Answer:
Height of tree = 78.35 meters.
Explanation:
We have
1 meter = 3.28 feet
That is
Here height of tree = 257 ft
Height of tree = 257 x 0.3048 = 78.35 m
Height of tree = 78.35 meters.
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Answer:
0.59 cm
Explanation:
height of cup (h) = 10 cm
radius of cup (r) = 10 cm
rate of change of water level (V') = 16π/3
rate of change of height (h) = 3 cm
the ratio of the height to radius (h:r) = 10:10
h/r = 10/10
h/r = 1
r=h
formula for volume of a volume (v) = .πh
substituting r=h into the formula above we have
v = .π. h = .π
differentiating the above we have
v' = 3(π)h' = π.h'
rearranging the above we have
h' = v' / (π)
where
- v' = rate of change of water level
- h' = rate of change of water level
- h = water level
h' = ((16 x π) / 3) ÷ ( π x )
h' = ((16 x 3.142) / 3) ÷ ( 3.142 x )
h' = 16.76 / 28.28
h' = 0.59 cm
Answer:
Explanation:
The speed of light in a vacuum is approximately 3×10⁸ m/s.
In water with η=1.33:
v = (3×10⁸ m/s) / 1.33
v = 2.26×10⁸ m/s
In glass with η=1.50:
v = (3×10⁸ m/s) / 1.50
v = 2.00×10⁸ m/s
Answer:
The magnitude of the force per unit of lenght between the wires are of F/L= 3.17 * 10⁻⁵ N/m.
Explanation:
d=0.0665m
I1=I2= 3.25A
μo= 4π * 10⁻⁷ N/A²
F/L= (μo * I1 * I2) / (2π * d)
F/L= 3.17 * 10⁻⁵ N/m