Average Power and Work-Kinetic Energy Theorem problem

AI Thread Summary
To determine the average power required for a linear accelerator emitting protons with a kinetic energy of 8.2 keV, the mass of a proton (1.67 x 10^-27 kg) is essential for calculations. The speed of each proton just before impact can be found using the kinetic energy formula K=½mv², which leads to the necessary velocity for part (c). Once the speed is established, the protons' acceleration can be calculated, which is crucial for determining the constant force needed in part (b). The average power delivered to the stream of protons can then be calculated based on the number of protons emitted per second and their kinetic energy. This problem integrates concepts of work, energy, and motion in physics.
Keldroc
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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 8.2 keV. (The mass of a single proton is 1.67 x 10^-27 kg.) In addition, 1.00 x 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?
1. ? μW

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

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

Homework Equations


IL_194_6.jpg

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IL_194_5.jpg

[URL]http://upload.wikimedia.org/math/9/a/e/9aeac7ca01e03ffd4b80c513dbeb1b6a.png[/URL]Can someone help with this question? Thanks in advance
 
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You have the mass and the kinetic energy, and K=½mv². Find v to answer part (c).

From there you can find the protons' acceleration, which will help to
find the force in part (b).
 

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