felescope a's mirror has three times the diameter of telescope b,s. \-' how much greater is as light-gathering power?

Answers

Answer 1

The light gathering power of Telescope A is 9 times greater than that of B. Option D is the correct answer.

This means that even stars too faint to be detected by the eye can easily be 'brightened' by the telescope so that they are easy to detect and study. Light Gathering Ability is the property of an optical system that tells you how much brighter things will appear than what the human eye can see.

Light gathering power of telescope is proportional to the square of diameter of telescope. The diameter of telescope a is 3 times than that of telescope b.

\(\dfrac{P_a}{P_b} = \dfrac{d_a^2}{d_b^2}\)

\(\dfrac{P_1}{P_2} = \dfrac{3d_2^2}{d_2^2}\\\dfrac{P_1}{P_2} = 9\)

The light gathering power is 9 times that of telescope b.

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--The complete question is, Telescope A's mirror has three times the diameter of telescope B's. How much greater is A's light-gathering power?

A 3 times.

B 6 times

C 8 times.

D 9 times

E 27 times.--


Related Questions

a parachutist decided to jump of a plane calculate how far does he travels in 2 seconds knowing that he started at rest and accelerates downward at 10ms​

Answers

Answer:

20 meters

Explanation:

Given the following parameters

Time t = 2 seconds

Acceleration a = 10m/s²

Required

Distance covered S

Since the body started from rest, u = 0m/s

Using the equation of motion S = ut + 1/2 at²

Substitute

S = 0 + 1/2(10)(2)²

S = 5 * 2²

S = 5 * 4

S - 20m

Hence he travels 20 meters

Three identical rocks are launched with identical speeds from the top of a platform of height Oh. The rocks are launched in the directions indicated above.
Which of the following correctly relates the magnitude vy of the vertical component of the velocity of each rock immediately before it hits the ground?

Answers

Answer:

All rocks hit the ground with the same speed.

Explanation:

The magnitude of the vertical velocity under gravity changes by approximately 9.81 m/s each second

The option that correctly relates the magnitude, \(v_{y}\), of the vertical velocity is the option;

\((v_{y1} = v_{y1}) \geq v_{y3}\)

Reason:

The possible question options are; \((v_{y1} = v_{y1}) \geq v_{y3}\), \(v_{y1}> v_{y3} > v_{y2}\), \(v_{y2}> v_{y3} > v_{y1}\), \(v_{y1}= v_{y2} = v_{y3}\)

Known parameters;

The speed of the rocks = u

The height of the platform from which the rocks are thrown = h₀

The given direction in which the balls are thrown are;

Rock 1; Direction  = 45° above the horizontal

Rock 2; Direction = 45° below the horizontal

Rock 3; Direction = 0° or in the horizontal direction

The vertical component of the speed of Rock 1= -u·sin(45°)

Vertical component of the speed of Rock 2 = u·sin(45°)

Vertical component of the speed of Rock 3 = u·sin(0°) = 0

The velocity of the rock is given by

v² = u² - 2·g·h₀

\(v = \pm \sqrt{u^2 - 2 \cdot g \cdot h_0}\)

Where g is taken as negative, we have;

\(v = \pm \sqrt{u^2 + 2 \cdot g \cdot h_0}\)

Therefore, the vertical velocity the rocks, Rock 1 and Rock 2, thrown with magnitude of velocity, \(|v_y| = |u \cdot sin(45^{\circ})|\) is the same during the vertical motion of the ball at the same height, but change only in sign

\(At \ a \ given \ height, \ h_0, \ v_{y1} = v_{y2}\)

\(Therefore, \ before \ the \ rocks \ hit \ the \ ground, \ v_{y1} = v_{y2}\)

The initial vertical velocity of Rock 3, \(v_{y3}\) = 0, therefore;

\(v_{y3} = \pm \sqrt{0 + 2 \cdot g \cdot h_0} \leq \pm \sqrt{u^2 + 2 \cdot g\cdot h_0 } = (v_{y1} = v_{y1})\)

Therefore, for the correct option, we have;

\((v_{y1} = v_{y1}) \geq v_{y3}\)

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Three identical rocks are launched with identical speeds from the top of a platform of height Oh. The

An ice skater is going into a spin. To simplify the system, the skater’s body (legs, torso, head) has a moment of inertia of 1.719kgm^2. Each hand-arm can be modeled as a point of mass of 5.0kg. At the beginning of the spin, the masses are rotating at 0.50m/s with their arms extended so that the center of mass of the hand-arm is 0.60m from the axis of rotation. For the finale, the skater pulls their arm inward so that the hand-arm is 0.20m from the axis of rotation. What is the angular velocity of the skater during the finale?

Answers

The angular velocity of the skater during the finale is 2.18 rad/s.

The conservation of angular momentum is a principle in physics that states that the total angular momentum of a system remains constant if no external torques act on the system. Mathematically, this can be expressed as L1 = L2, where L1 is the initial angular momentum of a system, L2 is the final angular momentum of the system, and the total torque acting on the system is zero. This principle is analogous to the conservation of linear momentum, which states that the total linear momentum of a system remains constant if no external forces act on the system. The conservation of angular momentum is an important principle in many areas of physics, including mechanics, electromagnetism, and quantum mechanics.

We can use the conservation of angular momentum to solve this problem. The initial angular momentum of the skater and the hand-arms is given by:

L1 = I1 * w1

where I1 is the moment of inertia of the skater's body, and w1 is the initial angular velocity. Since the hand-arms are extended, their moment of inertia can be neglected.

When the skater pulls their arms inward, the moment of inertia of the system decreases. The final moment of inertia is given by:

I2 = I1 + 2md^2

where m is the mass of each hand-arm, d is the distance of the hand-arm from the axis of rotation, and we multiply by 2 since there are two hand-arms.

The final angular velocity w2 can be found by equating the initial and final angular momentum:

L1 = I1 * w1 = I2 * w2

Substituting the expressions for I1, I2, and simplifying, we get:

w2 = w1 * I1 / (I1 + 2m(d2^2 - d1^2))

where d1 is the initial distance of the hand-arm from the axis of rotation (0.60 m), and d2 is the final distance of the hand-arm from the axis of rotation (0.20 m).

Substituting the given values, we get:

w2 = 0.50 m/s * 1.719 kgm^2 / (1.719 kgm^2 + 2 * 5.0 kg * (0.20 m^2 - 0.60 m^2))

w2 = 2.18 rad/s

Therefore, The skater's angular velocity during the grand finale is 2.18 rad/s.

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boneless pizza boneless pizzaboneless pizza boneless pizzaboneless pizza boneless pizza

Answers

Answer:

pizza dont got no bone in it

Explanation:

Answer:

Pizza have no bones

Explanation:

Because it would be yucky

he difference between mass and weight. *

Answers

Mass is a fundamental measurement of how much matter an object contains. Weight is a measurement of the gravitational force on an object.

Alcohol can be considered a blank

Answers

Answer:

a depressant

Explanation:

According to current study, alcohol usage may increase a man's risk of depression in any circumstance. One explanation is that alcohol may cause a genetic defenselessness to the disorientation. Furthermore, because booze is a depressive, this may result in a discouraged frame of mind among persons who already mishandle or rely on drinking. Similarly, having a family who has struggled with alcoholism or depression increases your risk for both issues. Liquor may have a negative impact on sleep, which becomes a significant issue when you're depressed. Melancholy now trades rest quality by causing you to sleep excessively or insufficiently. When you add booze to the mix, your ability to obtain a good night's sleep is gone. Antidepressants, for example, may be used to relieve despondency. If you drink and take antidepressants at the same time, the consequence can be dangerous. For one thing, alcohol might dilute the stimulant's beneficial effects. Furthermore, drinking may have a stronger affect on you than usual, impairing your behavior.

Thanks

Strictly speaking, more fuel is consumed by your car if the air conditioner, headlights, or even a radio is turned on. this statement is?

Answers

Strictly speaking, more fuel is consumed by your car if the air conditioner, headlights, or even a radio is turned on. this statement is true.

Fuel economy is the opposite of fuel consumption. It is the quantity of fuel used to travel a specific distance. In the United States, it is measured in gallons for every 100 miles, while in Europe and other parts of the world, it is measured in litres for every 100 kilometres.

To determine your car's fuel consumption, divide mileage by fuel consumption. You can see here how many miles per gallon of petrol you travelled. For instance, if you filled up your tank with 12 gallons of gas and drove 335 miles before refuelling, your fuel consumption would be 27.9 mpg (335 miles / 12 gallons = 27.9 mpg).

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Why is the volume of water measured in milliliters but the volume of the blocks
and rocks measured in cm³?

Answers

Liquids have different densities, in this case, it's water so if you weigh kilograms of two liquids with different densities, they will weigh different quantities. Solids here block and rocks have much greater packing variability than liquids, so measuring by volume is not practical in terms of reproducibility.

When measured by volume, a liquid fills to a graduated level, and the volume of the liquid is the same regardless of its density. Different liquids have different densities, but even the same solid will have different densities depending on how hard it is shaken or packed.This is because the liquid will fill the vessel with no voids to ensure mass uniformity. The solid will not do this, and there will be voids when you try to put the solid into the container, and the volume of the void can vary depending on the particle size.

Therefore, even between identical substances, the mass cannot be uniform from unit volume to unit volume.

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When do scholars think kites were invented?
A. 2000 AD
B. 1000 BC
C. 12,000 BC
D. Never, there's no such thing as a kite

Answers

Answer:

kites where invented 2000 AD

so its A. 2000 AD

srry if it's wrong

Answer:

I guess no. A

Explanation:

approximately 2,800 years ago.

Hello I don’t quite understand this question I could really use some help thank you! :)

Hello I dont quite understand this question I could really use some help thank you! :)

Answers

The necessary to determine the amount of thermal energy applied to the water by the stove is option C. The initial temperature of the room, the initial mass of water, the specific heat of water, the latent heat of fusion of water, and the boiling point of water.

The latent heat of fusion, also known as enthalpy of fusion, is the quantity of strength that should be furnished to a solid substance (generally in the form of heat) so as to cause a trade in its bodily kingdom and convert it right into a liquid.

Thermal electricity refers to the energy contained inside a device that is chargeable for its temperature. heat is the go with the flow of thermal power. a whole branch of physics, thermodynamics, offers how heat is transferred between distinct systems and the way paintings is carried out inside the method (see the 1ˢᵗ regulation of thermodynamics.

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As insulators, dielecctrics are expected to prevent the passage of current through them. Their main funtion is to temporarily store harges for future use, which is definitely an advantage or a good thing. Likewise, when was the last time you did a good thing for the people arund you? Think of an unexpected at of goodwill, generosity, or kindness

Answers

The Dielectrics are indeed very useful as insulators and their ability to store charges for future use is highly beneficial in many applications. However, as an AI language model, I do not have personal experiences or emotions like humans do. Therefore, I cannot provide you with a specific example of a recent act of kindness or generosity.



The Nevertheless, I can encourage you to think about the positive impact that such actions can have on the people around you. Acts of goodwill and kindness can range from small gestures like holding the door open for someone or giving a compliment, to larger actions like volunteering or donating to a charitable cause. Being kind and generous not only benefits those around us, but it can also have positive effects on our own well-being and mental health. Research has shown that acts of kindness can release feel-good hormones like oxytocin, which can reduce stress and improve mood. In conclusion, while dielectrics serve a practical purpose in insulating and storing charges, it is important to also remember the value of kindness and generosity in our daily lives. By making small gestures of goodwill towards others, we can all contribute to a more positive and compassionate society.

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Plz help me

A negative charge of-3.0Cand a lositive charge of 3.0 Care separated by 1m, What is the force between the two
charges?

A negative charge of -0,5 Cexerts a repelling force of 10.0 N on a second charge that is 0.5m away. What is the sign
and magnitude of the second charge?
R21

Answers

Answer:

sign of the other charge is -ve

A runner is jogging in a straight line at a
steady vr= 7.1 km/hr. When the runner is
L= 3.3 km from the finish line, a bird begins
flying straight from the runner to the finish
line at vb= 28.4 km/hr (4 times as fast as
the runner). When the bird reaches the finish
line, it turns around and flies directly back to
the runner.

What cumulative distance does the bird
travel? Even though the bird is a dodo, assume that it occupies only one point in space
(a “zero” length bird), travels in a straight
line, and that it can turn without loss of
speed.
Answer in units of km.

Answers

The cumulative distance the bird travels is 4.4 km.

Time of motion of the bird

The time of motion of the bird is calculated from the principle of relative velocity.

distance covered by bird - distance of runner = distance between them

vb_t - vr_t = d

(vb - vr)t = d

where;

t is the time of motion

(28.4 - 7.1)t = 3.3

21.3t = 3.3

t = 3.3/21.3

t = 0.155 hr

Distance traveled by the bird within this time

d = 0.155 hr  x 28.4 km/h

d = 4.4 km

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PLS HELPPPP AHHHH I WILL MARK AS BRAINLIEST


Removing enough heat from a gas will change it to the_____ state.

Solid

Liquid

Gas

Answers

Answer:

Liquid

Explanation:

To turn liquid into gas, you add heat, to remove heat from gas, you make liquid.

A turntable must spin at 33.3 rev/min (3.49 rad/s) to play an old-fashioned vinyl record. How much torque must the motor deliver if the turntable is to reach its final angular speed in 1.70 revolutions, starting from rest? The turntable is a uniform disk of diameter 30.5 cm and mass 0.220 kg.

Answers

ANSWER:

0.00145 J

STEP-BY-STEP EXPLANATION:

Using the rotational form of the kinematic equation to find α:

\(\omega^2_f=\omega^2_i+2\alpha\theta\)

It started form rest:

\(\begin{gathered} \omega^{}_i=0\text{ rad/s} \\ \theta=1.7\text{ rev }=3.4\pi\text{rad} \end{gathered}\)

Solving for α:

\(\begin{gathered} \alpha=\frac{\omega^2_f}{2\theta} \\ \alpha=\frac{3.49^2}{2\cdot3.4\pi} \\ \alpha=0.57rad/s^2 \end{gathered}\)

The torque is given by the formula,

\(\begin{gathered} \tau=I\alpha \\ \text{for a uniform disk} \\ I=m\cdot\frac{r^2}{2},\text{ along the vertical a}\xi s\text{ in the center.} \\ \text{Therefore,} \\ \tau=m\cdot\frac{r^2}{2}\cdot\alpha,r=\frac{0.305}{2}=0.1525 \\ \text{ replacing} \\ \tau=0.22\cdot\frac{0.1525^2}{2}\cdot0.57 \\ \tau=0.00145\text{ J} \end{gathered}\)

which best describes a row of elements in the periodic table?

Answers

Answer:

well i know that the horizontal rows are called periods and the vertical ones are called groups

Explanation:

I don't really know what this question is exactly asking

HELP PLZ HELP !!!!!!!!!!!

HELP PLZ HELP !!!!!!!!!!!

Answers

Neon (10)
Sodium (11)
Silicon (14)
Iron (26)
Uranium (92)

Answer:

From least to greatest: Neon, Sodium, Silicon, Iron, Uranium

Explanation:

Here are all the atomic numbers for each one:

Iron = 26

Sodium = 11

Uranium = 92

Neon = 10

Silicon = 14

Hope this helps! :D

Object A has a temperature of 3 T. It comes in contact with Object B, which has a temperature of 2 T. Which of the following is true?(1 point)

Answers

1)heat will flow from object A to object b, 2)110,601J ,3)48, 4)you can change how easily electrons move through them,5)The electric field is all around the paper including between them,6) the last graph,7)gain as much energy as they lose, 8)a changing magnetic field produces an electric current, 9)discovering that a moving magnet generated a current in a conductor and proving that the magnitude of the current depended on the number of coils in the conductor,10)frequency,11)6km,12)The pitch gets higher because of an increase in frequency,13) the density of the medium, 14)The frequency of a sound does not affect the speed at which it travels,15)A and D, 16)Grass absorbs all light except for green, which it reflects,17)As temperature increases, the speed of sound increases because molecules in the medium collide more frequently,18)Yes, in certain situations, just like all particles, 19)particle model Decause the atom's electron absorps and emits eneray in discrete wavelengths, 20)9 x 107 J, 21)The number of electrons is equal to the number of protons,22)the daughter nuclide has one more proton and one less neutron than the parent nuclide,23)Away from Earth,24)time and amount or exposure

Here all all the answers took the test there all right

Both objects will have the same temperature,  larger than T but smaller than 2T.

What is the thermodynamic equilibrium?

A system in equilibrium if there is no change in temperature after long time.

Assuming the system of two objects with the temperatures 3T and 2T.

When we put them together, heat transfer from the hotter object to the colder one takes place, until both of them have the same temperature

Also, the object with temperature 3T loses temperature, while the object with temperature 2T increases its temperature,

2T < T < 3T

Thus, both objects will have the same temperature, which is larger than 2T but smaller than 3T.

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two ways in which the starting conditions in a protogalactic cloud might cause it to become an elliptical (rather than spiral) galaxy are if the cloud begins with either _________________.

Answers

Two ways in which the starting conditions in a protogalactic cloud might cause it to become an elliptical galaxy are if the cloud begins with either a lack of angular momentum or a high level of turbulence.

Lack of angular momentum: If the protogalactic cloud has a low initial angular momentum, it would result in the collapse of the cloud without significant rotation. As the cloud collapses, it would form a spheroidal or ellipsoidal shape, leading to the formation of an elliptical galaxy. Without sufficient angular momentum to drive the formation of a rotating disk, the gas and stars in the cloud would settle into a more centrally concentrated and elliptical configuration.
High level of turbulence: If the protogalactic cloud experiences high levels of turbulence during its collapse and formation, it can disrupt the process of disk formation. Turbulence can prevent the orderly alignment of gas and matter into a rotating disk structure, leading to the formation of an elliptical galaxy instead. The turbulent motions and random motions within the cloud can disrupt the coherent rotation necessary for the formation of a spiral structure, resulting in an elliptical galaxy characterized by a more random distribution of stars and gas.
These factors highlight how the initial conditions, particularly the angular momentum and turbulence, play a crucial role in determining the eventual shape and structure of a galaxy.

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Calculate the refractive index for a substance where the angle of incidence is 300 , the angle of refraction is 600 , and the refractive index of second substance is 1.5

Answers

Answer:

η₁ = 2.6

Explanation:

Here, we will use snell's law to calculate the refractive of the substance:

\(\frac{\eta_2}{\eta_1} = \frac{Sin\theta_1}{Sin\theta_2}\)

where,

η₁ = refractive index of first substance = ?

η₂ = refractive index of second substance = 1.5

θ₁ = angle of incidence = 30°

θ₂ = angle of refraction = 60°

Therefore,

\(\frac{1.5}{\eta_1} = \frac{Sin\ 30^0}{Sin\ 60^0}\)

η₁ = 2.6

31. Speakers A and B emit a pure sinusoidal tone of frequency 110 Hz and are in phase. The speed of sound is 330 m/s. The speakers are 4 m apart. What is the closest position to speaker A along a line connecting speakers A and B where an observer will find completely destructive interference from the two sources

Answers

The closest position to speaker A along the line connecting speakers A and B where an observer will find completely destructive interference is at a distance of 2.5 meters from speaker A

To find the position of destructive interference along the line connecting speakers A and B, we need to consider the path difference between the two sound waves.

The path difference between two waves at a point is given by the formula:

Δx = (m + 1/2) * λ

where Δx is the path difference, m is an integer representing the number of complete wavelengths, and λ is the wavelength of the sound wave.

In this case, we have two speakers emitting sound waves of frequency 110 Hz, which corresponds to a wavelength of approximately 3.0 m (calculated using the formula λ = v/f, where v is the speed of sound).

Since the speakers are 4 m apart, the closest position to speaker A with completely destructive interference occurs when the path difference is equal to half a wavelength, or λ/2. Thus, we can set up the following equation:

4 - Δx = λ/2

Simplifying the equation:

Δx = 4 - λ/2 = 4 - 3.0/2 = 4 - 1.5 = 2.5 m

Therefore, the closest position to speaker A along the line connecting speakers A and B where an observer will find completely destructive interference is at a distance of 2.5 meters from speaker A.

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The law of motion best demonstrated when a person in a wheelchair gains speed when he/she pushes on the rims is the_____________

Answers

The law of motion best demonstrated when a person in a wheelchair gains speed when he/she pushes on the rims is the Law of acceleration.

The relationship between an object's motion and the forces acting on it is outlined by Newton's laws of motion, which are three fundamental principles of classical mechanics. The following can be used to paraphrase these laws: Unless a force acts on a body, it stays at rest or moves in a straight line at a constant speed. The force acting on a body is equal to the time rate at which its momentum changes. When two bodies interact, forces are generated that are equal in magnitude but directed in different directions. These three laws of motion help us to understand how objects behave when standing still, when moving and when forces act upon them. According to Newton's second law, a body's acceleration is inversely related to its mass and directly related to the net force acting on it. Force and mass both affect how quickly an object accelerates.

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Sample Problem EAn electric space heater is connected across a 120 V outlet. The heater dissipates 1320 W of power in the form of electromagnetic radiation and heat. Calculate the resistance of the heater.

Answers

The resistance of the heater is 10.3 ohms.

The power (P) dissipated by the electric space heater is given by the formula P = V²/R, where V is the voltage across the heater and R is the resistance of the heater. In this case, the power is given as 1320 W and the voltage is given as 120 V. So we can rearrange the formula to solve for the resistance: R = V²/P. Substituting the given values, we get R = (120 V)² / 1320 W = 10.3 ohms. Therefore, the resistance of the heater is 10.3 ohm

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what is the velocity of a plane that traveled 5000 miles north followed by 10000 miles north in 20 miles?

Answers

Answer:

potential energy

Explanation:

potential energy

Chemical energy, the energy stored in chemical bonds, is thus considered a form of potential energy. Some everyday examples of potential energy include the energy of water held behind a dam, or of a person about to skydive out of an airplane.

The velocity of a plane that traveled 5000 miles north followed by 10000 miles north in 20 hours would be 750 miles/hour.

What is Velocity?

The total displacement covered by any object per unit of time is known as velocity. It depends on the magnitude as well as the direction of the moving object.

The mathematical expression for velocity is given by

velocity= total displacement/Total time

The total displacement of the plane = 5000 miles +10000 miles

                                                             =15000 miles

velocity =  displacement/Time

velocity =15000/20 hours

            =750 miles/hour  

Thus, the velocity of the plane would be 750 miles/hour.

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Your question seems incomplete, the complete question is,

what is the velocity of a plane that traveled 5000 miles north followed by 10000 miles north in 20 hours?

you have a mass of 50 kg and are pushed by a 100n force. on the surface of which planet would you have the largest acceleration?

Answers

On the surface of Jupiter, you would have the largest acceleration as it has the largest gravity, where a body with mass 50kg and force 100 N would experience an acceleration equal to 2 m/s². in general.

We are given that,

Force, F = 100N

Mass, m = 50 kg

According to Newton's second law of motion, force is gievn as the product of mass and acceleration, thus:

Acceleration, a = F/m

= 100/50

=2 m/s².

Thus, in general, an object with mass 50 kg and force applied as 100 N would have an acceleration equivalent to 2m/s².

On Earth, the gravitational force of the planet causes falling objects to accelerate by 9.8 m/s2, or 1 g. The best approach to explain the gravitational force on other planets is to express it as a percent of Earth's g-force.

As the largest planet, Jupiter should have the strongest gravitational pull, and this is really the case. Thus, an object would face the largest acceleration due to gravity on the planet Jupiter.

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What is the frequency of a raido wave with a wavelength of 1.0 mm?

Answers

Answer:

3×10^6

Explanation:

frequency is the speed of light ( c) which is a constant number divided the wavelength

f = 3×10^6 / 1.0

what is the hardest naturally occurring material on earth?

Answers

The hardest naturally occurring material on Earth is diamond. It has a rating of 10 on the Mohs scale of mineral hardness, which measures a material's resistance to scratching.

Diamond is composed of carbon atoms that are arranged in a crystalline structure, which gives it its unique properties.

It is formed under extreme pressure and temperature deep within the Earth's mantle and is brought to the surface through volcanic eruptions.

The hardness of diamond makes it an ideal material for use in cutting tools and abrasive applications.

It is used in the production of cutting and grinding tools, as well as in the manufacturing of jewelry and other decorative items.

Diamond's hardness also makes it highly valuable, as it is resistant to wear and maintains its luster over time.

Despite its hardness, diamond is not indestructible and can be damaged or even shattered under certain conditions.

Its hardness also varies depending on the direction of the crystal structure, which can make it difficult to cut or shape in certain ways.

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Ms. Reitman's scooter starts from rest and accelerates at 2.0 m/s2
What is the scooter's velocity after 2 s?

Answers

Answer: 4 m/s

Explanation:

The scooter's velocity after 2 seconds of its start will be 4 m/s.

State first equation of motion?

The first equation of motion is -

v = u + at

Given is Ms. Reitman's scooter that starts from rest and accelerates at

2 m/s².

We can write -

[a] = 2 m/s²

[t] = 2 s

Using the first equation of motion, we can write -

v = u + at

v = 0 + 2 x 2

v = 4 m/s

Therefore, the scooter's velocity after 2 seconds of its start will be 4 m/s.

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The mass of the train is 450000 kg.
Calculate the maximum possible speed of the train at the end of the first 4.0km of the
journey.

Answers

The maximum possible speed of the train at the end of the first 4.0 km of the journey is 0 m/s.

To calculate the maximum possible speed of the train at the end of the first 4.0 km of the journey, we can apply the principle of conservation of energy.

Assuming there are no external forces like friction or air resistance, the initial potential energy of the train will be converted into kinetic energy.

The potential energy (PE) of the train at the beginning of the journey can be calculated as PE = mgh, where m is the mass of the train, g is the acceleration due to gravity (approximately \(9.8 m/s^2\)), and h is the height difference (in this case, we assume it to be zero).

The kinetic energy (KE) of the train at the end of the 4.0 km journey can be calculated as \(KE = (1/2)mv^2\), where v is the velocity of the train.

Since the potential energy is converted into kinetic energy, we can equate the two expressions:

PE = KE

\(mgh = (1/2)mv^2\)

Simplifying and canceling out the mass:

\(gh = (1/2)v^2\)

Substituting the values, \(g = 9.8 m/s^2\)and h = 0, we get:

\((9.8 m/s^2)(0) = (1/2)v^2\)

Simplifying further:

\(0 = (1/2)v^2\)

This equation tells us that the maximum possible speed of the train at the end of the first 4.0 km of the journey is 0 m/s.

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A 2160 kg car moving east at 10.4 m/s collides with a 3250 kg car moving east. The cars stick together and move east as a unit after the collision at a velocity of 5.16 m/s. a) What is the velocity of the 3250 kg car before the collision? Answer in units of m/s. 009 (part 2 of 2) 10.0 points b) What is the decrease in kinetic energy during the collision? Answer in units of J.

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