PS1 Solutions - Physics 217 Problem Set 1 Solutions by...

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Physics 217: Problem Set 1 Solutions by Jolyon Bloomfield Due Friday, Jan 23rd, 2009 1 Purcell 1.1 The attractive gravitational force is F G = Gm 2 p r 2 and the repulsive electrostatic force is F E = e 2 4 π 0 r 2 . The ratio of these two is F G F E = 4 π 0 Gm 2 p e 2 = 7 . 4 × 10 - 37 . The electrostatic repulsion, using r = 10 - 13 cm, is 23 N. 2 Purcell 1.2 Balancing the Coulomb and gravitational forces, if e 2 / 4 π 0 r 2 = mg , then r = e 2 4 π 0 mg . Substituting in numbers, we find r = 4 . 80 m. 3 Purcell 1.3 Look at a single volleyball. There are three forces acting on it - gravitational, electrostatic, and tension. From the Coulomb force law, we can rearrange to obtain q = r 4 π 0 F where F is the force. To find out what the force should be, we need to calculate what the horizontal tension force is which
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