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

Question

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

__________?W

(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

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 9.3 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? __________?W (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

Explanation / Answer

a)

Average Power

Pav=(9.3*103*1.6*10-19)/(1*10-9)

Pav=1.488*10-6 W or 1.488 uW

b)

F=dKE/d =(9.3*103*1.6*10-19)/1.8

F=8.27*10-16 N

c)

Since

KE=(1/2)mv2

=>v=sqrt[2*KE/m]=sqrt[2*9.3*103*1.6*10-19/1.67*10-27]

v=1.335*106 m/s

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