Work, Kinetic energy, and power question

In summary, the task is to design a small, linear accelerator that can emit protons with a kinetic energy of 11.3 keV and deliver 1.00*10^9 protons per second to the target. To determine the average power required for the stream of protons, the equation P=Fv can be used, while the equation W=1/2mv^2 can be used to calculate the force applied to each proton and their speed before hitting the target. The units for the calculations may need to be converted to match the given values.
  • #1
Puk3s
3
0

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
 
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  • #2
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?
 

What is work?

Work is a measure of the force applied to an object over a certain distance. It is calculated by multiplying the force applied by the distance over which it is applied.

What is kinetic energy?

Kinetic energy is the energy possessed by an object in motion. It is calculated by multiplying half of the mass of the object by its velocity squared.

What is the relationship between work and kinetic energy?

Work done on an object is equal to the change in kinetic energy of that object. This means that when work is done on an object, its kinetic energy will either increase or decrease depending on the direction of the force applied.

What is power?

Power is the rate at which work is done. It is calculated by dividing the amount of work done by the time it takes to do it.

How are work, kinetic energy, and power related?

Work and power are both measures of energy, while kinetic energy is a specific type of energy. The relationship between these three concepts is that work is the transfer of energy, kinetic energy is the energy of motion, and power is the rate at which energy is transferred.

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