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How much work has to be done on a proton to accelerate it for thefollowing cases

ID: 1745609 • Letter: H

Question

How much work has to be done on a proton to accelerate it for thefollowing cases. (a) from rest to 0.06c
1 MeV

(b) from 0.8c to 0.81c
2 MeV

(c) from 0.9c to 0.91c
3 MeV

(d) from 0.99c to c(Select all that apply.)
4 It isnot possible to increase the speed to c.
Infiniteenergy source would be required.
Noenergy is required.
Einsteintheorized that this would happen spontaniously.
It ispossible to increase the speed to c. (a) from rest to 0.06c
1 MeV

(b) from 0.8c to 0.81c
2 MeV

(c) from 0.9c to 0.91c
3 MeV

(d) from 0.99c to c(Select all that apply.)
4 It isnot possible to increase the speed to c.
Infiniteenergy source would be required.
Noenergy is required.
Einsteintheorized that this would happen spontaniously.
It ispossible to increase the speed to c. 4 It isnot possible to increase the speed to c.
Infiniteenergy source would be required.
Noenergy is required.
Einsteintheorized that this would happen spontaniously.
It ispossible to increase the speed to c. 4 It isnot possible to increase the speed to c.
Infiniteenergy source would be required.
Noenergy is required.
Einsteintheorized that this would happen spontaniously.
It ispossible to increase the speed to c. 4

Explanation / Answer

Formula :       K = mc2( -1) Where = 1 / (1-2) =1 /(1-(v/c)2) mass of proton m = 1.67 x 10-27 kg Therefore workdone = Kf - K1 Initial kinetic energy = 0 So that Workdone = Kf   =mc2( - 1) Substitute values and solve. Initial kinetic energy = 0 So that Workdone = Kf   =mc2( - 1) Substitute values and solve.
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