Using SOH,CAH,TOA, we can calculate the height of the building by taking the sine of the launch angle (60°) and the distance traveled (65 m). The height of the building is 56.9 m.
What is SOH,CAH,TOA?SOH,CAH,TOA stands for Sine = Opposite/Hypotenuse, Cosine = Adjacent/Hypotenuse and Tangent = Opposite/Adjacent. This is a set of trigonometric ratios that can be used to solve for angles and lengths of sides of a right triangle. It is used when the angle and length of two sides of a right triangle are known, but the length of the third side needs to be calculated.
Calculation using SOH, CAH, TOA
The distance from the ground to the top of the building is 65 m and the angle is 60 degrees. the height (h) of the building.has to be found
Using the trigonometric ratio of Sine, calculate the height of the building:
Sin(60°) = Opposite/Hypotenuse
h/65 = sin(60°)
h = 65sin(60°)
h = 65(0.866)
h = 56.59 m
Therefore, the height of the building the projectile was launched to from the ground is 56.59 m.
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A 10 kg object dropped from a certain window strikes the ground in 2.0 s. Neglecting air resistance, a 5 kg object dropped from the same window strikes the ground in?
A 10 kg object dropped from a certain window strikes the ground in 2.0 s. Neglecting air resistance, a 5 kg object dropped from the same window strikes the ground in 1.41 seconds.
The time it takes an object to fall to the ground is determined by its initial velocity, which is zero, and its acceleration due to gravity, which is constant at 9.8 m/s² on the surface of the Earth.
The distance fallen can be calculated using the equation:
d = 1/2 × a × t²,
where d is the distance, a is acceleration and t is time.
We can assume that the height from which both the 10 kg and 5 kg objects were dropped is the same, so the distance fallen is the same for both. We can rearrange this equation to solve for time:
t = √(2d/a)
t = √(2 × d / 9.8)
t = √(2 × 2.0² / 9.8)
t = √(8 / 9.8)
t = 1.41 s
Therefore the 5 kg object strikes the ground in 1.41 seconds.
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An object is dropped from a height of 23 m. At what height will its kinetic energy and its potential energy be equal?
Answer:
Hi good morning sir I am not
if te steady heat flux conducted through this wall is 20 then show how one obtains the temperature distribution t(x)
The temperature distribution t(x) across a wall with steady heat flux conducted through it, t(x) = -Q/(2k) x² + (T2 - T1 + QL/2k)/L x + T1 - QL²/(4k).
To obtain the temperature distribution t(x) across a wall with steady heat flux conducted through it, we need to solve the one-dimensional heat conduction equation,
d²t(x)/dx² = -Q/k
Where t(x) is the temperature at position x, Q is the steady heat flux conducted through the wall, and k is the thermal conductivity of the wall material.
t(x) = -Q/(2k) x² + Ax + B
Boundary conditions,
t(0) = T1 and t(L) = T2
Where T1 and T2 are the temperatures at the two ends of the wall, and L is the length of the wall.
Using these boundary conditions,
A = (T2 - T1 + QL/2k)/L
B = T1 - QL²/(4k)
Substituting these values of A and B in the equation for t(x),
t(x) = -Q/(2k) x² + (T2 - T1 + QL/2k)/L x + T1 - QL²/(4k)
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8. using the information given in chapters 2 and 3, describe the conditions that induce brittle fracture in an otherwise ductile piece of metal.
Rapid deformation rates, cooler temperatures, the existence of a high stress concentration degree of stress, radiation damage, and corrosion can all result in brittle fracture (including hydrogen embrittlement).
What degree of temperature is considered?When temperatures exceed 90 degrees, you are in "hot" terrain from just a strictly thermometric perspective.
Is 37 temperature hot or cold?The average body temperature is between 36 and 37 degrees Celsius, however this varies based on age, exercise levels, time of day, and measuring method. Colds, the flu, and COVID-19 are examples of viral respiratory illnesses that can raise a person's temperature.
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In order to find the depth of a well, you drop a stone into it and time its fall. It hits the water after falling for 1.7s the depth of the well is about _____.
If the stone hits the water in the well after falling for 1.7s then the depth of the well is about 14.16m.
The time required by the stone to fall and reach the bottom of the well is 1.7s.
Now, we know from the equation of motion,
H = ut + 1/2at²
Where,
H is the depth of the well,
u is the initial speed of the well that is zero in our case,
t is the time taken by the stone to hits the water.
Now, putting all the values,
H = 0.5 x 9.8 x 1.7 x 1.7
H = 14.16 m.
The depth of the well is 14.16m.
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An airplane with an airspeed of 140 km/h lands on a runway where the wind speed is 40 km/h . What is the landing speed of the plane if the wind is head on? as well as If the wind is a tailwind, coming from behind the airplane? and lastly What would be the landing speed of the 140- km/h plane landing in a headwind of 140 km/h ?
When we use the concept of the resultant speed to obtain the landing speed we have it as 146 m/s.
What is the landing speed?We would need to resort to talking about the resultant speed in this context. We know that the speed that the airplane would use to land is what we call the resultant speed of the air plane as we have it here.
We can now say that;
Resultant speed =√ (140)^2 + (40)^2
= 146 m/s
Thus we see that the speed of the airplane when the airplane is found to be landing is about 146 m/s.
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A parallel plate capacitor with plates of area (A) and plate separation (d) is charged so that the potential difference between its plates is (V). While the capacitor is still connected to the power source and its plate separation is decreased to d/4, which statement is correct? The charge on the plates is decreased to one-fourth its original value. The capacitance is unchanged. The voltage between the plates is decreased to one-fourth its original value. The charge on the plates is increased four times its original value. The voltage between the plates is increased four times its original value. The charge on the plates is unchanged.
The correct statement is (d) The charge on the plates is increased four times its original value.
What is parallel plate capacitor?
A parallel plate capacitor is a type of capacitor that consists of two parallel conductive plates separated by a dielectric material. It is a type of capacitor used in electrical circuits to store electrical energy. The plates are usually made of metal and the dielectric material is usually a thin non-conductive material like paper or plastic. The size of the capacitor is determined by the distance between the plates and the dielectric material.
This is because the charge on the capacitor plates is proportional to the voltage across the plates and the capacitance, which is given by the formula C = ε_0 * A / d, where ε_0 is the electric constant and A is the area of the plates.
When the plate separation is decreased to d/4, the capacitance of the capacitor becomes C' = ε_0 * A / (d/4) = 4 * ε_0 * A / d, and thus the charge on the plates becomes Q' = C' * V = 4 * Q.
Therefore, The charge on the plates is increased four times its original value is the correct answer.
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What is a trench? Where would trenches typically be located?
Answer:
The deepest part of earth or oceans. They are most commonly found in oceans however
Explanation:
Calculate the de Broglie wavelength associated with an electron accelerated through a potential difference of 1 kV.
The de Broglie wavelength associated with an electron accelerated through a potential difference of 1 kV will be 1.242 nm.
de Broglie wavelength is λ
λ = hC/eV₀ [V₀ = 1 kV]
λ = (hC/e) (1/V₀) [hC/e = 12.42 × 10⁻⁷]
λ = (12.42 × 10⁻⁷) (1/10³)
λ = 1.242 × 10⁻⁹ m
λ = 1.242 nm
Therefore, the de Broglie wavelength associated with an electron accelerated through a potential difference of 1 kV will be 1.242 nm.
de Broglie wavelength is an essential concept while exploring quantum mechanics. The wavelength (λ) that is associated with an object in reference to its momentum and mass is learned as the de Broglie wavelength. A particle's de Broglie wavelength is inversely proportional to its force.
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What is the structure of the following statement? "Our city is plagued with polluted water, and until we pass stricter laws about dumping into the river, it is going to continue."
A. Cause and effect
B. Description
C. Problem and solution
D. Sequence
The structure of the statement is cause and effect.
option A is the correct answer.
Why is the statement "cause and effect"?The structure of the statement is "cause and effect" because it describes a situation where one thing (polluted water) is the result of another (lack of stricter laws about dumping into the river).
The statement suggests that the cause (lack of stricter laws) will continue to result in the same effect (polluted water) unless some action is taken to change the cause. In this way, the statement explains the relationship between the two events or situations and how one leads to the other.
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If a force of 160 ± 6 N is applied to an area of 24 ± 3 cm², determine the pressure and the uncertainty in its calculation?
Answer:
Explanation:
The pressure is calculated by dividing the force by the area:
P = F / A = 160 N / 24 cm² = 6.67 N/cm²
The uncertainty in the calculation of pressure can be determined by propagating the uncertainties in the force and area measurements. According to the formula for uncertainty propagation, the fractional uncertainty in the pressure calculation is:
ΔP / P = √((ΔF / F)^2 + (ΔA / A)^2)
Plugging in the values:
ΔP / P = √((6 N / 160 N)^2 + (3 cm² / 24 cm²)^2)
ΔP / P = √(0.0375) = 0.195
So the fractional uncertainty in the pressure calculation is 0.195 or 19.5%.
To find the absolute uncertainty in the pressure, multiply the fractional uncertainty by the pressure:
ΔP = P * ΔP / P = 6.67 N/cm² * 0.195 = 1.29 N/cm²
So, the pressure is 6.67 ± 1.29 N/cm².
Object x is dropped from a height of 65m at the same instant object y is thrown vertically upwards with a velocity of 5m^-1. Calculate the distance at which the two objects pass each other
The path travelled by a projectile is known as its trajectory. The distance at which the two objects pass each other is 16.9 m.
What is a projectile?Any object which is thrown into space and the only force acting on it is the force of gravity. The motion of a projectile is known as the projectile motion.
The height covered by the projectile from ground is:
h = ut - 1/2 gt²
h = 5t - 1/2 × 9.8 × t²
h = 5t - 4.9t² (1)
When projectile is thrown downward, u = 0
65 - h = 1/2 gt²
65 - (5t - 4.9t² ) = 4.9t²
65 = 5t
t = 65/5 = 13 s
h = 65t - 4.9t²
= 65 × 13 - 4.9 × 169
= 16.9 m
Thus the distance at which the two objects pass each other is 16.9 m.
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What are centripetal acceleration and centripetal force?derive their equations.
Answer:
Explanation:
Centripetal acceleration is the acceleration that points towards the center of a circular path and is responsible for keeping an object moving in a circular path. The equation for centripetal acceleration is:
a_centripetal = v^2 / r
where v is the speed of the object and r is the radius of the circular path.
Centripetal force is the force that acts on an object moving in a circular path and is directed towards the center of the circular path. It is equal to the product of the mass of the object and its centripetal acceleration. The equation for centripetal force is:
F_centripetal = m * a_centripetal
where m is the mass of the object.
A student throws a 0.140-kg ball straight upwards to a height of 3.10 m. How much work did the student do?
Answer:
The student did 4.54 joules of work. This can be determined by using the formula W = mgh, where W is the work done, m is the mass of the ball, g is the acceleration due to gravity, and h is the height to which the ball is thrown. In this case, m = 0.140 kg and h = 3.10 m, so W = 0.140 x 9.8 x 3.10 = 4.54 joules.
Construct a qualitative work-energy bar chart for a process that is consistent with the equation below. Then describe in words and with a sketch a process that is consistent with both the equation and the bar chart.
(1/2) (400 N/m) (0.20 m)^2= (1/2) (0.50 kg) v^2 + (0.50 kg) (9.8 N/kg ) (0.80 m)
The total work done is equal to the work done by the spring[tex](400 N/m \times 0.20 m)[/tex] Plus the work done by gravity[tex](0.50 kg \times 9.8 N)[/tex]. The total work done is equal to [tex](1/2) (0.50 kg) v^2 + (0.50 kg) (9.8 N/kg ) (0.80 m)[/tex].
What is the gravity?A force of attraction known as gravity exists between any two mass-containing objects. It is the force responsible for keeping the Earth and other planets orbiting the Sun, and for keeping us firmly rooted to the ground.
Gravity is what keeps us and everything else on the ground and not floating off into space.
A 0.50 kg block is placed on top of an inclined plane with a height of 0.80 m and a spring with a spring constant of 400 N/m is connected to the block. The block is then released from a height of 0.20 m above the ground.
The block then slides down the inclined plane while compressing the spring and is eventually brought to rest by the force of gravity.
Therefore, The total work done is equal to the work done by the spring [tex](400 N/m \times 0.20 m)[/tex] Plus the work done by gravity (0.50 kg x 9.8 N). The total work done is equal to [tex](1/2) (0.50 kg) v^2 + (0.50 kg) (9.8 N/kg) (0.80 m).[/tex]
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Suppose you have two conductors of different sizes and different initial charges. You connect them with a wire. What one measurement will then be equal for both of them?
The charge of the two capacitors will be equal when they are connected. Similarly their electrical potential will be equal. The charge distribution to attain equilibrium is making them equally charged.
What is capacitance?The capacitance of a device is its ability to store charge. Such devices are called capacitors. The capacitance of a capacitor is dependent on the electrical potential and charge as well as their size and shape.
According to the law of conservation of electrical charges, the charge lost by one body is equal to the charge gained by the other body. Hence, when two differently charged capacitors when connected each other, the start charge transfer until they attain equal charges.
Therefore, the measurement that is equal for the capacitors here connected by the wire is charge.
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Charge will be equal on both conductors after connecting with wire.
Electric charge is the physical property of matter that causes that matter to experience a force when placed in an electromagnetic field. Electric charge can be positive or negative.
Given,
Two conductors of different sizes and different initial charges are connected with a wire,
Connecting with a wire will start flow of charge until charges on both conductors become equal.
Hence, charge will then be equal for both conductors.
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An example of using sustainable practices in creating new products would be ______
a large company installs low-flush toilets in all of its plant and warehouse loca
an office building stops using paper products and asks workers to bring their
a tile company collects and recycles old tiles from large facilities and makes m
a large data center uses computer modeling to get rid of hot spots that waste
Answer:
"a tile company collects and recycles old tiles from large facilities and makes m"
Explanation:
While the first two sound sustainable, and they are, they're not necessarily part of creating new products. The third option where "a tile company collects and recycles old tiles from large facilities and makes m" which is cut off although I'm assuming "makes more?" making it part of the process of creating new products, although it's more sustainable as it uses old products.
An object is orbiting at a distance of 10,000 km from the center of a planet. The gravitational force between the object and the planet is 10.0 N. What would the gravitational force be if the object were orbiting at a distance of 5,000 km?
A. 2.5 N
B. 5 N
C. 20.0 N
D. 40.0 N
SHOW WORK PLEASE!!
If the item were orbiting at a distance of 5,000 km, there would be a gravitational force of 40 N.
What is gravity, and how does it work?Gravitational force is the name for the force that the earth exerts on a body. Among other instances of motion caused by gravitational force are the leaves and fruits that fall from trees and land on the ground, the water that flows down rivers, and a ball that is tossed up that travels to a height before landing back on the ground.
A substance's gravitational pull is:
F = GMm / r²
Where G is the gravitational constant over all space and time,
A single object's mass is M. (the planet),
The weight of the opposing item is m.
r is the separation between the items.
F is equal to 10 N at 10,000 km.
(10 N) = GMm / (10,000 km) (10,000 km)
²
GMm=109 N km2
Whenever r is 5,000 km:
F = (10⁹ N km²) / (5000 km) (5000 km)
F = 40 N.
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A lead weight falls from a height of 6 m onto a muddy surface. It comes to rest after penetrating 0.4 cm into the surface. What was the magnitude of the average acceleration during the impact? How long did it take to stop?
The duration of motion is 1.11 seconds, and the average acceleration during impact is 9.8 m/s2.
Average lead weight acceleration during impact:
The gravitational pull of 9.8 m/s2 will cause the lead weight to descend.
Lead weight's time of motion is given by t = 2h/g.
where:
The entire height of the fall is given by h, which is equal to 6 metres plus 0.4 centimetres, or 6.004 metres per second.
t = 1.11 s
As a result, the period of motion is 1.11 s, and the average acceleration during impact is 9.8 m/s2.
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To calculate the acceleration of an object moving in a straight line, divide the change in (blank) by the time during which the acceleration occurs.
To calculate the acceleration of an object moving in a straight line, divide the change in velocity by the time during which the acceleration occurs.
How to find acceleration ?The rate at which velocity changes is called acceleration. Acceleration typically indicates a change in speed, but not necessarily. An item that follows a circular course while maintaining a constant speed is still moving forward because the direction of its motion is shifting.
To calculate acceleration, you need to divide the change in velocity (delta v) by the change in time (delta t) during which the acceleration occurs. The formula for acceleration is a = Δ v / Δ t.
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80m E 20m S FIND THE AIR SPEED OF THE PLANE RELATIVE TO THE GROUND.
The air speed of an airplane traveling 80 meters east and 20 meters south in a second relative to the ground is about 82.46 m/s
What is the airspeed of a plane relative to the ground?The air speed of a flying airplane relative to (a specified location on) the ground is the difference between the airplane's ground speed and the speed of the wind, found using vectors as follows;
Mathematically, we get;
Airspeed = Ground Speed - Wind SpeedWhereby the velocity of the wind is 120 m/s and the airplane is traveling with an airspeed of 300 m/s due east for example, and the airplane travels 80 meters east and 20 meters south relative to the ground in one second, we get;
Resultant valocity = 80 m/s East, 20 m/s South
v = 80·i - 20·j
The magnitude of the velocity of the plane relative to the ground can be found, using the formula for the magnitude of resultant vector as follows;
|v| = √(80² + (-20)²) = 20·√(17) ≈ 82.46
The air speed of the plane relative to the ground is therefore;
|v| ≈ 82.46 m/s
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During a very quick stop, a car decelerates at 7.6 m/s2. Assume the forward motion of the car corresponds to a positive direction for the rotation of the tires (and that they do not slip on the pavement).
Randomized Variablesat = 7.6 m/s2
r = 0.26 m
ω0 = 95 rad/s (a) What is the angular acceleration of its tires in rad/s2, assuming they have a radius of 0.26 m and do not slip on the pavement?
(b) How many revolutions do the tires make before coming to rest, given their initial angular velocity is 95 rad/s ?
(c) How long does the car take to stop completely in seconds?
(d) What distance does the car travel in this time in meters?
(e) What was the car’s initial speed in m/s?
The angular acceleration of its tires is 26.23 rad/s².
The number of revolutions is by the tire is 24.57 rev.
The time it takes the car to stop is 48.2 s.
The distance of the car will be calculated in d = v0 × t + (1/2) × a × t²
And the car's initial speed in v0.
How to calculate angular acceleration?a) The formula for angular acceleration (α) can be calculated as α = r/a, where r is the radius of the tire and a is the linear acceleration. So, in this case, α = 0.26 / 7.6 = 26.23 rad/s².
b) The formula for angular velocity (ω) at a given time can be calculated as ω = ω0 + αt or ω² = ω²0 + 2αΔΘ , where ω0 is the initial angular velocity and t is the time. To find the number of revolutions, find the time it takes for the angular velocity to reach 0. The equation would be 0 = 95 + 1.97t. ω²= 2 x 26.23ΔΘ. = 9025 = 58.46ΔΘ
ΔΘ = 9025 / 58.46 = 154.375 rad. n = ωt / (2π). = 154.375/2π = 24.57 rev.
c) We can find the time it takes for the tires to come to rest by solving for t in the equation 0 = 95 + 1.97t. So, t = 95 / 1.97 = 48.2 s.
d) The distance traveled by the car can be calculated as d = v0 × t + (1/2) × a × t^2, where v0 is the initial speed and a is the linear acceleration. However, as the initial speed is not given, the distance cannot be determined.
e) The initial speed (v0) cannot be determined as it is not given in the problem.
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A student who weighs 558 N climbs a stairway (vertical height of 3.3 m) in 29 s.
Answer:
Work is defined as force x displacement in the direction of the force. In this case the force is 558 N and the displacement is 3.3 m, so the work is 3.3 m x 558 N = 1,841.4 joules.
Power is work per unit of time. 1,841.4 J /29 s = 63 W.
Have a wonderful day! :-)
Bob and Alice both throw baseballs vertically upwards from the same starting height. Both balls take the same amount of time to go up to their maximum height. Which of the follow is true (select all that apply)A. Both Bob and Alice must have thrown the balls with the same speedB. Bob could have thrown his ball with a larger speed than AliceC. Alice could have thrown her ball with a larger speed than BobD. Both balls must have reached the same maximum heightE. Alice's ball could have reached a large maximum height compared to Bob'sF. Bob's ball could have reached a large maximum height compared to Alice's
A. "Both Bob and Alice must have thrown the balls with the same speed" and D. "Both balls must have reached the same maximum height" are true statements.
When two objects are thrown vertically upwards with the same starting height and take the same amount of time to reach their maximum height, it can be concluded that both objects were thrown with the same speed, as their time of flight is dependent on their initial velocity. Additionally, since they started from the same height, their maximum height must also be the same.
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Two small objects are suspended from threads. When the objects are moved close together, they attract one another. Which of the following could produce this result?A) One object is positively charged and the other is negatively charged.B) One object is positively charged and the other is uncharged.C) One object is negatively charged and the other is uncharged.D) All of the above could result in such attraction.
When two objects are suspended from wires, All of the above can result in such an attraction. The correct answer D.
When two objects are suspended from threads, the movement of one object close to the other can cause the electrons in the atoms of one object to be transferred to the other, resulting in one object gaining a positive charge and the other gaining a negative charge.
This causes the two objects to attract each other due to the opposite charges.
This phenomenon is known as electrostatic attraction, and it occurs due to the electrostatic force of attraction between charged objects. The strength of this force depends on the distance between the objects and the magnitude of their charges. When the objects are brought closer together, the force of attraction becomes stronger, and they may even stick together.
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What is the acceleration of a 2,500-kg single-engine airplane just before takeoff when the thrust of its engine is 500N?
The acceleration of a 2,500-kg single-engine airplane just before takeoff when the thrust of its engine is 500N is, 0.2 m/s²
What is acceleration ?Acceleration is a vector quantity that describes the rate at which an object changes its velocity. It is the rate at which the velocity of an object changes in magnitude or direction, or both. In other words, it tells us how quickly an object is speeding up or slowing down. Acceleration has units of meter per second squared (m/s²) and its direction is the same as the direction of the change in velocity.
The net force acting on the airplane just before takeoff is equal to the thrust of the engine,
which is 500 N, minus the force of drag.
Since the airplane is just about to take off, the force of drag is relatively small,
So we can assume that the net force is equal to the thrust of the engine.
F = m x a
Where F is the net force, m is the mass, and a is the acceleration.
Substituting the values for F and m, we get:
500 N = 2,500 kg x a
Dividing both sides by 2,500 kg, we get:
a = 500 N / 2,500 kg = 0.2 m/s²
So, the acceleration of the 2,500-kg single-engine airplane just before takeoff when the thrust of its engine is 500 N is 0.2 m/s².
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Which of the following are considered to be price discrimination? (Select all that apply.)
Giving seniors a breakfast discount at the local diner.
Providing a bulk discount for school supplies to local school districts.
Charging schoolchildren half-fare for subway or bus transport.
Charging less for phone services in one location to drive out a competitor.
Charging less for phone services in one location to drive out a competitor is considered to be price discrimination.
What is price discrimination?A selling tactic known as price discrimination involves charging clients various rates for the same good or service depending on what the vendor believes they can persuade the customer to accept.
When a merchant uses pure price discrimination, they charge each consumer the highest price they will agree to.
In more prevalent types of price discrimination, the supplier divides clients into groups based on particular characteristics and assesses a different price to each group.
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refrigerant migration into the compressor crankcase will not usually occur if the temperature where the compressor is located is kept well above the
Refrigerant migration into the compressor crankcase will not usually occur if the temperature where the compressor is located is kept well above the refrigerant's saturation temperature.
Refrigerant migration occurs when the refrigerant vapor in the system condenses into a liquid and migrates into the compressor crankcase oil. If the temperature around the compressor is kept well above the saturation temperature, the refrigerant remains in a vapor state and does not condense, thereby reducing the likelihood of refrigerant migration into the compressor crankcase.
It is important to maintain the proper temperature in the compressor area to prevent refrigerant migration as it can cause several issues such as decreased compressor efficiency, reduced system performance, and increased oil degradation.
Additionally, the presence of refrigerant in the oil can cause oil degradation and system contamination, which can ultimately lead to compressor failure. Therefore, it is important to keep the temperature in the compressor area well above the refrigerant's saturation temperature to prevent refrigerant migration and ensure the longevity and proper operation of the refrigeration system.
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A solid rectangular block measures
[tex]1m \times 0.8m \times 0.6m[/tex]
and floats freely in a liquid of density 1354.6kg/m3.if the depth of the liquid 150.45m up the blocks side , find the density of the block
The block has a density of 16309.2 kg/m3.
Why is density important?The density of a material is an indicator of how heavy it is in relation to its size. If an object is submerged in water, it will float if its density is lower than that of the water, and sink if it has a higher density. A differentiating characteristic that is unrelated to a substance's volume is its density.
We must apply Archimedes' principle, which states that the weight of the fluid that is displaced by an object when it is immersed in a fluid equals the buoyant force acting on the item.
Let's start by determining the block's weight:
mass = density * volume
= density_block * length * width * height
weight_block = mass * g
= density_block * length * width * height * g
where g is the acceleration due to gravity (9.81 m/s²).
Next, let's find the weight of the displaced fluid:
volume_submerged = length * width * depth_submerged
weight_fluid = density_fluid * volume_submerged * g
Since the block is floating freely, the weight of the displaced fluid must be equal to the weight of the block:
density_block = density_fluid * volume_submerged / (length * width * height)
Plugging in the given values, we get:
density_block = 1354.6 kg/m³ * (0.8 m * 0.6 m * 150.45 m) / (1 m * 0.8 m * 0.6 m)
= 16309.2 kg/m³.
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Which type of spectrum can we use to determine the chemical composition of
interstellar gas clouds?
In the electromagnetic spectrum, EM radiation includes radio waves, visible light, and gamma rays.
What is a spectrum?
The characteristic wavelengths of electromagnetic radiation (or a subset thereof) emitted or absorbed by a material, atom, or molecule are called spectra. A spectrum is a state that can vary continuously along a continuum and is not limited to a set of values. After passing through a prism, visible light takes on a rainbow of colors, as the term was originally used scientifically in optics.
We study the electromagnetic radiation, or EM radiation, that interstellar clouds emit and receive from them. The range of this EM radiation includes radio waves, visible light and gamma rays in the electromagnetic spectrum.
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