Electron Accleration Calculation | Homework Solutions

AI Thread Summary
The discussion revolves around calculating the acceleration of an electron subjected to a net force in an electric tube. The mass of the electron is given as 9.1 x 10^-31 kg, and the net force is 8.0 x 10^15 N over a distance of 2.0 cm. The acceleration can be calculated using the formula a = Fnet/m, resulting in a significant value. For part B, the user seeks guidance on determining the final velocity of the electron after traveling 2.0 cm, referencing kinematics equations for assistance. The conversation emphasizes the application of fundamental physics principles to solve the problem.
soulja101
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Homework Statement


In an electric tube, an electron of mass 9.1*10 to the power of negative 31 kg experiences a net force of magnitude of 8.0*10 to the power of 15 over a distance of 2.0cm.

A)calculate the magnitude of the electron's acccleration
B)assuming it started from rest, how fast would the electron be moving at the end of 2.0cm motion.

Homework Equations


Fnet=ma


The Attempt at a Solution


a=?
m=9.1*10 to the power of negative 31
d=2.0cm
Fnet-ma
a=fnet/m
=8.0*10 to the power of 15/.1*10 to the power of negative 31 kg

I didnt get how to question B)
 
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soulja101 said:

Homework Statement


In an electric tube, an electron of mass 9.1*10 to the power of negative 31 kg experiences a net force of magnitude of 8.0*10 to the power of 15 over a distance of 2.0cm.

A)calculate the magnitude of the electron's acccleration
B)assuming it started from rest, how fast would the electron be moving at the end of 2.0cm motion.

Homework Equations


Fnet=ma


The Attempt at a Solution


a=?
m=9.1*10 to the power of negative 31
d=2.0cm
Fnet-ma
a=fnet/m
=8.0*10 to the power of 15/.1*10 to the power of negative 31 kg

I didnt get how to question B)

Look here

https://www.physicsforums.com/showthread.php?t=110015

to find the 1-D kinematics equation that relates the change in velocity to a known acceleration over a known distance.
 
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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