SONAR stands for "sound navigation and ranging,” and it is used to map and explore the ocean floor.
D = vo t - at²/2
v = vo - at
40 m = vo · 7.10 - a · ( 7.10 )²/2
40 m = 7.10 vo - a· 50.41/2
40 m = 7.10 vo - 25.205 a
2.75 m/s = vo - 7.10 a ⇒ a = ( vo - 2.75 )/ 7.10
40 = 7.10 vo - 25.205 · ( vo - 2.75 ) / 7.10
40 = 7.1 vo - 3.55 vo + 9.7625
3.55 vo = 30.2375
vo = 30.2375 : 3.55 = 8.5176 m/s
Answer: the truck`s original speed is 8.5176 m/s.
Answer:
376966.991 Joules
Explanation:
Given that :
the height = 12 m
Let assume the tank have a thickness = dh
The radius of the tank by using the concept of similar triangle is :
The area of the tank = 
The area of the tank = 
The area of the tank = 
The volume of the tank is = area × thickness
= 
Weight of the element = 
where;
= density of water ; which is given as 10000 N/m³
So;
Weight of the element = 
Weight of the element = 
However; the work required to pump this water = weight × height rise
where the height rise = 12 - h
the work required to pump this water = (12 - h)
the work required to pump this water = 
We can determine the total workdone by integrating the work required to pump this water
SO;
Workdone = 
= 
= ![\mathbf{ 69.44 \pi[ \frac{12h^3}{3}- \frac{h^4}{4}]^{12}}_0} }](https://tex.z-dn.net/?f=%5Cmathbf%7B%2069.44%20%5Cpi%5B%20%5Cfrac%7B12h%5E3%7D%7B3%7D-%20%20%5Cfrac%7Bh%5E4%7D%7B4%7D%5D%5E%7B12%7D%7D_0%7D%20%7D)
= ![\mathbf{69.44 \pi [ \frac{12^4}{3}-\frac{12^4}{4}]}](https://tex.z-dn.net/?f=%5Cmathbf%7B69.44%20%5Cpi%20%5B%20%5Cfrac%7B12%5E4%7D%7B3%7D-%5Cfrac%7B12%5E4%7D%7B4%7D%5D%7D)
= ![\mathbf{69.44 \pi*12^4 [ \frac{4-3}{12}]}](https://tex.z-dn.net/?f=%5Cmathbf%7B69.44%20%5Cpi%2A12%5E4%20%5B%20%5Cfrac%7B4-3%7D%7B12%7D%5D%7D)
= 
= 376966.991 Joules
Hypotheses and theories related to each other since hypotheses are used in creating a theory. Hypotheses are explanations for some phenomenon that are still proposed. When these are validated and proved, they are accepted by the public as theories and are used to explain natural phenomenon.
The length of the wire used is 3.162 m
<h3>Resistivity of a material</h3>
The formula for calculating the power is expressed as;
P = V²/R
Determine th resistance
R = V²/P
Determine the resistance of the heating coil by substituting
R = (110²/500)
R = 12100/500
R = 24.2ohms
Determine the length of the wire
R = ρL/A such that;
L = RA/ρ
Substitute the given parameters
diameter = 0.5 mm = 0.0005m
radius = 0.0005/2 = 0.00025 m
Determine the area
A = πr²
A = π * 0.00025²
A = 1.96*10^-7 m²
Determine the length
L = (24.2 * 1.96*10^-7 / 1.50*10^-6) =
L = 3.162 m
Hence the length of the wire used is 3.162 m
The length of the wire used is 3.162 m
Learn more on resistivity here; brainly.com/question/24858512
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