A projectile is fired up an incline (incline angle ϕ ) with an initial speed v i at an angle θ i with respect to the horizontal ( θ i > ϕ ) as shown in Figure P4.50. (a) Show that the projectile travels a distance d up the incline, where d = 2 v i 2 cos θ i sin ( θ i − ϕ ) g cos 2 ϕ (b) For what value of 0 i is d a maximum, and what is that maximum value? Figure P4.50
A projectile is fired up an incline (incline angle ϕ ) with an initial speed v i at an angle θ i with respect to the horizontal ( θ i > ϕ ) as shown in Figure P4.50. (a) Show that the projectile travels a distance d up the incline, where d = 2 v i 2 cos θ i sin ( θ i − ϕ ) g cos 2 ϕ (b) For what value of 0 i is d a maximum, and what is that maximum value? Figure P4.50
A projectile is fired up an incline (incline angle ϕ) with an initial speed vi at an angle θi with respect to the horizontal (θi > ϕ) as shown in Figure P4.50. (a) Show that the projectile travels a distance d up the incline, where
d
=
2
v
i
2
cos
θ
i
sin
(
θ
i
−
ϕ
)
g
cos
2
ϕ
(b) For what value of 0i is d a maximum, and what is that maximum value?
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 4 Solutions
Physics for Scientists and Engineers with Modern Physics, Technology Update
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