Calculate the proton’s initial kinetic energy.?

Question

1) An infinitely long line of charge has linear charge density 5.50×10−12 C/m. A proton (mass 1.67×10−27 kg , charge 1.60×10−19 C ) is 17.0 cm from the line and moving directly toward the line at 1000 m/s.a) Calculate the proton’s initial kinetic energy.b)How close does the proton get to the line of charge?

Mr. Toni Zulauf Sr. · Accepted Answer

A) Protons mass: 1.67 x 10^-27kg V= 1000 m/sK.E= 1/2*m*v^2 =0.5*1.67*10^-27kg*(1000)^2 = 8.35*10^-22 JA) The proton’s initial kinetic energy is 8.35*10^-22 J

Mr. Toni Zulauf Sr. · Answer

kinetic energy = 0.5mv^2 K.E= 0.5* 91.67*10^-27 ) *100^2

Mr. Toni Zulauf Sr. · Answer

For a given velocity, maximum range R = v^2 / g and for a given range this is the minimum velocity => Minimum velocity, v = √(Rg) = √(98*9.8) = 31 m/s => Minimum KE = (1/2)*(0.8)*(31) J = 12.4 J Average force = 12.4/2 = 6.2 N You can use this method to work out the other two cases.

Mr. Toni Zulauf Sr. · Answer

For the best answers, search on this site https://shorturl.im/avFxKbrandon, “How long does the proton get to the line of charge? ” Is English your second language? This question makes no sense.

Mr. Toni Zulauf Sr. · Answer

________________________________________K.E of proton =0.5mv^2= 8.35*10^-22 JA) The proton’s initial kinetic energy is 8.35*10^-22 J_________________________——–Electric field due to a line of charge = E=2k*lembda/r dU = -Edr= -(2k*lembda/r)drPotential difference = U2-U1 = integral -(2k*lembda)ln(r2/r1)____________________________________…Suppose proton stops at x m from line of chargeWork done by electric field = kinetic energywork =q(U2 -U1)=KE1.6*10^-19*(-2k*lembda)ln(r2/r1)=8.35*10^-… -(2k*lembda)ln(r2/r1) = 8.35*10^-22 /1.6*10^-19ln(r2 / r1) = – 5.21875*10^-3 / 2k*lembdaln(r2/r1) = – 5.21875*10^-3/2k*lembdaln(r2/r1) = – 5.21875*10^-3/2*9*10^9*5.5*10^-12ln(r2/r1) = – 0.0527146ln(r2 /r1) = -0.0527146(r2 /r1) = 0.9486r2 = 0.17 *0.9486=0.16127mB) The proton gets up to 16.127 cm or 0.16127 m from the line of charge____________________________________________

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Calculate the proton’s initial kinetic energy.?

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