(a) To find the energy stored in a magnetic field inside a solenoid, we can use the formula: E = (1/2) * L * I^2, where L is the inductance of the solenoid, and I is the current passing through it. Since the solenoid is air-filled, we can approximate its inductance using the formula: L = (mu * N^2 * A^2) / l
where mu is the permeability of free space, N is the number of turns, A is the cross-sectional area, and l is the length of the solenoid. Substituting the given values, we get L = 0.019 H. Assuming the current passing through the solenoid is negligible, we can calculate the energy stored as: E = (1/2) * L * I^2 = (1/2) * 0.019 * 0^2 = 0 J.
Therefore, the energy stored in the magnetic field is approximately 29 J.
(b) the total energy stored in the earth's magnetic field in the first 10 km above its surface, we can use the formula: E = (1/2) * V * B^2 * mu, where V is the volume, B is the magnetic field, and mu is the permeability of free space. We can approximate the volume of the region as a cylinder with a radius of 6400 km (the radius of the earth) and a height of 10 km.
Substituting the given values, we get E = (1/2) * pi * (6400 + 10)^2 * 10 * (0.5 x 10^-4)^2 * 4pi10^-7 = 5.1 x 10^15 J. Therefore, the total energy stored in the earth's magnetic field in the first 10 km above its surface is approximately 5.1 x 10^15 J.
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6. object x of mass m travels toward object y of mass 2m in such a way that they collide. the table contains data about the velocities of object x and object y immediately before the collision and immediately after the collision. what are the change in momentum of the two-object system from immediately before the collision to immediately after the collision?
The change in momentum of the two-object system from immediately before the collision to immediately after the collision is m(v-V) + 2m(V-v).
The change in momentum of the two-object system from immediately before the collision to immediately after the collision can be determined using the following equation:
Change in Momentum = Final Momentum - Initial Momentum.
The initial momentum of object x is given by the formula: Mass x Velocity = mv, where m is the mass of object x and v is the velocity of object x immediately before the collision. The initial momentum of object y is given by 2mv, where 2m is the mass of object y and v is the velocity of object y immediately before the collision. The final momentum of object x is given by m(v-V) where m is the mass of object x, v is the velocity of object x immediately before the collision and V is the velocity of object x immediately after the collision. The final momentum of object y is given by 2m(V-v) where 2m is the mass of object y, V is the velocity of object y immediately after the collision and v is the velocity of object y immediately before the collision. The change in momentum = m(v-V) + 2m(V-v).Therefore, the change in momentum of the two-object system from immediately before the collision to immediately after the collision is given by m(v-V) + 2m(V-v).
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if two flutists play their instruments together at the same intensity, is the sound twice as loud as that of either flutist playing alone at that intensity? why or why not?
No, the sound wouldn't be twice as loud as that of either flutist playing alone at that intensity. The increase in sound intensity would be less than twice as loud.
This is because when two sound waves coincide, the amplitude of the resulting sound wave is the sum of the amplitudes of the individual sound waves. That is, when two identical sound waves come together, they create a new sound wave that is slightly louder than the original sound wave, but not twice as loud.
Furthermore, sound intensity is affected by the distance from the sound source, and when two flutists are playing together, the sound waves produced have to travel further before they reach the listener, thus reducing the intensity of the sound.
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discuss the shape of the voltage and current waveforms. which appears more sinusoidal and why would you expect it to be that way?
The voltage waveform is more sinusoidal than the current waveform.
This is because the voltage source is assumed to be an ideal source, which means that the voltage is supplied without loss or fluctuation while the current waveform is distorted due to the loads present in the circuit. When a voltage waveform is applied to a circuit with inductance and capacitance, the resulting current waveform will be distorted and will not be sinusoidal. The current waveform is affected by the presence of capacitance and inductance in the circuit, which cause the current to lag behind the voltage. The current waveform becomes more distorted as the load resistance increases.
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how much water should be taken up by a plant when the air around it is completely saturated with water - 100 percent humidity.
The amount of water that a plant should take up when the air around it is completely saturated with water, i.e. 100 percent humidity, is the maximum amount of water the plant is capable of taking up from the environment. This is because there is no water left in the air for the plant to absorb.
What is humidity?Humidity refers to the amount of moisture present in the air. The humidity in the air is an important factor for the growth of plants. Humidity refers to the amount of moisture present in the air. The humidity in the air is an important factor for the growth of plants. In addition, the amount of water vapor present in the air determines how much water a plant can take up. As a result, humidity can play an important role in plant water uptake.
When the air around the plant is completely saturated with water, it means that the air has reached its maximum capacity for water vapor. The relative humidity, in this case, is 100%. When the air is completely saturated with water, it becomes difficult for the plant to take up any more water from the environment, as there is no water left in the air to absorb.
Therefore, the amount of water that a plant can take up is limited by the amount of water vapor present in the air.
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a certain truck has twice the mass of a car. both are moving at the same speed. if the kinetic energy of the truck is k, what is the kinetic energy of the car?
The kinetic energy of the car is also (m_car) (v_car)², which is half the kinetic energy of the truck.
What is kinetic energy?
The kinetic energy of an object is given by the equation:
KE = (1/2)mv²
where KE is the kinetic energy, m is the mass of the object, and v is the speed of the object.
Given that the truck has twice the mass of the car and both are moving at the same speed, we can write:
m_truck = 2m_car
v_truck = v_car
The kinetic energy of the truck is given as k. Therefore, we can write:
k = (1/2)(m_truck)(v_truck)²
Substituting the values of m_truck and v_truck, we get:
k = (1/2)(2m_car)(v_car)²
k = (m_car)(v_car)²
Therefore, the kinetic energy of the car is also (m_car)(v_car)², which is half the kinetic energy of the truck.
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1. ellen is swinging a 0.01kg yo-yo in a circular path perpendicular to the ground. the yo-yo moves in a clockwise direction with a constant speed of 2m/s. what is the velocity of the yo-yo at the bottom of the circle?
The velocity of the yo-yo at the bottom of the circle is 3.13 m/s.
When an object moves in a circular path, it is known as circular motion. It is circular since it follows a circular path. For example, the movement of the planets around the sun or the movement of the earth around its axis is an example of circular motion. Centripetal force is required to maintain circular motion because the object always attempts to move away from the center, which is known as centrifugal force. Centripetal force pulls the object towards the center, keeping it in circular motion. The velocity of an object in circular motion is not constant. It varies as the object moves through the circular path because the object changes direction at every point in the path.
Centripetal acceleration is defined as the acceleration of an object towards the center of a circular path. It is calculated using the formula a=v²/r, where a is the centripetal acceleration, v is the velocity of the object, and r is the radius of the circular path. The centripetal force required to maintain the circular motion is calculated using the formula F=ma, where F is the centripetal force, m is the mass of the object, and a is the centripetal acceleration.
Now, let us calculate the velocity of the yo-yo at the bottom of the circle. The yo-yo is moving in a circular path perpendicular to the ground. The mass of the yo-yo is 0.01 kg. The yo-yo moves in a clockwise direction with a constant speed of 2 m/s. We need to find the velocity of the yo-yo at the bottom of the circle. We know that the velocity of an object in circular motion is not constant. It varies as the object moves through the circular path because the object changes direction at every point in the path. Since the yo-yo is moving in a circular path, we can use the formula v=√(gr) to calculate the velocity at the bottom of the circle, where g is the acceleration due to gravity and r is the radius of the circular path. Since the yo-yo is moving in a circular path perpendicular to the ground, the radius of the path is equal to the length of the string. We know that the length of the string is not given in the problem. However, we can assume that the length of the string is equal to the height of the swing. Let us assume that the height of the swing is 1 meter. Therefore, the radius of the circular path is equal to 1 meter. Now, we can calculate the velocity of the yo-yo at the bottom of the circle using the formula v=√(gr). v=√(9.8*1)=3.13 m/s. Therefore, the velocity of the yo-yo at the bottom of the circle is 3.13 m/s.
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The formula for speed is Total Distance / Total Time. Based on the data table below, what is the
average speed after 2 minutes? Please show all calculations.
Time (min.) Distance (m)
0
1
2
3
0
50
75
90
Answer:
To find the average speed after 2 minutes, we need to calculate the total distance covered in 2 minutes and divide it by 2.
Total Distance after 2 minutes = 75m
Total Time after 2 minutes = 2 minutes
Average Speed after 2 minutes = Total Distance / Total Time
Average Speed after 2 minutes = 75m / 2 min = 37.5 m/min
Therefore, the average speed after 2 minutes is 37.5 m/min.
I Hope This Helps!
calculate the resultant velocity of an airplane that normally flies at 250 km/h if it encounters a 50-km/h tailwind. answer in units of km/h.
The resultant velocity of an airplane that normally flies at 250 km/h with a 50-km/h tailwind is 300 km/h.
This is because the velocity of the tailwind adds to the airplane's velocity, creating a total velocity of 300 km/h.
Velocity is the speed at which something moves in a particular direction. It can increase or decrease depending on what it encounters on its path.
To calculate the resultant velocity, use the equation:
Resultant Velocity = (Initial Velocity + Wind Velocity)
Resultant Velocity = (250 km/h + 50 km/h)
Resultant Velocity = 300 km/h
Therefore, the resultant velocity of an airplane when it encounters a 50 km/h tailwind is 300 km/h.
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discuss how errors due to earth curvature and refraction can be eliminated from the differential leveling process.
Errors due to earth curvature and refraction can be eliminated from the differential leveling process by using the trigonometric leveling method.
This method utilizes the principle of triangles to determine the height difference between two points on the Earth's surface.
The trigonometric method begins by measuring the horizontal angle between two points, then the vertical angle between the same two points, and finally the distance between the points.
The trigonometric method is not affected by the curvature of the Earth or refraction since the vertical angle is measured at a given distance instead of the line of sight.
Therefore, the measurements of the angles and distances remain unaffected.
The trigonometric leveling process is as follows: first, an instrument is set up at point A. A second instrument is then set up at point B, and both instruments are leveled.
The horizontal angle between the two points is then measured with a theodolite, followed by the vertical angle. Lastly, the distance between the two points is measured using a tape measure.
After all the measurements are taken, the results are then used in a trigonometric formula to calculate the difference in elevation between the two points.
This method eliminates errors due to refraction or the Earth's curvature, since the elevation difference is not determined by the line of sight, but rather by the measured angles and distance.
The trigonometric leveling method is the best method to eliminate errors due to the Earth's curvature and refraction from the differential leveling process.
This method uses trigonometric principles and measurements to accurately calculate the difference in elevation between two points.
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justin's boat travels 84 km downstream in 2 hours and it travels 130 km upstream in 5 hours. find the speed of the boat in still water and the speed of the stream's current.
The speed of the boat in still water is 34 km/h, and the speed of the stream's current is 8 km/h.
Let's denote the speed of the boat in still water as v and the speed of the stream's current as c.
When the boat travels downstream, its speed relative to the shore is the sum of its speed in still water and the speed of the current. So, we have:
v + c = 84 km/2 h = 42 km/h
When the boat travels upstream, its speed relative to the shore is the difference between its speed in still water and the speed of the current. So, we have:
v - c = 130 km/5 h = 26 km/h
We can now solve this system of equations to find v and c. Adding the two equations, we get:
2v = 68
v = 34 km/h
Substituting v into one of the equations, we can solve for c:
v + c = 42
34 + c = 42
c = 8 km/h
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a record turntable is rotating at 33 1 3 rev/min. a watermelon seed is on the turntable 7.3 cm from the axis of rotation. (a) calculate the acceleration of the seed, assuming that it does not slip. (enter the magnitude.)
Assuming that it does not slip, the acceleration of the seed is 0.89 m/s².
The acceleration of the seed can be calculated using the formula for centripetal acceleration:
a = (v²) / r
where a is the centripetal acceleration, v is the velocity of the seed, and r is the distance from the axis of rotation to the seed.
To use this formula, we need to first convert the rotational speed of the turntable from rev/min to radians per second. There are 2π radians in one revolution, so:
ω = (33 1/3 rev/min)(2π rad/rev)(1 min/60 s) = 3.49 rad/s
The velocity of the seed can be calculated from the tangential velocity formula:
v = rω
where v is the tangential velocity of the seed.
Substituting the given values, we get:
v = (0.073 m)(3.49 rad/s) = 0.255 m/s
Now we can use the formula for centripetal acceleration:
a = (v²) / r
Substituting the values we have calculated, we get:
a = (0.255 m/s)² / 0.073 m = 0.89 m/s²
Therefore, the acceleration of the seed is 0.89 m/s² assuming that it does not slip.
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determine the amount of heat transfer required when this is done during a constant-volume process. (you must provide an answer before moving on to the next part.)
The amount of heat transfer that is required when the process is done during a constant - volume process is 64, 921. 00 Joules
How to find the amount of heat transfer ?To find the amount of heat transfer during a constant-volume process, for a diatomic gas, the formula is :
= 5 / 2 x R
Expanded, this is:
Heat transfer = n Cv Δ T
The amount of heat transfer is therefore :
= ( 1, 000 / 32 ) x ( 5 / 2 R ) x ( 120 - 20 )
= ( 1, 000 / 32) x ( 5 / 2 x 0. 31) x 100
= 64, 921. 00 Joules
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The full question is:
1 kg of oxygen is heated from 20 to 120°C. Determine the amount of heat transfer required when this is done during a constant-volume process.
a spring has a mass of 2kg attached to it, and the spring constant is 8n /m. the mass is set in motion from the rest position with an initial velocity of 2m/s. assuming that there is no damping, find the subsequent motion of the mass. (you do not need to use the phase shift)
The subsequent motion of the mass attached to the spring with a spring constant of 8n/m and a mass of 2kg, is an oscillatory motion with a frequency of 1 radian/s. This means that the mass will move with a sinusoidal motion between its equilibrium point and the maximum displacement of 4m. The amplitude of the motion will remain constant, and the mass will reach its equilibrium position twice in each cycle.
The motion is determined by the spring constant (k) and the mass (m). As the spring constant is high, the mass will move with a higher frequency and shorter period, and the amplitude of the oscillatory motion will be higher.
As the mass was initially set in motion with an initial velocity of 2m/s, the mass will continue to move with the same speed and the same direction until it reaches its equilibrium point. The velocity of the mass will be highest at the equilibrium point, and will decrease as it moves away from it.
The motion of the mass will be periodic and repeat itself over time, and it will not be affected by any external forces such as friction or damping. As long as the mass remains at rest at the equilibrium point, the motion of the mass will continue in the same way.
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at a certain location, wind is blowing steadily at 10 m/s. determine the mechanical energy of air per unit mass and the power generation potential of a wind turbine
At a certain location, the wind is blowing steadily at 10 m/s. Determine the mechanical energy of air per unit mass and the power generation potential of a wind turbine is 98.4 kW.
Mechanical energy of air per unit mass:
Mechanical energy of air per unit mass can be calculated using the formula given below:
Mechanical energy of air per unit mass = 1/2(v²)
Where, v = velocity of air = 10 m/s
Putting the values in the above formula, we get:
M.E of air per unit mass = 1/2 (10²) = 50 J/kg.
Power generation potential of a wind turbine:
The power generated by a wind turbine can be calculated using the formula given below:
Power generated = 1/2ρAv³Cp
Where, ρ = density of air = 1.23 kg/m³A = area of the wind turbine blades = 100 m² (assuming a 10 m diameter turbine) Cp = coefficient of performance of the wind turbine = 0.4 (typical value for modern wind turbines)
Putting the values in the above formula, we get:
Power generated = 1/2 x 1.23 x 100 x (10)³ x 0.4 = 98400 W = 98.4 kW.
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the words on the pages of a textbook and the wave of a hand your friend makes when she sees you on the street are both examples of .
The words on the pages of a textbook and the wave of a hand your friend makes when she sees you on the street are both examples of physical phenomena.
The words on the pages of a textbook and the wave of a hand your friend makes when she sees you on the street are both examples of physical phenomena. Physical phenomena are observable events or occurrences that can be described using the scientific method. These phenomena can be observed using our senses, such as sight, touch, sound, taste, and smell, or measured using instruments, such as thermometers, scales, or cameras. For example, the wave of a hand is a physical phenomenon because it is an observable event that can be seen and measured. Similarly, the words on the pages of a textbook are physical phenomena because they are observable and can be seen and read.
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A car with its hom sounding approaches a group of students. Assume the car's horn produces sound waves with
constant frequency. Which of the following statements best explains why the students hear a higher pitch as the ca
approaches than when it is stopped?
The sound waves incr
in sneed as the car approaches the students
The sound waves are heard at a higher frequency as the car approaches the students.
how hard must she pull downward to raise herself slowly at constant speed? the mass of the person plus the bucket is 77 kg .
The person must pull downward with a force equal to her weight, which is approximately 760 N in order to raise herself slowly at a constant speed.
When the person pulls downward on the bucket, there are two forces acting on the system: the force of gravity pulling the person and the bucket down, and the force of the person pulling the bucket up. In order for the person to raise herself at a constant speed, the force she exerts on the bucket must be equal and opposite to the force of gravity pulling her down.
The force of gravity on the person and the bucket is equal to their combined weight, which can be calculated as mass times gravitational acceleration (77 kg x 9.81 m/s^2 = 755.37 N). Therefore, the person must exert a force equal to her weight (approximately 760 N) in order to counteract the force of gravity and raise herself at a constant speed.
Thus, to lift herself up slowly and steadily, the person needs to exert a downward force that is equivalent to her weight, which is around 760 Newtons.
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how long must a 0.70- mm -diameter aluminum wire be to have a 0.42 a current when connected to the terminals of a 1.5 v flashlight battery?
To determine the length of an aluminum wire required to carry a certain current, one must use the formula: r = (ρL) / (πr²), where r is the radius of the wire, ρ is the resistivity of the wire, and L is the length of the wire is 48.54 m.
What is the length of the wire?A 0.70 mm diameter aluminum wire has a radius of 0.35 mm or 0.00035 m. The resistivity of aluminum is 2.82 × 10⁻⁸Ωm. The formula for current is:
I = V / R
where, V is voltage, and R is resistance. We can rearrange this to:
R = V / I
Plugging in the given values of 0.42 A and 1.5 V gives R = 3.571 Ω. The resistance of a wire is given by:
R = ρL / A
where, A is the cross-sectional area of the wire, and ρ is its resistivity.
We know the resistivity of aluminum and the radius of the wire, so we can calculate the cross-sectional area of the wire:
A = πr² = 3.1416 × (0.00035 m)² = 3.848 x 10⁻⁷ m². Substituting all the values in the formula for the resistance of the wire and solving for L gives:
L = RA / ρ = (3.571 Ω) × (3.848 x 10⁻⁷ m²) / (2.82 × 10⁻⁸ Ωm) = 48.54 m.
Therefore, the aluminum wire must be 48.54 m long to have a current of 0.42 A when connected to the terminals of a 1.5 V flashlight battery.
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Need help with this (Homework)
Answer:
1. goes to B.
2. goes to D.
3. goes to A.
4. goes to C.
I had to do this in 8th grade so if im wrong sorry.
If im right please mark me brainliest
Which traits are controlled by polygenic inheritance? Select four options.
red hair
hazel eyes
blood type
length of corn ears
birth weight
fur color of palomino horses
Answer:
All options except fur color of palomino horses and blood type
Answer:
A, B, D, and E
Explanation:
at what speed is a bicyclist traveling when his 27 inch diameter tires are rotating at an angular speed of 5p radians per second?
The bicyclist is travelling at 0.0034 miles/hour
Thus, According to the given question, His bicycle's tire is 27 inches in diameter
∴ radius = 27/2 inches. His angular speed is 5π rad/sec.
1 complete rotation is 2π rad
∴ 5π rad/sec = 5π/2π = 2.5 complete rotations/sec
∴ It will be 2.5 times 60 complete rotations per minute. = 150 rpm.
Circumference of a circle is 2πr
= 2π(27/2) inches
= 84.82 inches which is equivalent to 0.00135 miles per rotation. The tire rotates at 150 rpm
∴The distance it will cover in miles per hour is = (0.00135×150)/60 miles/hour = 0.0034 miles/hour.
Thus, The bicyclist is travelling at 0.0034 miles/hour.
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in august of 2006, the iau (international astronomical union) published an official definition what it means to be a planet. what criteria is needed for that classification? why is pluto no longer considered a full fledged planet?
In August of 2006, the International Astronomical Union (IAU) published an official definition of what it means to be a planet.
The criteria required for that classification are:
The object must be in orbit around the sun.The object must be spherical or nearly spherical.The object must have cleared the neighborhood around its orbit.Pluto is no longer considered a full-fledged planet because it has not satisfied the third condition mentioned above. According to the IAU, Pluto has not cleared the neighborhood around its orbit.
That is, Pluto shares its orbit with numerous other objects in the Kuiper Belt region and therefore does not have a clear path around the sun. This led to the IAU redefining Pluto as a dwarf planet in 2006, which means that it is still classified as a planet but is no longer considered a full-fledged planet.
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suppose you wish to make a solenoid whose self-inductance is 2.4 mh. the inductor is to have a cross-sectional area of 1.80 10-3 m2 and a length of 0.045 m. how many turns of wire are needed?
We need approximately 369 turns of wire to make the solenoid.
The self-inductance (L) of a solenoid is given by the formula:
L = (μ₀ * N² * A * l) / l
where:
μ₀ = permeability of free space (4π × 10^-7 H/m)
N = number of turns of wire
A = cross-sectional area of the solenoid
l = length of the solenoid
We can rearrange this formula to solve for N:
N = [tex]\sqrt{L * l) / (M_0 * A))}[/tex]
Substituting the given values, we get:
N = [tex]\sqrt{2.4(10^-^3 H * 0.045 m) / (4\pi (10^-^7 H/m * 1.80(10^-^3 m^2))}[/tex]
N ≈ 369.25
Therefore, the turn of wire that we are needed are 369.25 turns.
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turns people upside down. people should not drop down. this is due to: gravity. inertia. seat belts. centrifugal force.
The given statement "turns people upside down" and "people should not drop down" are both due to the centrifugal force.
What is Centrifugal Force?Centrifugal force is defined as the apparent force that tends to move a rotating body away from the center of rotation. When an object moves in a circular path, a force must act towards the center of the circle to keep it moving in a circle. This force is known as the centripetal force.
The opposite force that acts to push the object away from the center of the circle is called centrifugal force. So, the given statement "turns people upside down" and "people should not drop down" are both due to the centrifugal force.
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which is the correct unit to represent time?
d) 7m
b) 7m/h
c) 7 s
on a day when there is no wind, you are moving toward a stationary source of sound waves. compared to what you would hear if you were not moving, the sound that you hear has
The sound that you hear has a higher frequency and a shorter wavelength.
When you move towards a stationary source of sound waves, the wavelength is shortened and the frequency is increased. This is due to the Doppler Effect, which states that a wave's frequency increases as the source and observer come closer together.
The Doppler effect is a phenomenon when there is a change in the frequency of the wave due to a displacement of the source and detector/listener.
In summary, when you move towards a stationary source of sound waves, the sound you hear has a higher frequency and a shorter wavelength.
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Seventh grade QQ.4 Commas with coordinate adjectives 5L5
Insert one comma to separate the coordinate adjectives.
Typical golf caddie responsibilities include carrying clubs, cleaning balls,
calculating distances and scores, and even replacing the divots-pieces of
grass and dirt that have been cut loose by the swift forceful strikes of golf
clubs.
Answer:
Typical golf caddie responsibilities include carrying clubs, cleaning balls,
calculating distances and scores, and even replacing the divots - pieces of
grass and dirt that have been cut loose by the swift, forceful strikes of golf
clubs.
when a knowledgeable amateur astronomer tells you that she has a 14-inch telescope, what does the number 14 refer to?
When a knowledgeable amateur astronomer tells you that she has a 14-inch telescope, the number 14 refers to the diameter of the telescope’s objective lens.
A telescope is a device used to view distant objects by utilizing electromagnetic radiation to either magnify their apparent size or gather more light than the human eye can. Telescopes are used for scientific, commercial, and amateur purposes. The telescope comprises an objective lens or mirror and an eyepiece to magnify the images created by the objective. Most telescopes have a viewfinder to make it simpler to aim the telescope precisely at the object of interest. They may also have a motorized mount to track celestial objects as they move across the sky.
Telescopes come in a variety of sizes, designs, and shapes and they range from large observatory telescopes to handheld amateur models. They are often classified into two types, reflecting and refracting telescopes and the size of a telescope is determined by the diameter of its objective lens or mirror. The bigger the diameter, the more light the telescope can collect, and the clearer the image. The diameter of the objective is the most significant aspect of a telescope when it comes to observing the heavens. For instance, a 14-inch telescope has an objective lens with a diameter of 14 inches, this large lens is capable of collecting a lot of light and providing clear images, making it a perfect tool for viewing the night sky.
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if the same horizontal net force were exerted on both vehicles, pushing them from rest over the same distance, what is the ratio of their final kinetic energies?
If the same horizontal net force were exerted on both vehicles, pushing them from rest over the same distance, the ratio of their final kinetic energies will be 1:1.
What Is Kinetic Energy?The kinetic energy of an object depends on its mass and velocity, and if the force and distance traveled are the same, the velocity of the vehicles at the end of the distance will be the same. The kinetic energy of an object can be calculated using the formula: KE = 1/2mv². Where KE is the kinetic energy, m is the mass, and v is the velocity of the object. If the force and distance traveled are the same for both vehicles, their final velocities will also be the same. Therefore, the ratio of their final kinetic energies will be 1:1, regardless of the mass of the vehicles. The mass of an object only affects its kinetic energy when the force applied is not the same. In that case, the object with the larger mass will have a smaller velocity and therefore smaller kinetic energy, even if the distance traveled is the same.
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what is the equation to find the equivalent resistance, req, of two resistors in series, r1 and r2? group of answer choices
The equivalent resistance of resistors in series is always greater than the individual resistances. This is because the total resistance of the circuit is the sum of the resistances, and therefore the electric current has to overcome more resistance to flow through the circuit as compared to when a single resistor is used.
To find the equivalent resistance, req, of two resistors in series, r1 and r2, the following equation is used:
Req = R1 + R2
Where Req is the equivalent resistance of the series circuit,
R1 is the resistance of the first resistor,
R2 is the resistance of the second resistor.
Resistors in a circuit are the components that oppose the flow of electric current. When two resistors are connected in series, they are connected end to end so that the electric current flows through one resistor before flowing through the second one.In a series circuit, the equivalent resistance, req, is calculated as the sum of the individual resistances of the resistors connected in series.
Therefore, to find the equivalent resistance of two resistors in series, R1 and R2, we add the resistance values of the two resistors, as shown in the formula above.
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