Answer:
According to Einstein's theory of relativity, mass causes the curvature of space-time and this curvature is what we call gravity.
This means, fluctuations or disturbances of space-time produced by a massive accelerated body, are able to modify the distances and the dimensions of objects in an imperceptible way .
If we see the space-time as a huge fabric, and place two objects (one more massive than the other), both objects will bend this "fabric" and will be "attracted" to each other. Nevertheless, this "attraction" is due to the bending of the space around each object.
General relativity explains gravity as the curvature of spacetime caused by massive objects. It predicts phenomena like gravitational lensing, time dilation, and gravitational waves, which have been confirmed by experiments.
Explanation:General relativity, a theory proposed by Albert Einstein in 1916, explains gravity as a result of mass warping space and time.
According to general relativity, massive objects like planets and stars cause a curvature in the fabric of spacetime, and this curvature determines the paths of objects moving near them.For example, when light passes close to a massive object, such as a star, it follows a curved path because the spacetime around the star is curved. This effect is known as gravitational lensing.General relativity also predicts the existence of phenomena such as time dilation and gravitational waves, which have been confirmed by experiments. It provides a more accurate and comprehensive understanding of gravity compared to Newton's law of universal gravitation.Learn more about general relativity here:https://brainly.com/question/32769043
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What is the atomic bomb equivalent to a 7.0 earthquake
Answer:
199,000 tons.
Explanation:
A 7.0 earthquake has an equivalence of 199,000 tons of TNT.
friction heats up the brake pads of a car as it stops what is this an example of?
This an example of the law of Conservation of Energy.
The car has quite a bit of kinetic energy while it's rolling. If you want to stop it, you have to take that kinetic energy away from the car, AND you have to do something with that energy.
If it's an electric car or hybrid, you can turn the kinetic energy into electrical energy, put it back into the batteries, and use it again later.
If it's just an ordinary gas guzzler, there's no way to save the kinetic energy. You use the car's kinetic energy to scrape two rough surfaces together, that turns it into heat, and the air blows the heat away.
Next time you want the car to roll again, you have to make more, new, kinetic energy. So you take chemical energy out of more gas, and you use the motor to turn the chemical energy into kinetic energy.
It's all the law of Conservation of Energy ... in action.
When does a convex lens act like a magnifying glass
A convex lens functions as a magnifying glass when an object is positioned closer to it than its focal length, resulting in an enlarged, virtual, and upright image.
A convex lens acts like a magnifying glass when an object is placed within its focal length. In this situation, the image formed is virtual, upright, and larger than the object itself. When the object is closer to the lens than the focal length (f), the lens is capable of magnifying the object. This is referred to as a case 2 image. As the magnifier is pulled away from the object to the point of blurring, this indicates that the lens has reached the focal length. Beyond this distance, the image will become inverted. To effectively use a convex lens for magnification, the object must therefore be positioned at a distance closer than the lens's focal length (do < f).
If you travel for three hours at a speed of 30 km/h , how far will you go?
Distance = (speed) x (time) <== This is important. You should memorize it.
Distance = (30 km/hr) x (3 hr)
Distance = (30 x 3) (km/hr x hr)
Distance = 90 km
If you travel for three hours at a speed of 30 km / h, then you would go 90 kilometers in 3 hours.
What is speed?The total distance covered by any object per unit of time is known as speed. It depends only on the magnitude of the moving object. The unit of speed is a meter/second.
As given in the problem If you travel for three hours at a speed of 30 km/ h, then we have to find out the distance traveled in 3 hours.
The distance traveled in 3 hours = 30 × 3
= 90 km
Thus, If you travel for three hours at a speed of 30 km / h, then you would go 90 kilometers in 3 hours.
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What equation would you use to find the time taken for an object to travel a set distance?
Time = (the set distance) / (the object's traveling speed)
Atomic physicists usually ignore the effect of gravity within an atom. To see why, we may calculate and compare the magnitude of the ratio of the electrical force and gravitational force Fe Fg between an electron and a proton separated by a distance of 3 m. What is the magnitude of the electrical force? The Coulomb constant is 8.98755 × 109 N · m 2 /C 2 , the gravitational constant is 6.67259 × 10−11 m3 /kg · s 2 , the mass of a proton is 1.67262 × 10−27 kg, the mass of an electron is 9.10939 × 10−31 kg, and the elemental charge is 1.602 × 10−19 C. Answer in units of N. What is the ratio of the magnitude of the electrical force to the magnitude of the gravitational force? Answer in units of N.
Answer:
[tex]2.27\cdot 10^{49}[/tex]
Explanation:
The gravitational force between the proton and the electron is given by
[tex]F_G=G\frac{m_p m_e}{r^2}[/tex]
where
G is the gravitational constant
[tex]m_p[/tex] is the proton mass
[tex]m_e[/tex] is the electron mass
r = 3 m is the distance between the proton and the electron
Substituting numbers into the equation,
[tex]F_G=(6.67259\cdot 10^{-11} m^3 kg s^{-2})\frac{(1.67262\cdot 10^{-27}kg) (9.10939\cdot 10^{-31}kg)}{(3 m)^2}=1.13\cdot 10^{-68}N[/tex]
The electrical force between the proton and the electron is given by
[tex]F_E=k\frac{q_p q_e}{r^2}[/tex]
where
k is the Coulomb constant
[tex]q_p = q_e = q[/tex] is the elementary charge (charge of the proton and of the electron)
r = 3 m is the distance between the proton and the electron
Substituting numbers into the equation,
[tex]F_E=(8.98755\cdot 10^9 Nm^2 C^{-2})\frac{(1.602\cdot 10^{-19}C)^2}{(3 m)^2}=2.56\cdot 10^{-19}N[/tex]
So, the ratio of the electrical force to the gravitational force is
[tex]\frac{F_E}{F_G}=\frac{2.56\cdot 10^{-19} N}{1.13\cdot 10^{-68}N}=2.27\cdot 10^{49}[/tex]
So, we see that the electrical force is much larger than the gravitational force.
The ratio of the magnitude of the electrical force to the magnitude of the gravitational force will be 2.27×10⁴⁹.
What is electric force?Force on the particle is defined as the application of the force field of one particle on another particle. It is a type of virtual force.
The gravitational force is;
[tex]\rm F_G= \frac{Gm_1m_2}{r^2} \\\\ \rm F_G= \frac{6.67\times 10^{-11}1.67\times10^{-27}9.10\times10^{-31}}{(3m)^2}\\\\ \rm F_G=1.13\times10^{-68}[/tex]
The electrical force between the two charges is given by;
[tex]\rm F_E=K\frac{KQ_1Q_2}{r^2} \\\\ \rm F=9\times10^9\frac{1.6\times10^{-19}\times9.1\times10^{-31}Q_2}{(3)^2} \\\\ \rm F_E=2.56\times 10^{-19}[/tex]
So, the ratio of the electrical force to the gravitational force is
[tex]\rm R= \frac{F_E}{F_G} \\\\ \rm R= \frac{2.56\times10^{-19}}{1.13\times10^{-68}} \\\\ \rm R= 2.27\times 10^{49}[/tex]
Hence the ratio of the magnitude of the electrical force to the magnitude of the gravitational force will be 2.27×10⁴⁹.
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The main difference between a radio wave and a sound wave is their different
Answer:
Direction of oscillations
Explanation:
- Radio waves are part of the electromagnetic waves. Electromagnetic waves consist of oscillating electric and magnetic field. Electromagnetic waves are transverse, which means that the oscillation (of the fields) occurs in a direction perpendicular to the direction of propagation of the wave.
Electromagnetic waves are also the only type of waves that can travel through a vacuum, since they do not need a medium to propagate.
- Sound waves are mechanical waves, which consists of periodic disturbances of a medium. Sound waves are longitudinal, which means that the direction of their oscillation occurs parallel to the direction of propagation of the wave, creating alternating regions of higher density (compressions) and lower density (rarefactions) of particles.
Mechanical waves, unlike electromagnetic waves, always need a medium to propagate.
What type of light has the wavelength of:
(Show Work!)
A) 5.0 x 10^-4 m?
B) 2.4 x 10^-8 m?
C) 12mm?
Wavelength A (5.0 x 10⁻⁴ m) corresponds to visible light (green), B (2.4 x 10⁻⁸ m) corresponds to gamma rays, and C (12 mm) corresponds to microwaves in the electromagnetic spectrum.
Explanation:The types of light associated with different wavelengths can be understood by examining the electromagnetic spectrum.
A) 5.0 x 10⁻⁴ m (or 500 nm): This wavelength lies in the visible spectrum, particularly in the region that would appear as green light.B) 2.4 x 10⁻⁸ m (or 0.024 nm): This extremely short wavelength is characteristic of gamma rays, which are a form of ionizing radiation on the high-energy end of the electromagnetic spectrum.C) 12 mm: This wavelength is within the microwave range of the electromagnetic spectrum, which is used in various technologies including microwave ovens and certain communication devices.Which of the following statements about scientific models is accurate?
A.They are always more complex than the object, process, or system they represent.
B.They are always more simpler than the object, process, or system they represent.
C.They are always more smaller than the object, process, or system they represent.
D.They are always more larger than the object, process, or system they represent.
Answer:
They are always simpler than the object, process, or system they represent.
Explanation:
The crest of a water wave moves _________ to the direction the wave energy moves. Parallel perpendicular
Perpendicular
Explanation;The crest of a water wave moves perpendicular to the direction the wave energy moves.A transverse wave is a wave in which particles move up and down or side-to-side at right angles or perpendicular to the direction the wave travels.Examples of these waves are: vibrations in strings, ripples on water surface and electromagnetic waves. In a transverse wave, the particles of the medium oscillate in a direction perpendicular to the direction of propagation.A flashlight beam makes an angle of 60 degrees with the surface of the water before it enters the water. in the water what angle does the beam make with the surface? (nwater = 1.33)
a. 22o
b. 0o
c. 30o
d. 60o
e. 68o
When a flashlight beam enters water, it refracts and changes direction. Using Snell's law, we can calculate the angle the beam makes with the water's surface as approximately 41.81 degrees.
Explanation:When light enters a different medium, it changes direction. This phenomenon is called refraction. The angle at which light changes direction depends on the refractive indices of the two media involved. In this case, the light beam is passing from air (with a refractive index of 1.00) into water (with a refractive index of 1.33).
To find the angle the beam makes with the surface of the water, we can use Snell's law: n1 sinθ1 = n2 sinθ2, where n1 and n2 are the refractive indices of the two media, and θ1 and θ2 are the angles of incidence and refraction, respectively.
In this case, n1 = 1.00 (air) and n2 = 1.33 (water). The angle of incidence θ1 is given as 60 degrees. Plugging these values into Snell's law, we can solve for θ2:
n1 sinθ1 = n2 sinθ2
1.00 sin(60) = 1.33 sinθ2
0.866 = 1.33 sinθ2
sinθ2 ≈ 0.650
θ2 ≈ sin-1(0.650)
Using a calculator, we find that θ2 is approximately 41.81 degrees. Therefore, the beam makes an angle of about 41.81 degrees with the surface of the water.
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A person pushes on a 57-kg refrigerator with a horizontal force of 267 N; the - sign indicates that the force points in the +x direction. The coefficient of static friction is 0.65. (a) If the refrigerator does not move, what are the magnitude and direction of the static frictional force that the floor exerts on the refrigerator? (b) What is the magnitude of the largest pushing force that can be applied to the refrigerator before it just begins to move?
(a) -267 N
Explanation: if the refrigerator is not moving, it means that the net force acting on it is zero.
We are only interested in the motion along the horizontal direction; there are two forces acting in this direction:
- The pushing force, forward, F=+267 N
- The static frictional force, backward, [tex]F_f[/tex]
Since the net force must be zero, we have
[tex]F+F_f =0F_f = -F = -267 N[/tex]
(b) 363.1 N
The largest pushing force that can be applied to the refrigeratore before it begins to move is equal to the magnitude of the maximum static frictional force, which is given by:
[tex]F_f = \mu mg[/tex]
where
[tex]\mu=0.65[/tex] is the coefficient of static friction
m = 57 kg is the mass of the refrigerator
g = 9.8 m/s^2 is the gravitational acceleration
Substituting,
[tex]F_f = (0.65)(57 kg)(9.8 m/s^2)=363.1 N[/tex]
The static frictional force that the floor exerts on the refrigerator is 267 N in the -x direction. The largest pushing force that can be applied before the refrigerator starts to move is 362.59 N.
Explanation:The subject matter of this question falls under the branch of Physics, specifically dealing with static friction and the concept of force. To answer your questions:
(a) Magnitude and direction of static frictional forceStatic frictional force is equal to the applied force until the object starts to move. Here, you are applying a force of 267 N horizontally on the refrigerator. Since the refrigerator does not move, the static frictional force that the floor exerts on the refrigerator is also 267 N in the -x direction, opposite to the force you're applying.
(b) Magnitude of the largest pushing force before movementAt the point of impending motion, the force you apply equals the maximum static frictional force. This can be calculated using the following formula:
fs(max) = µsN
where µs represents the coefficient of static friction and N is the normal force. The value of N is calculated by multiplying the mass of the refrigerator by the acceleration due to gravity.
N = mg = (57 kg)(9.8 m/s²) = 558.6 N
Therefore, the largest pushing force fs(max) that can be applied to the refrigerator before it begins to move is :
fs(max) = (0.65)(558.6 N) = 362.59 N
So, a force greater than 362.59 N needs to be applied to make the refrigerator start moving.
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What is the strength of an electric field that will balance the weight of a 1.0 g plastic sphere that has been charged to −3.0nc?
Answer:
[tex]3.27\cdot 10^6 V/m[/tex]
Explanation:
In order to balance the weight of the sphere, the electric force must be equal in magnitude to the weight of the sphere:
[tex]F_E = qE=mg[/tex]
where
[tex]q=3.0nC=3.0\cdot 10^{-9} C[/tex] is the charge of the sphere (we can ignore the sign, since we are only interested in the magnitude of the force
E is the strength of the electric field
m = 1.0 g = 0.001 kg is the mass of the sphere
g = 9.81 m/s^2 is the gravitational acceleration
Solving the equation for E, we find the strength of the electric field:
[tex]E=\frac{mg}{q}=\frac{(0.001 kg)(9.81 m/s^2)}{3.0\cdot 10^{-9} C}=3.27\cdot 10^6 V/m[/tex]
To balance the gravitational force on a 1.0 g plastic sphere with a –3.0 nC charge, an electric field strength of 3.27×106 N/C is needed. The calculation is based on setting the electric force equal to the gravitational force and solving for the electric field strength.
Explanation:The strength of an electric field that will balance the weight of a 1.0 g plastic sphere that has been charged to –3.0 nC can be computed using the relationship between the electric force and the weight of the sphere. The weight of the sphere is the force due to gravity acting on it, which is Fg = mg, where m is mass and g is the acceleration due to gravity (9.8 m/s2). To balance this force, the electric force Fe = qE, where q is the charge and E is the electric field strength, must be equal in magnitude to the gravitational force. Hence, solving for E we get:
E = Fg / q
E = (0.001 kg)(9.8 m/s2) / –3.0×10–9 C
E = –9.8×103 N/kg / –3.0×10–9 C
E = 3.27×106 N/C
The negative sign indicates that the direction of the electric field opposes the negative charge. However, in terms of magnitude, the electric field strength required to balance the weight of the plastic sphere is 3.27×106 N/C.
Why do astronomers hypothesize that a massive black hole lies at the center of m87?
According to Einstein's theory of relativity, a black hole is a "singularity" that consists of a region of the space in which the density of matter tends to infinity. In consequence, this huge massive body has a gravitational pull so strong that not even light can escape from it.
In addition, "the surface" of a black hole is called the event horizon, which is the border of space-time in which the events on one side of it can not affect an observer on the other side.
In other words, at this border also called "point of no return", nothing can escape (not even light) and no event that occurs within it can be seen from outside.
In this sense, and according to the relativity, it is possible to determine where a black hole is if it is "observed" an enormous amount of energy released. So, in accordance to this, galaxies like ours must have a black hole in its center.
On the other hand, the elliptical galaxy Mesier 87 (also called Virgo A, but from now on M87) was showing the above described behaviour, with enormous jets of high-energy particles shooting away from its vicinity . This was imaged by the Hubble Space Telescope years ago; that is why astronemers were hypothesizing about the existence of a massive black hole there.
Well now, on April, 10th 2019 this was demonstrated with the publication of the image, for the first time, of the event horizon of the black hole in M87. This is the first time in human history a picture of a black hole is taken.
This was done by the huge effort of diverse scientist and by the syncronization of eight radio telescopes scattered across the Earth (located at: Hawaii, Spain, Chile, Mexico, Arizona and the South Pole), which took the same point of the sky at the same time.
Sound waves that start in air can move into water. This is because it is __________ that is transferred and not_____________ . A) waves, matter B) energy, waves C) energy, particles D) particles, energy
The answer is C
Sounds is just energy think about it in outer space. How does light from the sun make it to earth but sounds from the solar flares don’t that’s because light has its own particles to travel through but sound doesn’t so it needs a media to travel through
Answer:
Sound waves that start in air can move into water. This is because it is ENERGY that is transferred and not PARTICLES .
C) Energy, Particles
Explanation:
Wave propagation is the transfer of energy or disturbance through the medium.
Here we know that when energy is transferred through the medium the medium particles will remains at their own position and energy is transferred from one particle to other without the displacement of the medium from their own position.
So here in waves the energy is transmitted through the medium while the medium will remain at its own position
So correct answer will be
Sound waves that start in air can move into water. This is because it is ENERGY that is transferred and not PARTICLES .
A student wants to demonstrate entropy using the songs on her portable music player. What should she do to demonstrate the highest entropy?
A.Play only the classical songs on shuffle.
B.Play all the songs in order by artist.
C.Play all the songs on shuffle.
D.Play all the songs in alphabetical order.
play all the songs in alphabetical order
How much charge does a 9.0 v battery transfer from the negative to the positive terminal while doing 45 j of work?
Here is your answer
[tex]<b>5 coulomb </b>[/tex]
REASON :
We know that
Potential difference, V= W/q
where, W is work done
and, q is magnitude of charge
Given,
V= 9.0 v and W= 45 J
So,
using above relation, we get
9= 45/q
q= 45/9
q= 5 coulomb
HOPE IT IS USEFUL
Mechanical advantage allows you to apply a force over a what distance to what the distance an object moves
Mechanical advantage allows you to apply a force over a short distance to increase the distance and object moves.
What is the velocity of a wave having a frequency of 25 Hz and a wavelength of 10m
Wave speed = (frequency) x (wavelength)
Speed = (25 /sec) x (10 m)
Speed = (10 x 25) (m/s)
Speed = 250 m/s
The velocity of a wave is the product of its frequency and wavelength. Velocity of a wave having a frequency of 25 Hz and a wavelength of 10 m is 250 m/s.
What is frequency?Frequency of a wave is the number of cycles per second. It is the inverse of the time taken to travel by a wave. Thus, the unit of frequency is s⁻¹ which is equivalent to the unit Hz.
Wavelength of an wave is the distance between two consecutive crests, troughs. Wavelength and frequency is inverse relation. Thus, longer wavelength have lower frequency.
The relation between wavelength, frequency and velocity of a wave is written as below:
[tex]u = v\lambda[/tex]
Where, u is the velocity of wave and lambda is the wavelength and v is the frequency.
The velocity of wave with a frequency of 25 Hz and wavelength 10 m is calculated as follows:
velocity = frequency × wavelength
= 25 Hz × 10 m
= 250 m/s
Hence, velocity of a wave having a frequency of 25 Hz and a wavelength of 10 m is 250 m/s.
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A bacterium called Bacillus thuringiensis (B.T.) contains a protein that can kill cotton ballworms and certain other kinds of caterpillars. A different bacterium called Agrobacterium tumefaciens has the ability to insert its genetic material into plants. Scientists in the late twentieth century took a gene from (B.T.) and inserted it into specimens of Agrobacterium tumefaciens. Genetic material from the Agrobacterium tumefaciens specimens was then inserted into cotton plants. The goal of these tests was to reduce caterpillar infestation in the cotton plants. These tests are an example of A. Natural selection. B. Meiotic cell division C. Creating purebred species. D. Genetic engineering.
Explanation:the answer is a genetic engirnering
To create a Bt crop variety, plant scientists choose a specific Bt toxin gene and inject it into the developing cells of corn or cotton plants. The resulting mature plant has the Bt gene in each of its cells and expresses the insecticidal protein in its leaves.Thus, option D is correct.
What role of Bacillus thuringiensis in Genetic engineering?The cotton bollworm, Asian and European corn borers, and other damaging insect larvae are all paralysed by a protein produced by Bt, which is a widespread plant pest whose infestations have disastrous impacts on essential crops.
The gene of interest in Bt corn creates a protein that destroys Lepidoptera larvae, specifically the European corn borer. The donor organism in this case is a naturally occurring soil bacterium called Bacillus thuringiensis.
Therefore, The goal of these tests was to reduce caterpillar infestation in the cotton plants. These tests are an example of Genetic engineering.
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Consider two bicycle riders, A and B. The two riders have equal masses Mrider A = Mrider B and their respective bicycles also have similar frames, Mframe A = Mframe B . Finally, the wheels of the two bicycles have equal masses Mwheel A = Mwheel B and equal radii R wheel A = R wheel B but different mass distributions: the wheels of bike A have most of their masses at the rims, Wheel A, while the wheels of bike B have their masses ‘spread’ evenly over the whole wheel area, Wheel B. The two cyclists travel at the same speed on level ground. They approach a low hill and decide to coast up instead of hard pedalling. At the top of the hill, which of the two bikes will have a larger speed? Assume no friction nor air resistance, and all the wheels roll on the ground without slipping.
In a scenario where two bikes with different wheel mass distributions coast up a hill, the bike with more mass at the wheel's rim (wheel A) will maintain a greater speed due to a larger rotational inertia. That's because more kinetic energy is stored in rotational motion, which is more efficient in maintaining speed uphill.
Explanation:The subject here is physics shedding light on the concept of rotational inertia with a scenario involving two bicycle riders, A and B, on a hill. With all mass and physical attributes being equal, differences in how the mass distribution is in their bicycle wheels would determine how they would coast up a hill.
In this scenario, the bicycle A's wheel with most of its mass at the rims (wheel A) would have a larger rotational inertia than the wheel of bicycle B which has its mass evenly distributed. When they coast up the hill, rider A will maintain a greater speed to the top because the cyclists first store energy in the wheels during pedaling. The wheel with greater rotational inertia (wheel A) will then lose less speed because it retains more of that energy.
This happens because, in the case of rolling objects, kinetic energy gets split between rotational and linear motion. The distribution of mass influences how the kinetic energy is split. For wheel A with more mass towards the rim, more kinetic energy goes into rotational motion which does a better job at maintaining the speed uphill.
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In the given scenario, bike B, with its wheel mass evenly distributed, will reach the top of the hill at a higher speed due to the relationship between the moment of inertia and kinetic energy.
Explanation:This question requires an understanding of the physics concepts of rotational motion and moment of inertia. The two bikes are identical in every aspect except the distribution of mass in their wheels. The bike A wheel, with most of its mass at the rim, has a higher moment of inertia. As the bikes coast upwards without pedaling, the kinetic energy is converted to potential energy. The kinetic energy has two forms: translational and rotational. The bike with the higher moment of inertia (bike A) will have a larger proportion of its energy in rotational form. When they reach the incline, both will begin converting potential energy back into kinetic, but because bike A has a higher portion as rotational, it will have less translational (directly related to speed) compared to bike B. Therefore, bike B will reach the top with a higher speed.
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What fundamental frequency would you expect from blowing across the top of an empty soda bottle that is 24 cm deep
a: Blowing across the top of an empty soda bottle (24 cm deep) gives a fundamental frequency of about 714.58 Hz for the assumed closed tube.
b: Filling the bottle with soda to a height of 15 cm increases the fundamental frequency to about 1143.33 Hz.
a: To determine the fundamental frequency of a closed tube, we can use the formula f = v/2L, where f is the frequency, v is the speed of sound, and L is the length of the tube. In this case, the bottle acts as a closed tube, and its depth (24 cm) corresponds to half of the wavelength.
[tex]\( f_a = \frac{343 \, \text{m/s}}{2 \times 0.24 \, \text{m}} = 714.58 \, \text{Hz}.\)[/tex]
Therefore, the expected fundamental frequency when blowing across the top of the empty soda bottle is approximately 714.58 Hz.
b: If the bottle is filled with soda up to a height of 15 cm, the effective length of the closed tube is reduced. Using the same formula,
[tex]\( f_b = \frac{343 \, \text{m/s}}{2 \times 0.15 \, \text{m}} = 1143.33 \, \text{Hz}.\)[/tex]
Therefore, the expected fundamental frequency with a soda height of 15 cm is approximately 1143.33 Hz.
The question probable maybe:
a: What fundamental frequency would you expect from blowing across the top of an empty soda bottle that is 24 cm deep, if you assumed it was a closed tube? The speed of sound in air is 343 m/s.
b: What fundamental frequency would you expect if the bottle was filled with soda for height of 15 cm ?
Starting from rest, a disk rotates about its central axis with constant angular acceleration. in 6.00 s, it rotates 44.5 rad. during that time, what are the magnitudes of (a) the angular acceleration and (b) the average angular velocity? (c) what is the instantaneous angular velocity of the disk at the end of the 6.00 s? (d) with the angular acceleration unchanged, through what additional angle (rad) will the disk turn during the next 6.00 s?
a. The disk starts at rest, so its angular displacement at time [tex]t[/tex] is
[tex]\theta=\dfrac\alpha2t^2[/tex]
It rotates 44.5 rad in this time, so we have
[tex]44.5\,\mathrm{rad}=\dfrac\alpha2(6.00\,\mathrm s)^2\implies\alpha=2.47\dfrac{\rm rad}{\mathrm s^2}[/tex]
b. Since acceleration is constant, the average angular velocity is
[tex]\omega_{\rm avg}=\dfrac{\omega_f+\omega_i}2=\dfrac{\omega_f}2[/tex]
where [tex]\omega_f[/tex] is the angular velocity achieved after 6.00 s. The velocity of the disk at time [tex]t[/tex] is
[tex]\omega=\alpha t[/tex]
so we have
[tex]\omega_f=\left(2.47\dfrac{\rm rad}{\mathrm s^2}\right)(6.00\,\mathrm s)=14.8\dfrac{\rm rad}{\rm s}[/tex]
making the average velocity
[tex]\omega_{\rm avg}=\dfrac{14.8\frac{\rm rad}{\rm s}}2=7.42\dfrac{\rm rad}{\rm s}[/tex]
Another way to find the average velocity is to compute it directly via
[tex]\omega_{\rm avg}=\dfrac{\Delta\theta}{\Delta t}=\dfrac{44.5\,\rm rad}{6.00\,\rm s}=7.42\dfrac{\rm rad}{\rm s}[/tex]
c. We already found this using the first method in part (b),
[tex]\omega=14.8\dfrac{\rm rad}{\rm s}[/tex]
d. We already know
[tex]\theta=\dfrac\alpha2t^2[/tex]
so this is just a matter of plugging in [tex]t=12.0\,\mathrm s[/tex]. We get
[tex]\theta=179\,\mathrm{rad}[/tex]
Or to make things slightly more interesting, we could have taken the end of the first 6.00 s interval to be the start of the next 6.00 s interval, so that
[tex]\theta=44.5\,\mathrm{rad}+\left(14.8\dfrac{\rm rad}{\rm s}\right)t+\dfrac\alpha2t^2[/tex]
Then for [tex]t=6.00\,\rm s[/tex] we would get the same [tex]\theta=179\,\rm rad[/tex].
A 405 Hz tuning fork and a piano key are struck together, and no beats are heard. When a 402 Hz tuning fork and the same piano key are struck, three beats are heard. What is the frequency of the piano key?
The difference between the frequencies of the piano key and the tuning fork gives the frequency of the beats.
When the tuning fork is 405 Hz, and no beats are heard, then the piano key is also 405 Hz.
When the piano key is 405 Hz and the tuning fork is 402 Hz, then 405 - 402 = 3 beats are heard.
The piano key is 405 Hz.
Final answer:
The frequency of the piano key is 405 Hz, as it matches one tuning fork without producing beats and creates a beat frequency of 3 Hz with the other tuning fork.
Explanation:
To determine the frequency of the piano key, we analyze the beat phenomena observed with tuning forks of known frequency. When two sound waves of slightly different frequencies are played together, they produce a phenomenon known as beats. The frequency of the beats is the absolute difference between the two frequencies. If no beats are heard, it means the two sounds have the same frequency. Thus, when the 405 Hz tuning fork and the piano key are struck together and no beats are heard, the piano key's frequency is 405 Hz. However, with the 402 Hz tuning fork, three beats per second are heard, indicating a difference of 3 Hz. Therefore, the piano key must be producing a frequency of either 402 Hz + 3 Hz = 405 Hz or 402 Hz - 3 Hz = 399 Hz. Since 405 Hz was established as producing no beats with the piano key, the frequency of the piano key is confirmed to be 405 Hz.
Two Earth satellites, A and B, each of mass m, are to be launched into circular orbits about Earth's center. Satellite A is to orbit at an altitude of 5970 km. Satellite B is to orbit at an altitude of 21200 km. The radius of Earth REis 6370 km. (a) What is the ratio of the potential energy of satellite B to that of satellite A, in orbit? (b) What is the ratio of the kinetic energy of satellite B to that of satellite A, in orbit? (c) Which satellite (answer A or B) has the greater total energy if each has a mass of 28.8 kg? (d) By how much?
(a) 0.448
The gravitational potential energy of a satellite in orbit is given by:
[tex]U=-\frac{GMm}{r}[/tex]
where
G is the gravitational constant
M is the Earth's mass
m is the satellite's mass
r is the distance of the satellite from the Earth's centre, which is sum of the Earth's radius (R) and the altitude of the satellite (h):
r = R + h
We can therefore write the ratio between the potentially energy of satellite B to that of satellite A as
[tex]\frac{U_B}{U_A}=\frac{-\frac{GMm}{R+h_B}}{-\frac{GMm}{R+h_A}}=\frac{R+h_A}{R+h_B}[/tex]
and so, substituting:
[tex]R=6370 km\\h_A = 5970 km\\h_B = 21200 km[/tex]
We find
[tex]\frac{U_B}{U_A}=\frac{6370 km+5970 km}{6370 km+21200 km}=0.448[/tex]
(b) 0.448
The kinetic energy of a satellite in orbit around the Earth is given by
[tex]K=\frac{1}{2}\frac{GMm}{r}[/tex]
So, the ratio between the two kinetic energies is
[tex]\frac{K_B}{K_A}=\frac{\frac{1}{2}\frac{GMm}{R+h_B}}{\frac{1}{2}\frac{GMm}{R+h_A}}=\frac{R+h_A}{R+h_B}[/tex]
Which is exactly identical to the ratio of the potential energies. Therefore, this ratio is also equal to 0.448.
(c) B
The total energy of a satellite is given by the sum of the potential energy and the kinetic energy:
[tex]E=U+K=-\frac{GMm}{R+h}+\frac{1}{2}\frac{GMm}{R+h}=-\frac{1}{2}\frac{GMm}{R+h}[/tex]
For satellite A, we have
[tex]E_A=-\frac{1}{2}\frac{GMm}{R+h_A}=-\frac{1}{2}\frac{(6.67\cdot 10^{-11})(5.98\cdot 10^{24}kg)(28.8 kg)}{6.37\cdot 10^6 m+5.97\cdot 10^6 m}=-4.65\cdot 10^8 J[/tex]
For satellite B, we have
[tex]E_B=-\frac{1}{2}\frac{GMm}{R+h_B}=-\frac{1}{2}\frac{(6.67\cdot 10^{-11})(5.98\cdot 10^{24}kg)(28.8 kg)}{6.37\cdot 10^6 m+21.2\cdot 10^6 m}=-2.08\cdot 10^8 J[/tex]
So, satellite B has the greater total energy (since the energy is negative).
(d) [tex]-2.57\cdot 10^8 J[/tex]
The difference between the energy of the two satellites is:
[tex]E_B-E_A=-2.08\cdot 10^8 J-(-4.65\cdot 10^8 J)=-2.57\cdot 10^8 J[/tex]
A 193nm-wavelength UV laser for eye surgery emits a 0.500mJ pulse. (a) How many photons does the light pulse contain?
Using the equation E = hc/λ we can find out how much energy a single photon of wavelength 193 nm has. E = Planck Constant * Speed of Light/193 nm
Answer:
The number of photons is 4.8x10^14
Explanation:
The frequency of wave is equal to:
[tex]f=\frac{c}{l}[/tex]
where c is the speed of light, l is the wavelength of wave. Replacing values:
[tex]f=\frac{3x10^{8} }{193x10^{9} } =1.5x10^{15} Hz[/tex]
The energy of the proton is:
[tex]E=hf[/tex]
where h is the Planck´s constant. Replacing
[tex]E=6.626x10^{-34}*1.5x10^{5}=1.03x10^{-18} J[/tex]
The number of photons is:
[tex]n=\frac{E1}{E}[/tex]
where E1 is the energy of photon. Replacing:
[tex]n=\frac{0.5x10^{-3} }{1.03x10^{-18} }=4.8x10^{14}[/tex]
Based on the second law of thermodynamics why must a machine always be less than 100% efficient?
A.Heat never moves from cold to hot.
B.Heat is never converted completely into mechanical energy.
C.Heat never flows from hot to cold.
D.Entropy never increases.
heat never moves from cold to hot
Heat is never converted completely into mechanical energy APEX
What is the kinetic energy of a 30 gram ball that is rolling at a speed of 2 meters per second
Answer:
0.06 J
Explanation:
The kinetic energy of an object is given by:
[tex]K=\frac{1}{2}mv^2[/tex]
where
m is the mass of the object
v is the speed
For the ball in this problem,
m = 30 g = 0.030 kg
v = 2 m/s
Therefore, the kinetic energy of the ball is
[tex]K=\frac{1}{2}(0.030 kg)(2 m/s)^2=0.06 J[/tex]
How does latitude affect climate?
Latitude controls the angle of tilt for Earth’s axis.
Latitude determines the duration of daylight hours.
Latitude causes air temperatures to remain cool at higher elevations.
Latitude causes ocean currents to move in a certain direction.
Answer:
The CORRECT ANSWER is Latitude determines the duration of daylight hours on E2020
The way in which latitude affect climate is: B. Latitude determines the duration of daylight hours.
Climate can be defined as the long-term average atmospheric conditions (weather) prevailing in a specific region and persists for a very long period of time.
Latitude refers to a geographic coordinate that specifies the angular distance of a place North or South of the Earth's surface, which is usually expressed in degrees and minutes.
In Science, latitude is the most important factor that influences the climate of a region because it determines the amount of sunlight that are received in a particular region.
In conclusion, latitude affect climate because it determines the duration of daylight hours.
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The fundamental force underlying all chemical reactions is
A) gravitational.
B) nuclear.
C) centripetal.
D) electrical.
E) none of these.
D) Electrical
Electrical Force:
Electric forces are responsible for almost every single chemical reaction that occurs in your body. Almost all of biochemistry relies on understanding how these forces cause electrons to move between atoms, and the changes in the structure or composition that occur when electrons move between atoms.Electrostatic forces become important when particle material is electrically insulating so the electric charge can be retained.For example: The charge in a bulb. Electric circuits.Thus, option D is correct.
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The fundamental force underlying all chemical reactions is electrical. Hence option D is correct.
Almost every chemical reaction that takes place in your body is triggered by electric forces. Understanding how these forces drive electrons to travel between atoms and the alterations in the structure or composition that result from this movement are essential to almost all of biochemistry.
When particle material is electrically insulating enough that the electric charge may be maintained, electrostatic forces become significant. For instance: a bulb's charge. electrical networks.
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