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.
Puk3s
Messages
3
Reaction score
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
 
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?
 

Thread 'Errors and significant figures'

I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19. For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
View full post »
Thread 'A cylinder connected to a hanging mass'

Thread 'A cylinder connected to a hanging mass'

Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
View full post »

Similar threads

Kinetic Energy of Colliding Protons
2
Replies
54
Views
10K
Work, Kinetic energy, and power question any help?
Replies
5
Views
5K
Work energy KE theorem for a book being lifted up in a gravitional field
Replies
18
Views
2K
Finding kinetic energy and initial velocity of a cart over time
Replies
6
Views
2K
Work and kinetic energy comprehension question
Replies
4
Views
2K
Kinetic Energy for particles (alpha decay)
Replies
2
Views
3K
Kinetic Energy Needed for Proton Acceleration
Replies
8
Views
3K
Elastic collision with particles, find the kinetic energy
Replies
6
Views
3K
Calculating Speed of Protons in a Linear Accelerator: 530 MeV Kinetic Energy
Replies
20
Views
4K
What Is the Kinetic Energy of a Proton at 1/4 the Speed of Light?
Replies
3
Views
2K

Hot Threads

Recent Insights

Back
Top