GO Figure 22-40 shows a proton (р) on the central axis through a disk with a uniform charge density due to excess electrons. The disk is seen from an edge-on view. Three of those electrons are shown: electron e c at the disk center and electrons e s at opposite sides of the disk, at radius R from the center. The proton is initially at distance z = R = 2.00 cm from the disk. At that location, what are the magnitudes of (a) the electric field E c → due to electron e c and (b) the net electric field E → s , net due to electrons e s ? The proton is then moved to z = R /10.0. What then are the magnitudes of (с) E c → and (d) E → s , net at the proton's location? (e) From (a) and (c) we see that as the proton gets nearer to the disk, the magnitude of E c → increases, as expected. Why does the magnitude of E → s , net from the two side electrons decrease, as we see from (b) and (d)? Figure 22-40 Problem 13.
GO Figure 22-40 shows a proton (р) on the central axis through a disk with a uniform charge density due to excess electrons. The disk is seen from an edge-on view. Three of those electrons are shown: electron e c at the disk center and electrons e s at opposite sides of the disk, at radius R from the center. The proton is initially at distance z = R = 2.00 cm from the disk. At that location, what are the magnitudes of (a) the electric field E c → due to electron e c and (b) the net electric field E → s , net due to electrons e s ? The proton is then moved to z = R /10.0. What then are the magnitudes of (с) E c → and (d) E → s , net at the proton's location? (e) From (a) and (c) we see that as the proton gets nearer to the disk, the magnitude of E c → increases, as expected. Why does the magnitude of E → s , net from the two side electrons decrease, as we see from (b) and (d)? Figure 22-40 Problem 13.
GO Figure 22-40 shows a proton (р) on the central axis through a disk with a uniform charge density due to excess electrons. The disk is seen from an edge-on view. Three of those electrons are shown: electron ec at the disk center and electrons es at opposite sides of the disk, at radius R from the center. The proton is initially at distance z = R = 2.00 cm from the disk. At that location, what are the magnitudes of (a) the electric field
E
c
→
due to electron ec and (b) the net electric field
E
→
s
,
net
due to electrons es? The proton is then moved to z = R/10.0. What then are the magnitudes of (с)
E
c
→
and (d)
E
→
s
,
net
at the proton's location? (e) From (a) and (c) we see that as the proton gets nearer to the disk, the magnitude of
E
c
→
increases, as expected. Why does the magnitude of
E
→
s
,
net
from the two side electrons decrease, as we see from (b) and (d)?
Uniform Circular motion.
1. Mini Lecture
2. Let the position of a particle be given by:
(t) = Rcos (wt)i + Rsin (wt)j
3. Calculate the expression for the velocity
vector and show that the velocity vector is
tangential to the circumference of the circle.
4. Calculate the expression for the acceleration
vector and show that the acceleration vector
points radially inward.
5. Calculate the magnitude of the velocity and
magnitude of the acceleration, and therefore
show that
v2
a =
R
4. A ball is thrown vertically up, its speed.
slowing under the influence of gravity.
Suppose (A) we film this motion and play
the tape backward (so the tape begins with
the ball at its highest point and ends with it
reaching the point from which it was
released), and (B) we observe the motion of
the ball from a frame of reference moving
up at the initial speed of the ball. The ball
has a downward acceleration g in:
a. A and B
b. Only A
c. Only B
d. Neither A nor B
2. Consider a 2.4 m long propeller that
operated at a constant 350 rpm. Find the
acceleration of a particle at the tip of the
propeller.
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