Two protons are aimed directly toward each other by a cyclotron accelerator with speeds of 2.50

Name: Two protons are aimed directly toward each other by a cyclotron accelerator with speeds of 2.50 × 10^5 m/s, measured relative to the earth.
Uploaded: 2022-09-24T12:38:38-08:00
Duration: 3 min 51 s
Channel: Sri K
Description: Two protons are aimed directly toward each other by a cyclotron accelerator with speeds of 2.50 × 10^5 m/s, measured relative to the earth.

Step 1: Identify the formula for the electrical force between two point charges. The formula is

Two protons are aimed directly toward each other by a...

Transcript

00:01 In this question we are given here two protons so in this question we are given here two protons are aiming to directly towards each other by a cyclotone accelerator so we are given here speed or we can say velocity we are given here so velocity right speed of a speed of cyclotone as a cyclotor accelerator so we are given here speed denoted by v which is equal to value is 2 .8 multiple by 10 to 5 meter per second this is the major related to the earth now we want to find the electrical force we want to find electrical maximum electrical force so we want to find value of force here value of force between these two protons with exert on each other so we are using the formula of f which is equal to k multiply by can write a e square divided by the distance between these two charges so distance between this is r square now first we will find value of r so we are given here value of charge so we know that value of charge e which is equal to 1 .6 multiply by 10 to minus 19 we can write 10 to minus 19 coulum and also we can write here a value of mass so value of mass is 1 .67 multiplied by 10 is to minus 27 kilogram so this is the value of mass m now we know that the kinetic energy which is equal to we know that initial kinetic energy which is equal to the potential energy final potential energy so we just substitute values so we can write here two multiple by one divided by two mv square which is equal to because we have two protons now which is equal to we can write a potential energy potential energy which is equal to k multiple by e squared divided by r now we want to find value of r so we just simplify this equation and we can write here r which is equal to k squared divided by mv square now we just substitute value into this formula so we can write r which is equal to value of k is 9 multiplied by 10 to 9 value of charges 1 .6 multiplied by 10 to minus 19 square divided by we can write here value of mass of proton 1 .6 7 multiple by 10 to minus 27 kilograms and which is substitute to value of velocity is 2 .8 multiplied 10 to 5 meter per second value of speed value of speed is 2 .8 multiplied 10 x to 5 now we just simplify this equation and we can write your answer is 1 .63 multiply by 10 x to minus 12 meter so this is the value of distance between these two charges now we want to find the maximum force...

Question

Two protons are aimed directly toward each other by a cyclotron accelerator with speeds of $2.50 \times 10^5$ m/s, measured relative to the earth.

Question

Two protons are aimed directly toward each other by a cyclotron accelerator with speeds of $2.50 \times 10^5$ m/s, measured relative to the earth.

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