** Matt is wearing Rollerblades. Beth pushes him along a hallway with a large spring, keeping the spring compressed and consequently the force that the spring exerts on Matt constant at all times They conduct several experiments in which Matt starts from rest and travels 12.0 m while carrying objects of different mass in his backpack, recording the time interval for each trip. Their data are shown in the table at right Added mass (kg) Time interval (s) 0 19.0 3.0 19.4 6.0 19.9 9.0 20.3 12.0 20.8 15.0 21.2 (a) Draw a force diagram for Matt and use it to explain why he is moving with a constant acceleration (b) Two physical quantities that are not listed in the table also affect Matt's motion Determine these two quantities using the data above (Hint: This problem requires linearization. See Example 3.8for help.)
** Matt is wearing Rollerblades. Beth pushes him along a hallway with a large spring, keeping the spring compressed and consequently the force that the spring exerts on Matt constant at all times They conduct several experiments in which Matt starts from rest and travels 12.0 m while carrying objects of different mass in his backpack, recording the time interval for each trip. Their data are shown in the table at right Added mass (kg) Time interval (s) 0 19.0 3.0 19.4 6.0 19.9 9.0 20.3 12.0 20.8 15.0 21.2 (a) Draw a force diagram for Matt and use it to explain why he is moving with a constant acceleration (b) Two physical quantities that are not listed in the table also affect Matt's motion Determine these two quantities using the data above (Hint: This problem requires linearization. See Example 3.8for help.)
** Matt is wearing Rollerblades. Beth pushes him along a hallway with a large spring, keeping the spring compressed and consequently the force that the spring exerts on Matt constant at all times They conduct several experiments in which Matt starts from rest and travels 12.0 m while carrying objects of different mass in his backpack, recording the time interval for each trip. Their data are shown in the table at right
Added mass (kg)
Time interval(s)
0
19.0
3.0
19.4
6.0
19.9
9.0
20.3
12.0
20.8
15.0
21.2
(a) Draw a force diagram for Matt and use it to explain why he is moving with a constant acceleration (b) Two physical quantities that are not listed in the table also affect Matt's motion Determine these two quantities using the data above (Hint: This problem requires linearization. See Example 3.8for help.)
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 3 Solutions
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