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At what distance is the electrostatic force between two protons equal to the weight of one proton?

12 $\mathrm{cm}$

Physics 102 Electricity and Magnetism

Chapter 18

Electric Charge and Electric Field

Cornell University

University of Michigan - Ann Arbor

McMaster University

Lectures

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So the question here is to find the distance at which electrostatic forces equal to weight off the proton electrostatic force equal to weight of the proton that is gravitational force on the proton Electrostatic forces given by one divided by full pie. Absolutely not Times human que tu divided by distance, squared equal to myself Proton times gravity. So we're supposed to find the distance that is our square. So let's simplify this. A question in this case are square is equal to one divided by full pie. Absolutely not Cumin and cute too. Uh, say that is charge off a proton. That's, you know, to desk u P squared divided by mpg. Now all we have to do is substitute the values nine times 10 power nine times Kill Ping, that is charge of proton is 1.6 times 10 power negative 19 squared, divided by mass of the proton is given by 1.67 times 10 power negative 27 kilos and as we know, gravity is 9.8. Now let's perform this calculation So nine times 1.6 square divided by 1.67 divided by 9.8 so the valley off our square is equal to 1.4 one. Time's a factor here, which is 10 power negative 38 in the numerator on 10 power Negative 27 in the denominator which makes it 10 power 11 in the numerator. Also, there is a factor off. 10 power huzzah to nine. Oh, Mrs Chen, Power negative 11 Also 10 power positive nine which I cannot ignore. So the value is one point for one times 10 power negative too. On now we will take the square root The square root off 1.41 is given by one point 19 times 10 power. Negative one, This is ask. You're saying this is zero point 12 So since I took the square root I should right here and square root square root and are and this is our so the value here is 0.12 meters which is equal to 12 centimeters. So the protons should be held at the distance 12 centimeters apart from each other so that the force off electrostatic field is equal to wait. One proton

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