1) First of all, let's find the resistance of the wire by using Ohm's law:
where V is the potential difference applied on the wire, I the current and R the resistance. For the resistor in the problem we have:
2) Now that we have the value of the resistance, we can find the resistivity of the wire
by using the following relationship:
Where A is the cross-sectional area of the wire and L its length.
We already have its length
, while we need to calculate the area A starting from the radius:
And now we can find the resistivity:
Answer:
Pumping a well lowers the water level around the well to form a cone of depression in the water table. If the cone of depression extends to other nearby wells, the water level in those wells will be lowered. The cone develops in both shallow water-table and deeper confined-aquifer systems.
Explanation:
One very handy electrical formula is
Power dissipated by a resistance = (Voltage)²/(resistance) .
24 kilowatts = (240 v)² / Resistance
Multiply each side by (Resistance):
(Resistance) x (24 kilowatts) = (240 v)²
Divide each side by (24 kilowatts):
Resistance = (240 v)² / (24,000 watts)
Resistance = (57,600 / 24,000) (volt² / volt · Amp)
Resistance = 2.4 (volt/Amp)
Resistance = 2.4 Ohms
The formula that can be used to show that the speed of the stone when it hits the ground is 32 m/s is v = u + at
According to equations of motion,
v = u + at
v = Final velocity
u = Initial velocity
t = Time
a = Acceleration due to gravity
t = 3.2 s
a = 10 m / s²
v = 0 + ( 10 * 3.2 )
v = 32 m /s
Equations of motion are used to describe the position of a moving object in a constantly accelerated manner. The position can be described using acceleration, velocity, displacement and time.
Therefore, the formula that can be used to show that the speed of the stone when it hits the ground is 32 m/s is v = u + at
To know more about equations of motion
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<1, 2, 3> x (7.6 <-5.3, -4.8, -3.9>) x stands for cross product
What does the above notation mean?
Multiply 7.6 to each component of the velocity vector to obtain the linear momentum vector. Find the cross product of the position vector and the linear momentum vector. That gives you the angular momentum vector.
7.6 * -5.3 = -40.28
7.6 * -4.8 = -36.48
7.6 * -3.9 = -29.64
Cross Multiplication
-40.28 1 = -80.56 - (-36.48)
-36.48 2
-40.28 1 = -120.84 - (-29.64)
-29.64 3
-36.48 2 = -109.44 - (-59.28)
-29.64 3
answer is (-91.2) - (50.16) + 117.04 = -24.32