A cyclotron accelerates a proton to a final speed of 3 xx 10^(7) ms^(-1) which is initially at rest. Find how much work is done on the proton by the electrical force of the cyclotron. Mass of the proton is 1.67 xx 19^(-27) kg.

A cyclotron accelerates a proton to a final speed of 3 xx 10^(7) ms^(-

1.	A cyclotron accelerates a proton to a final speed of 3 xx 10^(7) ms^(-1) which is initially at rest. Find how much work is done on the proton by the electrical force of the cyclotron. Mass of the proton is 1.67 xx 19^(-27) kg.
Answer» Solution :Mass of proton `m = 1.67 xx 10^(-27)` kg , INITIAL velocity of proton u = 0 FINAL velocity of proton `v = 3 xx 10^(7) ms^(-1)` WORK done by the force on the proton = Kinetic energy gained `therefore` Work done `W = (1)/(2) mv^(2) = (1)/(2) xx 1.67 xx 10^(-27) xx (3 xx 10^(7))^(2) therefore W = 7.515 xx 10^(-13)` J