A proton (nucleus of the hydrogen atom) is being accelerated in a linear accelerator. In each stage of such an accelerator the proton is accelerated along a straight line at 3.6 x 1015 m/s². If a proton enters such a stage moving initially with a speed of 2.4 x 107 m/s, and the stage is 3.5 cm long, compute: (a) its speed at the end of the stage (b) the gain in kinetic energy resulting from the acceleration. Take the mass of the proton to be 1.67 × 10-27 kg and express the energy in electron volts, where 1 ev = 1.6 x 10-19 J.

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Topic: Work and Kinetic Energy. provide given, find, a diagram (if necessary) and show complete solution. thank you

A proton (nucleus of the hydrogen atom) is being accelerated in a linear accelerator. In each
stage of such an accelerator the proton is accelerated along a straight line at 3.6 x 1015 m/s².
If a proton enters such a stage moving initially with a speed of 2.4 x 107 m/s, and the stage
is 3.5 cm long, compute:
(a) its speed at the end of the stage
(b) the gain in kinetic energy resulting from the acceleration. Take the mass of the
proton to be 1.67 × 10-27 kg and express the energy in electron volts, where 1 ev =
1.6 x 10-19 J.
Transcribed Image Text:A proton (nucleus of the hydrogen atom) is being accelerated in a linear accelerator. In each stage of such an accelerator the proton is accelerated along a straight line at 3.6 x 1015 m/s². If a proton enters such a stage moving initially with a speed of 2.4 x 107 m/s, and the stage is 3.5 cm long, compute: (a) its speed at the end of the stage (b) the gain in kinetic energy resulting from the acceleration. Take the mass of the proton to be 1.67 × 10-27 kg and express the energy in electron volts, where 1 ev = 1.6 x 10-19 J.
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