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a.) If a proton were released from rest at point A, which direction would it mov

ID: 1589915 • Letter: A

Question


a.) If a proton were released from rest at point A,
which direction would it move?  ---Select--- +x dir -x dir +y dir -y dir None of these.
how long would it take to move 3 m?  s

b.) If a proton instead enters this electric field at point B with a speed of 4 m/s in the +x direction,
how long does it take for it to travel 6 m in the +x direction?  s
during this time, how far is it deflected in the -y direction?  m

c.) Suppose the electric field given had NOT been uniform.
In general, would it be straightforward/possible to complete the parts above, using your techniques from Physics I?
Explain the limitations of the approach you took. (For these reasons, we will shortly develop an alternate approach.)

For this problem, you may neglect gravity as an influence. However, you should still find the techniques of projectile motion very useful The electric field shown below is uniform (constant in size and direction everywhere) with a size of 5.10 The electric field shown below is uniform (constant in size and direction everywhere) with a size of 5-109 N/C and in the -y direction. N/C and in the-y direction You will place protons into this field in turn (not simultaneously) at marked points A & B. L. a.) If a proton were released from rest at point A, which direction would it move?Select how long would it take to move 3 m? b.) If a proton instead enters this electric field at point B with a speed of 4 m/s in the +x direction, how long does it take for it to travel 6 m in the +x direction? during this time, how far is it deflected in the -y direction? C.) Suppose the electric field given had NOT been uniform. In general, would it be straightforward/possible to complete the parts above, using your techniques from Physics I? Explain the limitations of the approach you took. (For these reasons, we will shortly develop an alternate approach.)

Explanation / Answer

E = 5*10^-9 N/C
(A)
It will move downwards, towards the direction of Electric Field.
- Y Direction.

Acceleration of the proton, a = F/m
a = (q*E)/m
a = (1.6*10^-19 *5*10^-9 )/ (1.67 * 10^-27) m/s^2
a = 0.479 m/s^2

Initial Velocity, u = 0
Distance, s = 3 m
s = u*t + 1/2at^2
3 = 0 +1/2* 0.479 * t^2
t = 3.54 s
Time, t = 3.54 s


(b)

Speed in x direction, vx = 4 m/s
Distance, s = 6 m
Time, t = Distance/speed
t = 6/4 s
t = 1.5 s

Time taken to travel 6m , in +x direction, t = 1.5s

Deflection in -Y Direction,
Acceleration in -ve Y direction, ay =0.479 m/s^2
S = u*t + 1/2 * at^2
S = 0 +1/2 * 0.479 *1.5^2
S = 0.539 m
Deflection in -ve Y Direction, S = 0.539 m


(c) No,If the Electric Field had not been uniform, Force would differ on the proton & thus Acceleration will not be constant.