Work, Kinetic energy, and power question

AI Thread Summary
The discussion revolves around calculating the average power, force, and speed of protons in a linear accelerator designed for a master's physics project. The kinetic energy of each proton is specified as 11.3 keV, and the accelerator must emit 1.00 billion protons per second over a distance of 1.80 meters. The participant is attempting to apply relevant equations, including the work-kinetic energy theorem and power formulas, but is confused about unit conversions and calculations. They seek assistance in determining the total energy transmitted by the protons in one second. Clarifying these calculations is essential for completing the physics homework accurately.
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Homework Statement



To complete your master's degree in physics, your advisor has you design a small, linear accelerator capable of emitting protons, each with a kinetic energy of 11.3 keV. (The mass of a single proton is 1.67*10^(-27) kg.) In addition, 1.00*10^9 protons per second must reach the target at the end of the 1.80-m-long accelerator.

(a) What the average power must be delivered to the stream of protons?
_____μW

(b) What force (assumed constant) must be applied to each proton?
______ N

(c) What speed does each proton attain just before it strikes the target, assuming the protons start from rest?
_______ m/s

Homework Equations



Work - kinetic energy theorm
Work formula


The Attempt at a Solution



Ok so I said KE= Work total or KE=Fd. I have all of those to get the force for question 2, then plug it into my power equation P=Fv for number 1 then W=1/2mv^2 for number 3... but I'm all mixed up on the units... so any help on that would be great
 
Physics news on Phys.org
1 proton has 11.3eV and you have 1(10^9) protons/second, so in 1 second how much energy do 1(10^9) protons transmit?
 

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