A surveyor measures the distance across a river that flows straight north by the following method. Starting directly across from
a tree on the opposite bank, the surveyor walks distance, D = 130 m along the river to establish a baseline. She then sights across to the tree and reads that the angle from the baseline to the tree is an angle θ = 25°. How wide is the river?
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Answer:
Explanation:
The volume charge density is defined by ρ = (Equation A), where Q is the charge and V, the volume.
The units in the S.I. are , so we have to express the radius in meters:
inner radius =
outer radius =
Now, we know that the volume of the sphere is calculated by the formula:
, and as we have an spherical shell, the volume is calculated by the difference between the outher and inner spheres:
V = , where
is the outer radius and
is the inner radius.
Replacing the volume formula in the Equation A:
ρ =
ρ =
Replacing the values of the outer and inner radius whe have:
ρ =
ρ =