In the design of a rapid transit system , it is necessary to balance the average speed of a train against the distance between stops. The more stops there are, the slower the train’s average speed. To get an idea of this problem, calculate the time it takes a train to make a 9.0-km trip in two situations: ( a ) the stations at which the trains must stop are 1.8 km apart (a total of 6 stations, including those at the ends): and ( b ) the stations are 3.0 km apart (4 stations total). Assume that at each station the train accelerates at a rate of 1.1 m/s 2 until it reaches 95 km/h. then slays at this speed until its brakes are applied for arrival at the next station, at which time it decelerates at −2.0 m/s 2 . Assume it stops at each intermediate station for 22 s.
In the design of a rapid transit system , it is necessary to balance the average speed of a train against the distance between stops. The more stops there are, the slower the train’s average speed. To get an idea of this problem, calculate the time it takes a train to make a 9.0-km trip in two situations: ( a ) the stations at which the trains must stop are 1.8 km apart (a total of 6 stations, including those at the ends): and ( b ) the stations are 3.0 km apart (4 stations total). Assume that at each station the train accelerates at a rate of 1.1 m/s 2 until it reaches 95 km/h. then slays at this speed until its brakes are applied for arrival at the next station, at which time it decelerates at −2.0 m/s 2 . Assume it stops at each intermediate station for 22 s.
In the design of a rapid transit system, it is necessary to balance the average speed of a train against the distance between stops. The more stops there are, the slower the train’s average speed. To get an idea of this problem, calculate the time it takes a train to make a 9.0-km trip in two situations: (a) the stations at which the trains must stop are 1.8 km apart (a total of 6 stations, including those at the ends): and (b) the stations are 3.0 km apart (4 stations total). Assume that at each station the train accelerates at a rate of 1.1 m/s2 until it reaches 95 km/h. then slays at this speed until its brakes are applied for arrival at the next station, at which time it decelerates at −2.0 m/s2. Assume it stops at each intermediate station for 22 s.
1. A charge of -25 μC is distributed uniformly throughout a spherical volume of radius 11.5 cm.
Determine the electric field due to this charge at a distance of (a) 2 cm, (b) 4.6 cm, and (c) 25 cm from
the center of the sphere.
(a) =
=
(b) E =
(c)Ẻ =
=
NC NC NC
1.
A long silver rod of radius 3.5 cm has a charge of -3.9
ис
on its surface. Here ŕ is a unit vector
ст
directed perpendicularly away from the axis of the rod as shown in the figure.
(a) Find the electric field at a point 5 cm from the center of the rod (an outside point).
E =
N
C
(b) Find the electric field at a point 1.8 cm from the center of the rod (an inside point)
E=0
Think & Prepare
N
C
1. Is there a symmetry in the charge distribution? What kind of symmetry?
2. The problem gives the charge per unit length 1. How do you figure out the surface charge density σ
from a?
1. Determine the electric flux through each surface whose cross-section is shown below.
55
S₂
-29
S5
SA
S3
+ 9
Enter your answer in terms of q and ε
Φ
(a) s₁
(b) s₂
=
-29
(C) Φ
զ
Ερ
(d) SA
=
(e) $5
(f) Sa
$6
=
II
✓
-29
S6
+39
Chapter 2 Solutions
Physics for Scientists and Engineers with Modern Physics
Human Biology: Concepts and Current Issues (8th Edition)
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