(II) A thin cylindrical shell of radius R 1 is surrounded by a second concentric cylindrical shell of radius R 2 (Fig. 22–35). The inner shell has a total charge + Q and the outer shell − Q . Assuming the length ℓ of the shells is much greater than R 1 or R 2 , determine the electric field as a function of R (the perpendicular distance from the common axis of the cylinders) for ( a ) 0 < R < R 1 , ( b ) R 1 < R < R 2 , and ( c ) R > R 2 . ( d ) What is the kinetic energy of an electron if it moves between (and concentric with) the shells in a circular orbit of radius ( R 1 + R 2 )/2? Neglect thickness of shells. FIGURE 22–35 Problems 35, 36, and 37.
(II) A thin cylindrical shell of radius R 1 is surrounded by a second concentric cylindrical shell of radius R 2 (Fig. 22–35). The inner shell has a total charge + Q and the outer shell − Q . Assuming the length ℓ of the shells is much greater than R 1 or R 2 , determine the electric field as a function of R (the perpendicular distance from the common axis of the cylinders) for ( a ) 0 < R < R 1 , ( b ) R 1 < R < R 2 , and ( c ) R > R 2 . ( d ) What is the kinetic energy of an electron if it moves between (and concentric with) the shells in a circular orbit of radius ( R 1 + R 2 )/2? Neglect thickness of shells. FIGURE 22–35 Problems 35, 36, and 37.
(II) A thin cylindrical shell of radius R1 is surrounded by a second concentric cylindrical shell of radius R2 (Fig. 22–35). The inner shell has a total charge +Q and the outer shell −Q. Assuming the length ℓ of the shells is much greater than R1 or R2, determine the electric field as a function of R (the perpendicular distance from the common axis of the cylinders) for (a) 0 < R < R1, (b) R1 < R < R2, and (c) R > R2. (d) What is the kinetic energy of an electron if it moves between (and concentric with) the shells in a circular orbit of radius (R1 + R2)/2? Neglect thickness of shells.
SARET CRKS AUTOWAY
12. A stone is dropped from the top of a cliff. It is seen to hit the ground below
after 3.55 s. How high is the cliff?
13. A ball is dropped from rest at the top of a building that is 320 m tall. Assuming
no air resistance, what is the speed of the ball just before it strikes the ground?
14. Estimate (a) how long it took King Kong to fall straight down from the top
of the Empire State Building (280m high), and (b) his velocity just before
"landing".
Useful equations
For Constant Velocity:
V =>
D
X = V₁t + Xo
For Constant Acceleration:
Vr = V + at
X = Xo+Vot +
v=V+2a(X-Xo)
\prom = V +V
V velocity
t = time
D Distance
X = Final Position
Xo Initial Position
V = Final Velocity
Vo Initial Velocity
a = acceleration
For free fall
Yf
= Final Position
Yo Initial Position
g = 9.80
m
$2
For free fall:
V = V + gt
Y=Yo+Vo t +
+gt
V,² = V₁²+2g (Y-Yo)
V+Vo
Vprom=
2
6
Solve the problems
A 11 kg weight is attached to a spring with constant k = 99 N/m and subjected to an external force
F(t) =-704 sin(5t). The weight is initially displaced 4 meters above equilibrium and given an
upward velocity of 5 m/s. Find its displacement for t> 0.
y(t)
ון
Chapter 22 Solutions
Physics for Scientists and Engineers with Modern Physics
College Physics: A Strategic Approach (3rd Edition)
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