only 2. III only 3. I only 4. I and II only correct 5. I, II, and III Explanation: I) Gravitational Force 1 r 2 . II) Electrostatic Force 1 r 2 . III) The nuclear Force is very strong com- pared to the gravitational Force and electro- static Force over a very short range; outside oF that range, however, it is negligible and cannot be proportional to 1 r 2 002 10.0 points Two identical small charged spheres hang in equilibrium with equal masses as shown in the fgure. The length oF the strings are equal and the angle (shown in the fgure) with the vertical is 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 . 25 m 4 0 . 03 kg 0 . 03 kg ±ind the magnitude oF the charge on each sphere. Correct answer: 5 . 27508 × 10 8 C. Explanation: Let : L = 0 . 25 m , m = 0 . 03 kg , and θ = 4 . L a θ m m q q ±rom the right triangle in the fgure above, we see that sin θ = a L . ThereFore a = L sin θ = (0 . 25 m) sin(4 ) = 0 . 0174391 m .
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