How Long Does It Take an Electron to Accelerate to a Specific Speed?

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To determine how long it takes for an electron to accelerate from an initial speed of 1.43 * 10^5 m/s to a final speed of 7.47 * 10^5 m/s under an acceleration of 2.3 * 10^14 m/s², relevant equations from kinematics must be applied. The first step involves using the formula v = u + at, where v is the final velocity, u is the initial velocity, a is acceleration, and t is time. After calculating the time, the distance traveled can be found using the equation s = ut + 0.5at². The forum emphasizes that users should demonstrate their understanding and attempt the problem before seeking complete solutions. Engaging with the equations and showing steps is crucial for effective learning.
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Homework Statement



an electron has an initial speed of 1.43 * 10^5 m/s^2
if it undergoes an acceleration of 2.3 * 10^14 m/s^2
how long will it take to reach a speech of 7.47 * 10^5 m/s?
Answer in units of s.

and then part B is asking
how far has it traveled in this time? answer in units of m

i need to know how to get the answer, step by step please.
 
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Hi minhas510, welcome to PF. We don't provide answers, just help. You need to show us the relevant equations and your thoughts on the problem. Our rules are quite clear:
On helping with questions: Any and all assistance given to homework assignments or textbook style exercises should be given only after the questioner has shown some effort in solving the problem. If no attempt is made then the questioner should be asked to provide one before any assistance is given. Under no circumstances should complete solutions be provided to a questioner, whether or not an attempt has been made.
So what equations do you think are relevant and how to you think you could possibly use them?
 
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
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