Calculating Acceleration Time for an Electron

[slpnsldr]

Homework Statement

An electron is accelerated uniformly from rest to a velocity of 2.0x10^7m/s(E) over the displacement .10m(E).

How long does the electron take to reach its final velocity?

Homework Equations

This is what i want to know

The Attempt at a Solution

I know the answer, but can not figure out how to get it 1x10^-8

 

[rock.freak667]

Maybe try using one of the kinematic equations like v=u+at or s=ut+1/2at²

 

[Interceptor_1]

s=(u+v)/2*t
put u=0

 

[slpnsldr]

ok more precisely the problem is that i don't know acceleration or time. all the general equations i know, require either acceleration or time to figure out one or the other. So, not knowing either, how do I proceed?

and, don't those three equations require me to know time??

 

[lightgrav]

you almost know the average speed :
half the ending speed , because the starting speed was zero.

 

[benhou]

When you don't know how to proceed, it's better if you list all the know data. Like this:

$$v_{1}=0, v_{2}=..., \Delta d=..., a=?, \Delta t=?$$

Now, since you know v1,v2, Delta d, which formula can you use?

 

[slpnsldr]

of the 5 general equations for uniform acceleration that i know, all of the equations require us to know one of the two acceleration, or time.

 

[lightgrav]

well, if the equation doesn't have TIME in it , you'll never be able to solve for the time .

But don't you have an equation withOUT acceleration?

 

[benhou]

Interceptor has told you the answer.

 

[slpnsldr]

Ok, so if interceptors equation is,

s=(u+v)/2*t

s is Speed = 1x10^7
u is ? but = 0
v is Velocity = 2x10^7
t is time? = unknown

Which means I can't proceed because I have an equation that requires one of my unknowns.

Sorry for being so much trouble. But I am really havin a hard time with this lol.

 

[rock.freak667]

Ok, so if interceptors equation is,

s=(u+v)/2*t

s is Speed = 1x10^7
u is ? but = 0
v is Velocity = 2x10^7
t is time? = unknown

Which means I can't proceed because I have an equation that requires one of my unknowns.

Sorry for being so much trouble. But I am really havin a hard time with this lol.

s is displacement.

 

[benhou]

It's alright. By s=(u+v)/2*t, Interceptor meant, s for displacement, u for initial speed and v for final speed. u=0 because the electron started from rest; other than that, you know s and v. Therefore, you can solve for t.

 

[slpnsldr]

ummm.. t= ((u+v)/2)/s ? does that make sense? ahhhh I suck at this

 

[slpnsldr]

ahhhh Nice!

t=s/(u+v)/2

Thanks so much guys! My heros!