The frequency you will hear when you are approaching a stationary source of sound at 20 m/s is 537 Hz.
What is the fundamental frequency of sound?
The fundamental frequency of sound is the lowest frequency produced by a vibrating object or sound source.
What is the speed of sound? The speed of sound is the distance covered by a sound wave per unit of time.
The given values are as follows:
frequency of sound = 500 Hz
speed of sound = 340 m/s
velocity of the observer = 20 m/s
Formula to find the frequency heard by the observer
The formula for finding the frequency of a sound wave observed by a moving observer is:
[tex]f\prime = \frac{f \times (v + v_o)}{(v - v_S)}[/tex]
Where, f' is the frequency observed
v is the speed of sound
f is the frequency of the sound source
[tex]v_S[/tex] is the velocity of the sound source
v₀ is the velocity of the observer
Substituting the given values into the above formula, f' = [tex]\frac{500 \times (340 + 20)}{(340 - 20)}
Hence, f' = 537 Hz
Therefore, when you are approaching the source of sound at 20 m/s, you will hear a frequency of 537 Hz.
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The graph above shows the motion of two runners in a race. Which runner was moving faster? How do you know?
A
Kathy is moving faster because the slope of her line is steeper.
B
Rachel is moving faster because the slope of her line is steeper.
C
Kathy is moving faster because the slope of her line is less steep.
D
Rachel is moving faster because the slope of her line is less steep.
Based on the data, we can infer that Rachel is moving faster because the slope of her line is steeper (option B).
How to identify the runner who was going faster?To identify the runner who was going faster we must take into account the information in the graph. In this case, Rachel's line shows that she has covered more distance in less time than Kathy.
Therefore, Rachel's line is steeper than Kathy's. In this case, Kathy has taken about 70 minutes to cover 7 kilometers. While Rachel has taken 50 minutes to travel about 90 km.
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Which part of an electrical circuit reduces the flow of electric charge?
OA. A resistor
OB. A conducting wire
C. A switch
OD. A battery
Answer:A resistor
Because Resistance is opposition to the flow of charges in a material.
Why must the negative terminals of the cells be connected on the same side of the parallel circuit and positive terminals on the other side?
The negative terminals of cells in a parallel circuit must be connected on the same side, and the positive terminals on the other side to ensure equal voltage across all cells and prevent reverse current flow.
In a parallel circuit, each cell contributes its voltage to the total voltage of the circuit. When cells are connected with their negative terminals on one side and positive terminals on the other side, the voltage across each cell is the same. If the cells were connected with opposite terminals on the same side, there would be an unequal voltage across each cell, leading to a current flow between cells in the opposite direction, known as reverse current flow.
This current flow can damage the cells and cause them to discharge quickly, reducing their lifespan. Therefore, connecting cells with negative terminals on the same side and positive terminals on the other side is crucial for the proper functioning of a parallel circuit.
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Please help me! Those who love cars and motorcycles I think you can help me
there is a kawasaki H2R 236hp; 217kg
a Mac Laren:625hp; 1375kg
a Bugatti 1100hp; 2136kg
and a 1350hp Nissan GTR; 1650kg
Which car will be able to reach 320km/h before the motorcycle?
The Data:
The power associated with one horsepower is 735.5 watts
The only vehicle capable of outpacing the Ninja H2R out of the box was the severely tuned, 1,350 horsepower SPE Nissan GT-R, which caught and passed the superbike at the.
Which is faster, the Kawasaki Ninja H2R or the Bugatti?Slowly coming off the line, the biker eventually catches up with and surpasses the Veyron.When the H2R triggers the speed camera at 194.5 mph—nearly 15 mph faster than that of the Bugatti—it is still harsh in acceleration.
A bike is faster than a Lamborghini, right?The bike easily overtakes the Lamborghini after another strong start from the latter.In comparison, the Huracan needs 9.6 seconds to finish the quarter mile.
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It is tempting to think that you are like a human camera taking in everything around you. However, you are, in fact, an active participant who is always trying to understand the sensations you are encountering
It is true that we are active participants in our lives and not just observers. We make sense of the sensations we encounter by forming mental models of what is happening around us. We are constantly refining these models in light of our observations and experiences.
In order to make wise decisions and actively and positively participate in the democratic cultures, they live in, citizens must possess the competencies that active participation calls for. These competencies include a level of awareness of oneself in relation to the environments into which they are thrust.
The fundamental tenets of active participation include promoting an individual's rights, choices, and independence.
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A sample that was melted and now solidified, need not be used again for melting point determination. Why is this important?
To ensure accurate and reliable melting point determinations, it is important to avoid reusing a sample that has been melted and solidified.
It is important to avoid reusing a sample that has been melted and solidified when determining its melting point because the process of melting and cooling can cause changes in the sample's structure and purity, which can affect the accuracy of subsequent melting point determinations.
When a solid sample is melted, its molecules or ions are rearranged, and the sample's crystal lattice structure is disrupted. Upon solidification, the sample's structure may not fully reform, resulting in impurities or defects in the crystal lattice. These impurities or defects can cause the sample to have a lower melting point than it would have had if it had not been melted.
Reusing a sample that has been melted and solidified can introduce additional impurities and defects into the sample, which can further lower its melting point. As a result, using the same sample for subsequent melting point determinations can lead to inconsistent and inaccurate results.
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the right hand rule for the direction of propagation of the electromagnetic waves is to (enter only the correct letter, i.e.b): a) point the fingers of your left hand toward the e vector, curl your fingers towards the b vector, and the thumb will point the direction of propagation. b) point the middle finger toward the e vector, the forefinger toward the b vector, and the thumb will represent the direction of propagation. c) point the fingers of your right hand toward the e vector, curl your fingers towards the b vector, and the thumb will point the direction of propagation. d) point the forefinger of your right hand toward e vector, middle finger toward the b vector, and the thumb will represent the propagation. e) none of the other answers is correct.
The right hand rule for the direction of propagation of the electromagnetic waves is to point the fingers of your right hand toward the e vector, curl your fingers towards the b vector, and the thumb will point the direction of propagation. Therefore, the option c is correct.
The right-hand rule is a rule used for understanding the direction of a magnetic field concerning the direction of electric current in a wire. The rule relates to the direction of the magnetic field produced by current-carrying wires. Also, it relates to the direction of the force exerted on a wire placed in a magnetic field. The right-hand rule for the direction of propagation of electromagnetic waves is as follows:Point the fingers of your right hand toward the E vector. Curl your fingers towards the B vector. The thumb will point the direction of propagation of the electromagnetic waves. It is used to understand the direction of the electric field and magnetic field concerning the direction of electromagnetic waves.The direction of propagation of an electromagnetic wave is the direction in which the wave travels. Electromagnetic waves have a transverse wave nature, meaning that the direction of their oscillations is perpendicular to the direction of propagation. The oscillations of the electromagnetic wave are given by the electric and magnetic fields, and their direction is perpendicular to the direction of the wave's propagation.Option C is correct.Learn more about electromagnetic waves: https://brainly.com/question/25847009
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Is there a magnetic field in an off light bulb?
Answer: no
Explanation: an electric field must be present so if the bulb is off then there's no charge to the bulb for the electromagnetic field to interact
suppose a laser used for surgery directs most of the light only toward the patient. but suppose that a small fraction of the light, 4.54 watts, leaks out and travels equally in all directions. if a safe exposure to this laser light is an intensity of 0.0204 watts per meter squared, a surgeon without protection should stay at least what distance away from this laser in meters?
A laser used for surgery directs most of the light only toward the patient. But suppose that a small fraction of the light, 4.54 watts, leaks out and travels equally in all directions. A surgeon without protection should stay away from this laser at least: 9.05 meters.
The exposure to laser radiation poses potential hazards, including injury to the skin, eyes, or other parts of the body. The distance between the source of the laser radiation and the surgeon depends on the intensity of laser radiation, and the duration of the exposure.
The intensity of the laser beam is the power of the beam divided by the surface area perpendicular to the direction of the beam. The laser radiation to which a person is exposed is determined by the distance between the source and the person, as well as the degree of divergence of the beam.
As the distance between the person and the source increases, the amount of radiation decreases. Therefore, the intensity of radiation is inversely proportional to the square of the distance. Using the equation, Power = Intensity × Surface area, we can calculate the surface area.
We know that the power of the leaked laser light is 4.54 watts and the safe intensity of laser light is 0.0204 watts per meter squared. Therefore, the surface area is
Surface area = power/intensity
= 4.54/0.0204=222.549 meters squared.
The distance between the surgeon and the laser light can be calculated by using the formula
Surface area of a sphere = 4πr²
Where r is the radius of the sphere.
As the laser light travels equally in all directions, the surface area of the sphere is given as
Surface area of a sphere = 4πr²= 222.549 meters squared. We can find the radius r by dividing the surface area of the sphere by 4π. Therefore, [tex]r^{2} = 222.549/4\pi r^{2}= 17.747r = \sqrt{17.747r} = 4.212 meters[/tex]
The surgeon without protection should stay at least 4.212 meters away from laser in meters.
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Josh is designing a lab to separate a mixture of sulfur powder and iron filings. He looks at all the ways to separate a mixture but decides that one way would work the best on this mixture. What method should Josh use?
The method that Josh should use to separate a mixture of sulfur powder and iron filings is magnetic separation.
Magnetic Separation is a process that separates magnetic materials from non-magnetic materials. In this case, iron filings are magnetic, while sulfur powder is not. By using a magnet, Josh can easily separate the iron filings from the sulfur powder. To perform magnetic separation, Josh can place the mixture of sulfur powder and iron filings on a piece of filter paper and move a magnet underneath the paper. The iron filings will be attracted to the magnet and will stick to it, while the sulfur powder will remain on the filter paper. This method is effective because it is simple and does not require any chemicals or complex equipment. It is also a quick way to separate the two substances, which is important in a lab setting where time is limited. In summary, Josh should use magnetic separation to separate the mixture of sulfur powder and iron filings in his lab.
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a young boy with a broken leg is undergoing traction. assuming the weight of the leg is 27.7 n and the weight hanging from the traction apparatus is also 27.7 n, what is the magnitude of the force exerted on the femur by the lower leg?
The magnitude of the force exerted on the femur by the lower leg while undergoing traction is 55.4 N
The magnitude of the force exerted on the femur by the lower leg is equal to the sum of the weight of the leg and the weight hanging from the traction apparatus.
What is traction?Traction is a treatment method in which a patient's limb is pulled by weights and pulleys to stretch and strengthen the soft tissues and joint structures around the bone. Traction may be used to treat broken bones, dislocated joints, or muscle or ligament strains.
The weight of the leg = 27.7 N
The weight hanging from the traction apparatus = 27.7 N
The magnitude of the force exerted on the femur by the lower leg
= Weight of the leg + Weight hanging from the traction apparatus
= 27.7 N + 27.7 N= 55.4 N
Therefore, the magnitude of the force exerted is 55.4 N.
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Solve it pleaseeeeeeeee
The force exerted to push the 25 Kg wooden box across the wooden floor at a constant speed of 1.0 m/s is 49 N (2nd option)
How do i determine the force exerted?Frictional force is given by the following formula
Frictional force = coefficient of friction (μ) × normal reaction (N)
Since the speed is constant,
Frictional force = Force exerted
Thus,
Force exerted = coefficient of friction (μ) × normal reaction (N)
F = μN
Now, we shall determine the force exerted to push the box. Details below:
Mass of box (m) = 25 KgCoefficient of friction (μ) = 0.2Acceleration due to gravity (g) = 9.8 m/s² Normal reaction (N) = mg = 25 × 9.8 = 245 NForce exerted (F) =?F = μN
F = 0.2× 245
F = 49 N
Thus, the force exerted to push the box is 49 N (2nd option)
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Objects go around the Sun in elliptical orbits. Especially comets can have orbits with a high eccentricity. The newly found comet P/2023 IAAC has a semi-major axis of 16.5 AU and a semi-minor axis of 8.3 AU. The comet’s mass is negligible compared to the Sun (1.9 x 1030 kg).
Answer:
19pr
Explanation:
Explain how you would find the volume of a pencil.
Explanation:
To find the volume of a pencil, you need to use the formula for the volume of a cylinder, which is:
V = πr²h
where V is the volume, π (pi) is a mathematical constant approximately equal to 3.14, r is the radius of the circular base of the cylinder (in this case, the radius of the pencil), and h is the height of the cylinder (in this case, the length of the pencil).
To find the radius of the pencil, you can measure the distance across the circular cross-section of the pencil at its widest point. Divide this distance by 2 to get the radius.
To find the length of the pencil, you can measure it from one end to the other end.
Once you have the radius and length, you can substitute these values into the formula for the volume of a cylinder and calculate the volume of the pencil in cubic units (e.g. cubic centimeters or cubic inches).
Does this graph represent a function? Why or why not?
-10
с
10
OA. Yes, because it passes the vertical line test.
B. Yes, because it passes the horizontal line test.
C. No, because it fails the horizontal line test.
n No hecause it faile the vertical line toet
No because it fails the vertical line test
Must a function pass the vertical line test?The vertical line test is a test used to determine whether a relation is a function. It states that a relation is a function if and only if any vertical line intersects the graph of the relation at most once.
If a relation fails the vertical line test, it means that there are two or more points on the graph with the same x-coordinate, and therefore, the relation is not a function.
Therefore, for a relation to be a function, it must pass the vertical line test.
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convex and concave lenses a lens is an object with a curved surface or surfaces. the curves help to bend visible light, which allows objects to be seen. a concave lens is narrower in the middle and thicker at the edges. a convex lens is thicker in the middle and narrower at the edges. students create a model of each type of lens. their models are shown. which best describes the lens that would make the best magnifying glass? a. a convex lens because it will focus the light to make objects appear larger. b. a concave lens because it will focus the light to make objects appear larger. c. a convex lens because it will spread out the light to make objects appear larger. d. a concave lens because it will spread out the light to make objects appear larger.
A magnifying glass has a convex lens. In the context, option a. a convex lens because it will focus the light to make objects appear larger is the correct answer.
Convex lenses and concave lenses are two of the most commonly used lenses in optics. A convex lens is a lens that converges light rays, and when used to view a small object, it creates a magnified image of the object behind it.A lens is an optical instrument consisting of a glass or plastic lens that uses a curved surface to focus light and create images of objects. Convex lenses and concave lenses are two types of lenses that are frequently used. A convex lens is a lens that is thicker in the center than at the edges. When parallel light rays pass through the lens, they converge, which means they come together in a single focal point. Convex lenses are commonly used in magnifying glasses, telescopes, and microscopes. A concave lens is a lens that is thinner in the center than at the edges. As parallel light rays pass through the lens, they diverge, which means they move away from each other in different directions. Concave lenses are used in eyeglasses to correct nearsightedness, among other things. Thus, the lens that would make the best magnifying glass is a convex lens because it will focus the light to make objects appear larger.Learn more about magnifying glasses: https://brainly.com/question/20876425
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Neither fluid changes phase and the viscosity correction factor at the wall may be ignored for both fluids. Calculate the overall heat transfer coefficient (fouling resistances may be ignored). The clearance can be taken as the difference between the pitch and the outside diameter
To calculate the overall heat transfer coefficient between two concentric pipes, we can use the following formula:
1/U = (r2 / k2) x ln(r2 / r1) + (1 / h1 x D1) + (ln(r3 / r2) / 2πk3L). Where: U is the overall heat transfer coefficient. r1 is the inner radius of the inner pipe. r2 is the outer radius of the inner pipe and the inner radius of the outer pipe. r3 is the outer radius of the outer pipe. k2 is the thermal conductivity of the material of the inner pipe. k3 is the thermal conductivity of the material of the outer pipe. h1 is the heat transfer coefficient on the inner pipe. D1 is the diameter of the inner pipe. L is the length of the pipe. In this case, since the fluids do not change phase and the viscosity correction factor at the wall may be ignored, we can assume that the heat transfer coefficients on both sides are equal, and h1 = h2. We can also assume that the inner pipe is made of copper (k2 = 401 W/mK), the outer pipe is made of steel (k3 = 50 W/mK), and the length of the pipe is 1 meter. Given the dimensions of the pipes, we can calculate the values of r1, r2, and r3. The clearance between the pipes can be taken as the difference between the pitch and the outside diameter, which is 0.005 m. Using these values, we can calculate the overall heat transfer coefficient: 1/U = (0.0105 / 401) x ln(0.0105 / 0.008) + (1 / h1 x 0.01) + (ln(0.014 / 0.0105) / (2π x 50 x 1)). Simplifying this equation and assuming that h1 = h2: U = 10.22 W/m²K. Therefore, the overall heat transfer coefficient between the two concentric pipes is 10.22 W/m²K.
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What is the direction of that force?
The direction of the resultant force is 53.13 degrees from the horizontal in the direction of the vector B.
What is the direction of the resultant force?
To find the direction of the resultant force, we can use the inverse tangent function (tan⁻¹) and the ratios of the sides of a right triangle.
The angle that the resultant force makes with the horizontal can be found by:
tan θ = Fy/Fx
where;
Fy is the vertical forceFx is the horizontal forceθ = tan⁻¹ (4 N / 3 N) = 53.13 degrees
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The complete question is below:
Two forces A and B, with magnitude 3 N and 4 N, line horizontal and vertical respectively.
What is the direction of the resultant force?
a stone of mass 3 kg is tied to a string of length 1.5 m, and is swung in a horizontal circle with speed v. the string has a breaking point force of 12.3 n. what is the largest value that v can have without breaking the string?
The largest value of speed that can be achieved without breaking the string is 2.47 m/s.
The force required to keep an object moving in a circle is given by the centripetal force formula:
[tex]$F = \frac{mv^2}{r}$[/tex]
Where F is the tension force, m is the mass of the stone, v is the velocity, and r is the radius of the circle.
Since the string has a length of 1.5 m, and the stone is tied to the end of the string, the radius of the circle is equal to the length of the string:[tex]$$r = 1.5 m$$[/tex]
Next, we need to find the tension force that the string can withstand without breaking, which is given as:
[tex]$F_{max} = 12.3 \ N$[/tex]
Finally, we can substitute these values into the formula above and solve for v:
[tex]$F_{max} = \frac{mv^2}{r}$[/tex]
[tex]$12.3 \ N = \frac{(3 \ kg)(v^2)}{(1.5 \ m)}$[/tex]
[tex]$v^2 = \frac{12.3 \ N \cdot 1.5 m}{3\ kg}$[/tex]
[tex]v^2 = 6.15 \frac{m^2}{s^2}[/tex]
$$v = \sqrt{6.15} \frac{m}{s}$$
$$v \approx 2.47 \frac{m}{s}$$
Therefore, the largest value that v can have without breaking the string is approximately 2.47 m/s.
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A storage tank at STP contains 27. 8 kg of nitrogen (N2).
What is the volume of the tank?
What is the pressure if an additional 31. 1 kg of nitrogen is added without changing the temperature?
The volume of the tank is found to be 2260557 L and the additional pressure is found to be 0.85 atm.
A storage tank at STP contains 27. 8 kg of nitrogen N₂. The ideal gas equation say, PV = nRT, P, V, n, R, T are pressure, volume, moles, gas constant and Temperature respectively.
At STP, pressure is 1 atm and Temperature is 272 K.
Putting all the values,
1 x V = 27800/28(8.34)(273)
V = 2260557 Liters.
If the mass of the gas is 31.1 Kg the volume using the same equation will be 2528896.5 L.
If the temperature is constant but the volume is increases,
P₁V₁(Initially) = P₂V₂(Finally)
Putting values, we get,
1 x 2260557 = 2528896.5 x P₂
P₂ = 0.85 atm
So, the additional pressure will be 0.85 atm.
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how is it possible that a body moves at a constant speed and still in accelerating motion? when a car is going around a circular track with constant speed, what provides the centripetal force necessary for circular motion? what are directions of acceleration and net force if hte speed of an object is changing while rotating in a circular motion? in this experiment, what would be the effect if the point on the arm hanging the bob and the pointer are not on the same vertical line in the experiment? in this experiment, if there is no spring attached and the bob is rotated at a constant speed, what provides the centripetal force? draw a digram to explain your answer.
It is possible for a body to move at a constant speed and still be in accelerating motion if its direction of motion is changing, i.e., it is undergoing circular motion. In circular motion, the direction of velocity of the body is changing constantly, resulting in a change in its acceleration even though its speed remains constant.
When a car is going around a circular track with constant speed, the centripetal force necessary for circular motion is provided by frictional force between the tires of the car and the surface of the track.
In circular motion, the direction of acceleration is towards the center of the circle, while the direction of net force is also towards the center of the circle. If the speed of an object is changing while rotating in a circular motion, the direction of net force remains towards the center of the circle, but the direction of acceleration may change depending on the direction of change in speed.
In this experiment, if the point on the arm hanging the bob and the pointer are not on the same vertical line, it would result in an error in the measurement of the period of oscillation of the bob. The period of oscillation is directly proportional to the length of the arm, and if the arm is not vertical, the effective length of the arm will change, resulting in an inaccurate measurement of the period.
If there is no spring attached and the bob is rotated at a constant speed, the centripetal force required for circular motion would be provided by the tension in the string. The tension in the string would act towards the center of the circle and provide the necessary force to keep the bob moving in a circular path.
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in audition, a high frequency of vibration, as measured in hertz (hz), would be perceived as a sound. a. high-pitched b. loud c. low-pitched d. quiet
In Audition, a high frequency of vibration, as measured in hertz (Hz), would be perceived as a high-pitched sound. Hence, option A is correct.
What is an Audition? Audition is the sense of hearing, which involves the conversion of sound waves into neural signals in the brain. The sensory system responsible for the audition, the auditory system, is located in the inner ear. The sensory organs responsible for detecting sound waves are the hair cells, which are located in the cochlea's inner and outer membranes.
What is Vibration? When an object moves back and forth, it is referred to as vibration. These movements can be back and forth, up and down, or in a circular motion. The vibrations of an object cause sound waves to be generated in the air, which we perceive as sound.
A high frequency of vibration, as measured in hertz (Hz), would be perceived as a high-pitched sound. This is because high-frequency sound waves have a higher pitch than low-frequency sound waves.
Therefore, option A, "high-pitched," is the correct answer.
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for a simple harmonic oscillator, when (if ever) are the displacement and velocity vectors in the same direction? when are the displacement and acceleration vectors in the same direction?
For a simple harmonic oscillator, displacement and velocity vectors are in the same direction only at the equilibrium position. They are at 90° to each other at the amplitude positions, and the phase difference is 90°.
A simple harmonic oscillator is a conservative system that vibrates at a single frequency about an equilibrium point. It's a system that exhibits periodic motion. An oscillator that moves back and forth repeatedly with a constant frequency is known as a simple harmonic oscillator (SHO).A Simple harmonic oscillator (SHO) is a system where the magnitude of the acceleration is directly proportional to the magnitude of displacement and is in the opposite direction of displacement. Therefore, the displacement and acceleration vectors are never in the same direction; instead, they are in opposite directions.Learn more about simple harmonic oscillator: https://brainly.com/question/27237546
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height 5. An inclined plane is 100 m long and at an angle of 20° to the horizontal. The AMA of the slope is two. Calculate: a) the effort required to push a 7200 N block up the slope b) the ideal mechanical advantage c) the efficiency of the slope.
(a) The effort required to push the block up the slope is 3600 N.
(b) the ideal mechanical advantage of the slope is 2.92
(c) The efficiency of the slope is 68.5%.
What is the effort required?a) To calculate the effort required to push the block up the slope, we can use the formula:
Effort = Load / AMA
where;
Load is the weight of the block, and AMA is the actual mechanical advantage of the slope.Load = 7200 N
AMA = 2
Effort = 7200 N / 2
Effort = 3600 N
b) The ideal mechanical advantage (IMA) of an inclined plane is given by the formula:
IMA = Length of slope / Height of slope
Length of slope = 100 m
Angle of slope = 20°
We can use trigonometry to find the height of the slope:
Height of slope = Length of slope x sin(angle of slope)
Height of slope = 100 m x sin(20°)
Height of slope = 34.2 m (rounded to one decimal place)
Therefore, the ideal mechanical advantage of the slope is:
IMA = 100 m / 34.2 m
IMA = 2.92 (rounded to two decimal places)
c) The efficiency of the slope is given by the formula:
Efficiency = AMA / IMA x 100%
AMA = 2
IMA = 2.92
Efficiency = 2 / 2.92 x 100%
Efficiency = 68.5% (rounded to one decimal place)
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in a manufacturing process, a large, cylindrical roller is used to flatten material fed beneath it. the diameter of the roller is 4.00 m, and, while being driven into rotation around a fixed axis, its angular position is expressed as
The angular position of the large, cylindrical roller with a diameter of 4.00 m is a measurement of the amount of rotation of the roller in relation to a fixed axis.
In a manufacturing process, a large, cylindrical roller is used to flatten material fed beneath it. The diameter of the roller is 4.00 m, and, while being driven into rotation around a fixed axis, its angular position is expressed as. Angular position refers to the position of a rotating object relative to a reference point. It is a measure of how far an object has rotated around a particular axis relative to a reference point. The angular position of an object is typically measured in radians or degrees. The angular position of a rotating object can be described as a function of time by its angular velocity and its initial angular position. The formula for angular position is given as,θ = ωt + θ₀where,θ is the angular position of the object at time tω is the angular velocity of the objectθ₀ is the initial angular position of the object.
For the given problem, the angular position of the cylindrical roller is expressed as,θ = ωt + θ₀where,ω = Angular velocity
t = Time
θ₀ = Initial angular position
Given,
The diameter of the roller = 4.00 m
Radius of the roller = 2.00 m
The angular position of the roller is expressed as,
θ = 2.00t
where,θ is in radians and t is in seconds.
Therefore, the angular position of the roller is given by the formula,θ = ωt + θ₀
where,ω = 2.00 rad/st = Timeθ₀ = 0So,θ = 2.00t rad
By substituting the value of ω into the formula θ = ωt, we can calculate the angular position of the roller in terms of time.
In other words, it is the angle through which the roller has been rotated around a point of reference.
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In a manufacturing process, a large, cylindrical roller is used to flatten material fed beneath it. The diameter of the roller is 4.00 m, and, while being driven into rotation around a fixed axis, its angular position is expressed as θ = 2.10t2 − 0.850t3 where θ is in radians and t is in seconds. (a) Find the maximum angular speed of the roller. rad/s (b) What is the maximum tangential speed of a point on the rim of the roller? m/s (c) At what time t should the driving force be removed from the roller so that the roller does not reverse its direction of rotation? s (d) Through how many rotations has the roller turned between t = 0 and the time found in part (c)? rotations
Part A
The images show what the students see on the screen when they shine the light through the glass and through the
clear plastic.
Does the plastic affect how the light hits the screen? If so, how?
The plastic affects how light hits the screen due to the different index of refraction that plastic has.
How to describe the effect of surface on light ?Any material that light passes through can affect how the light hits the screen. The way that a material affects light depends on its optical properties, such as its index of refraction, absorption, and scattering.
For example, if the clear plastic has a different index of refraction than the air or glass, it can cause the light to bend or refract as it passes through, which can affect the direction of the light as it hits the screen. Additionally, if the plastic absorbs or scatters certain wavelengths of light, it can affect the color or intensity of the light that hits the screen.
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Why does the Sun's energy warm
Earth more at the equator than at the
poles?
A The equator has more of a curved
surface than the poles.
B Sunlight is less spread out near the
equator.
C Sunlight is more spread out near the
equator.
D The equator has a stronger gravitational
pull than the poles.
Answer:
B. Sunlight is less spread out near the equator .
Explanation:
The Earth is tilted on its axis so some places will receive Solar energy at an oblique angle and some at a direct angle.
Moving from the equator to the poles, sunlight hits Earth at a less direct angle, so the Sun's rays are more spread out and aren't as intense. Places near the poles are cooler than places near the equator because the sunlight they receive is more spread out (less concentrated), and the surface doesn't warm up as much.
At the equator the sun hits the Earth at a direct angle so the sun's rays are less spread out and more concentrated. This makes equatorial regions much warmer than polar regions .
The forearm bone is part of the elbow joint. The bicep muscle in the forearm bends it against the weight of the forearm
and a weight that the hand is holding. This best describes muscle and bone working together as a
Joint
diaphragm
Sternocleidomastoid
lever
Answer: D. Lever
Explanation: The biceps muscle provides the effort (force) and bends the forearm against the weight of the forearm and any weight that the hand might be holding. Many muscle and bone combinations in our bodies are of the Class 3 lever type.
A solid metal sphere of radius 2. 00 m carries a total charge of -4. 20 μC. How would the answers differ if the sphere was a solid nonconductor uniformly charged throughout?
The electric field inside the non-conductor sphere would be different. For a non-conductor sphere, the charge is distributed uniformly throughout the sphere, rather than being concentrated on the surface as in a conductor.
The electric field outside a uniformly charged solid sphere (conductor or non-conductor) is given by:
E = kQ/R^2
where k is the Coulomb constant, Q is the total charge on the sphere, and R is the radius of the sphere.
For the given solid metal sphere with a radius of 2.00 m and a total charge of -4.20 μC, we have:
E = (9.0 × 10^9 N·m^2/C^2) × (-4.20 × 10^-6 C) / (2.00 m)^2
E ≈ -9.86 N/C
The electric field is negative, which indicates that the direction of the electric field is inward, toward the center of the sphere.
For a solid non-conductor sphere that is uniformly charged throughout, the electric field outside the sphere can still be calculated using the same formula. The total charge Q on the sphere and the radius R of the sphere would be the same as for the metal sphere. Therefore, the magnitude of the electric field outside the solid non-conductor sphere would be the same as for the metal sphere:
E = kQ/R^2
E = (9.0 × 10^9 N·m^2/C^2) × (-4.20 × 10^-6 C) / (2.00 m)^2
E ≈ -9.86 N/C
However, the electric field inside the non-conductor sphere would be different. For a non-conductor sphere, the charge is distributed uniformly throughout the sphere, rather than being concentrated on the surface as in a conductor. Therefore, the electric field inside the non-conductor sphere would be zero. This is because the electric field due to one element of charge is cancelled by the electric field due to an opposite element of charge located on the opposite side of the sphere.
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how long does the government keep the presence of an incoming comet a secret in the film deep impact (1998)?
In the film Deep Impact (1998), the government kept the presence of the incoming comet a secret for only a few months.
Deep Impact is a 1998 American science-fiction disaster film directed by Mimi Leder, written by Bruce Joel Rubin and Michael Tolkin, and produced by Steven Spielberg's Amblin Entertainment. The movie's plot revolves around a comet that is on a collision course with Earth, and the film follows the attempts of scientists and political leaders to save the planet. Deep Impact starred Robert Duvall, Téa Leoni, Elijah Wood, Vanessa Redgrave, Maximilian Schell, and Morgan Freeman in the leading roles. Its production budget was estimated to be $75 million, and it grossed $349 million worldwide, making it the eighth-highest-grossing film of 1998.
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