Some forms of cancer can be treated using proton therapy in...

Some forms of cancer can be treated using proton therapy in which proton beams are accelerated to high energies, then directed to collide into a tumor, killing the malignant cells. Suppose a proton accelerator is 4.70 m long and must accelerate protons from rest to a speed of 1.40 × 10^7 m/s. Ignore any relativistic effects and determine the magnitude of the average electric field that could accelerate these protons. The mass of a proton is 1.673 × 10^-27 kg and the charge of a proton is 1.602 × 10^-19 C.

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00:01 Hello, the question is taken from physics and the question is some form of cancer can be treated using the proton therapy in which the potent beams are accelerated to high energies then directed to collide into a tumor killing the malignant cells.

00:16 Suppose a proton accelerator is 4 .2 meter long so length is equal to 4 .2 meter and must accelerate the proton from rest to speed and velocity is equal to 2 .3 into 10 to the power 7 meter per second and they will kill this tumor ignore any relativeistic effect determine the magnitude of the average electric field that could accelerate this these photon determine the magnitude of the average electric field so what will be the value of electric field so mass of the proton is given that mp is equal to 1 .67 into 10 to the power minus 27 kg and charge on the proton is q is equal to 1 .602 into 10 to the power minus 19 column okay so let me read the statement once again then suppose a proton accelerator is 4 .0 bit along and must accelerate the proton from rest to a speed of 2 .3 to 10 to the power 7 meter per second ignore any relativistic effect determine the magnitude of the average electric field that could accelerate these proton determine the magnitude of the average electric field that could accelerate this proton mass of the proton is 1 .67 into 10 to the power minus 27 kg charge on the proton is 1 .6 into 10 to the power minus 19 column so we know that electric field we need to evaluate we know that electric field is equal to v by l that is already given to us okay and q into e that is the magnetic force and that and we know that potential energy is basically so instead of that l we already know so potential energy e capital v is equal to half m b square and e is equal to v by l so let us first evaluate v so that is half m v squared divided by e so this will give you the value of potential now substituting this value in the equation so we get e is equal to v is half m b square e into l so that will be half mass of the proton is 1 .67 into 10 to the power minus 27 velocity of the proton is 2 .3 into 10 to the power 7 whole square divided by charge on the proton is 1 .6 into 10 to the minus 19 and total length is equal to 4 .0 meter so from here the value of electric field is equal to let me evaluate so that is 0 .5 into 1 .67 e minus 27 multiply 2 .3 e 7 square of it now divided by 1 .6e 19 which is further divided by 4 .2...

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