For summertime fun, you decide to combine diving from a board with shooting a basketball through a hoop. (a) During several practice runs you stand at the end of a diving board and launch the basketball horizontally from a position 4.50 m above the water. If the average landing spot is 6.25 m horizontally from your initial position, what is the average launch speed? (b) Now you step off the diving board and launch the ball in order to make a basket in a hoop that is 3.75 m horizontally from the ball and 1.00 m above the water as shown in Figure 4-31 . At what time after stepping off the board should you launch the ball? Hint: Consider the time required for the ball to travel the required horizontal distance. (c) What are the horizontal and vertical components of the ball’s velocity at the instant of launch? Figure 4-31 Problem 79
For summertime fun, you decide to combine diving from a board with shooting a basketball through a hoop. (a) During several practice runs you stand at the end of a diving board and launch the basketball horizontally from a position 4.50 m above the water. If the average landing spot is 6.25 m horizontally from your initial position, what is the average launch speed? (b) Now you step off the diving board and launch the ball in order to make a basket in a hoop that is 3.75 m horizontally from the ball and 1.00 m above the water as shown in Figure 4-31 . At what time after stepping off the board should you launch the ball? Hint: Consider the time required for the ball to travel the required horizontal distance. (c) What are the horizontal and vertical components of the ball’s velocity at the instant of launch? Figure 4-31 Problem 79
For summertime fun, you decide to combine diving from a board with shooting a basketball through a hoop. (a) During several practice runs you stand at the end of a diving board and launch the basketball horizontally from a position 4.50 m above the water. If the average landing spot is 6.25 m horizontally from your initial position, what is the average launch speed? (b) Now you step off the diving board and launch the ball in order to make a basket in a hoop that is 3.75 m horizontally from the ball and 1.00 m above the water as shown in Figure 4-31. At what time after stepping off the board should you launch the ball? Hint: Consider the time required for the ball to travel the required horizontal distance. (c) What are the horizontal and vertical components of the ball’s velocity at the instant of launch?
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
Chemistry: An Introduction to General, Organic, and Biological Chemistry (13th Edition)
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