A 2.5 newton weight falls freely from rest from the roof of a building. What is the total distance the weight falls in the first 4.0 seconds?

Answers

Answer 1

Answer:

Explanation:

L = g·t² / 2 = 9.8·4.0² / 2 = 78.4 m


Related Questions

should the speed at which a magnet is moved through a coil of wire affect the measured peak voltage across the coil? if so, how?

Answers

Yes it will affect the number of magnetic field lines travelling through the coil changes when the magnet is moved inside a coil of wire.

How is the first law of Faraday formulated?

The first and second laws of electrolysis by Faraday, which are as follows, govern the electrolysis process: The charge (mQ m Q) has a direct relationship with the mass of material liberated (or deposited).

According to Faraday, the variation in the number of field lines traversing the wire coil is what creates the induced electromagnetic field (EMF) in the loop. The rate of change in the number of magnetic field lines that pass through the loop, in particular, is what determines the induced emf. The term "magnetic flux" is similar to the term "electric flux," and it refers to the number of field lines that are passing through a surface.

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you throw a rock straight down with an initial speed of 5 m/s. It took 4.5 seconds to hit the ground below. How high was the cliff?

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The height of the cliff is 121.75 m.

What are the equation of motion?

An equation of motion, describes the behavior of a physical system in terms of motion as a function of time. More specifically, the equations of motion describe the behavior of a physical system as a set of mathematical functions related to dynamic variables. The equations of motion are:

v = u + atut + 1/2 at²v² = u² + 2as

For the given case we will use the following equation:

s = ut + 1 / 2 gt²

s = Height of the cliff

u = Initial velocity of rock (5 m/s)

a = Gravitational acceleration (9.8 m/s²)

t = Time (4.5 sec.)

s = (5 × 4.5) + ( 1 / 2 × 9.8 × 4.5² )

s = 22.5 + 99.25

s = 121.75 m

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an ac adaptor for a telephone answering unit uses a transformer to reduce the line voltage of 80 v (rms) to a voltage 9.8 v. the rms current delivered to an answering system is 392 ma. if the primary (input) coil in the transformer in the adaptor has 170 turns, how many turns are there on the secondary (output) coil? answer in units of turns.

Answers

The secondary coil of the transformer is 21 turns.

We need to know about transformers to solve this problem. The transformer is a device that changes the output voltage by using different turns on its coil. The ratio of output voltage and input voltage should follow this equation

Vo / Vi = Ns / Np

where Vo is output voltage, Vi is input voltage, Ns is secondary turns and Np is primary turns.

From the question above, the given parameters are

Vi = 80 V

Vo = 9.8 V

Np = 170 turns

By using the equation, we can calculate the secondary turns

Vo / Vi = Ns / Np

80 / 9.8 = 170 / Ns

Ns = 170 . 9.8 / 80

Ns = 20.825

Thus we can round the secondary turns to 21.

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Resonant standing waves are excited on a string that is fixed at both ends. The speed of the superposed traveling waves that yield the standing wave increases if.

Answers

When the tension in the string is reduced, the speed of the traveling waves that combine to form the standing wave accelerates.

What does conflict between people mean?

When people are uneasy, distrustful of one another, and there is a chance of an unexpected act of violence or conflict, tension is the result. There is a good chance that the two nations' conflict will persist. Synonyms include conflict, animosity, uneasiness, and antagonism. More words for tension.

What's a good instance of tension?

The force of compression opposes the tension. Each object in the scene that is in contact with another one applies a force to the other. Pulling a rope provides the best demonstration of a tension force. There is a large amount of tension created in the rope when a pull force is applied.

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what measure do seismologists use to calculate the distance from a seismic receiving station to the epicenter of an earthquake? group of answer choices the time interval between the first p wave and the last surface wave the magnitude of the ground acceleration of surface wave passing a receiving station the time elapsed between the first p wave arrivals from the first and last aftershocks the time interval between the arrivals of the first p and s waves the amplitude of the strongest s wave

Answers

Option A - the time interval between the first P-wave and first S-wave arrivals is correct.

Determine the difference between the first P-wave and the first S-arrival wave's periods, and then use that information to calculate the distance of the epicenter from the seismic recording station.

The study of elastic wave motion through the ground is known as seismology. Seismology of earthquakes is the finest method for investigating the earth's core. A portion of the energy released after an explosion or earthquake is transported through the earth as elastic waves. Stresses increase in the crust as the lithospheric plates of the Earth continue their sluggish motion, particularly close to the plate borders. Compression, tension, and shear stresses increase in the crust until they exceed the resistance of the rock or the friction along an existing fault. Then, an abrupt rock slide along a fault happens. The rocks lurch to their new location in a matter of seconds, and the ground trembles as the stress energy is released. Similar to growing ripples from a pebble thrown in still water, seismic waves propagate outward from the area of the fault that ruptured.

To clarify the options an image is attached.      

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a skier traveling 11.0 m/s reaches the foot of a steady upward incline and glides 15 m up along this slope before coming to rest. what was the average coefficient of friction?

Answers

The average coefficient of friction of the track on which the skier is travelling is 0.59.

According to work energy theorem, the work done by conservative forces and the non conservative forces on the body is equal to the change in kinetic energy of the body.

So here, we know that the skier is travelling with a speed of 11m/s and he glide a distance of 15 m.

Here, we can write,

Mgd + uMgd = ∆K

Where M is the mass of the body,

g ji is the acceleration due to gravity,

d is the distance travel by the glider,

K is the change in kinetic energy,

U is the coefficient of friction.

Putting values,

Mgd + uMgd = 1/2Mv²

2(gd + ugd) = v²

u = (v²/2-gh)/gd

u = ((11)²/2 -10×15)/10×15

u = 0.59

So, the average coefficient of friction is 0.59.

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6. what is the origin of the acceleration cue when in hover mode at 4 ktgs? in hover mode at 7 ktgs? in transition mode at 50 ktgs?

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When the velocity vector is less than its maximum scale, the tip of the vector serves as the origin of the acceleration cue (6 KTGS). When the velocity vector is at or above maximum scale, the center of the LOS reticle serves as the origin of the acceleration cue.

Where does maximal velocity occur?

Knowing that the system is in equilibrium at y=0, or when displacement and acceleration are both equal to zero, is known as the velocity maxima. As a result, the maximum velocity in simple harmonic motion at a given place can be calculated using the formula v=A. A velocity vector shows the rate of change in an object's position. The magnitude of a velocity vector represents an object's speed, whereas the vector's direction represents an object's direction. The apex—the highest point on any trajectory—is reached when vy=0. Given that we are aware of the initial location, initial and final velocities, and initial position, we may determine y using the equation v2y=v20y2g(yy0).

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two cars collide inelastically and stick together after the collision. before the collision, the magnitudes of their momenta are p1 and p2 . after the collision, what is the magnitude of their combined momentum?

Answers

the magnitude of their combined momentum is p=p1+p2

In Newtonian mechanics, an object's mass and velocity are combined to create momentum, more precisely linear momentum or translational momentum. It is a vector quantity with a magnitude and a direction. When an object's mass (m) and velocity (v), which is also a vector quantity, are known, the result is the object's momentum.

The kilogram meter per second (kg m/s), which is equated to the newton-second in the International System of Units (SI), is the unit used to measure momentum.

According to Newton second law of motion, a body's rate of momentum change is equal to the net force acting on it. While momentum varies depending on the frame of reference, it is a conserved quantity in every inertial frame.

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you toss a ball straight upward so it leaves your hand at a speed of 10.1 m/s. if the 3.3 kg ball started at rest and the tossing action lasted 0.33 s, what was the strength of the force exerted on the package by your hand?

Answers

The strength of the force exerted on the package by your hand: 101 N

We know v = u+at

v =10.1 m/s

u = 0

t =0.33 s

10.1 = 0+a*0.33

10.1 = a*0.33

a = 30.6 m/s^2

Force exerted F = ma

= 3.3*30.6

= 101

F = 101 N

What is Force ?

A force is an effect that can change the motion of an object. Under the influence of a force, an object with mass can change its speed (e.g. move from standstill), i.e. to speed up A force can also be intuitively described  as a push or a pull. A force has both magnitude and direction, so it is a vector quantity. It is measured in  SI units Newton (N). Power is represented by the symbol F (formerly P).

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a thin oil slick (index of refraction 1.50) floats on water (index of refraction 1.33). when a beam of white light strikes this slick at normal incidence from air, the only enhanced reflected colores are red (650nm) and violet (390 nm). what is the minimum thickness of the oil

Answers

The oil slick measures 325 nm thick, at the very least. There are a few methods for measuring slicks between 0.1 and 10 m (0.0001-0.001 mm), but these aren't helpful for oil spill cleanup.

What is an oil slick known as?

An oil spill is the inadvertent release of a liquid petroleum hydrocarbon to the environment as just a consequence of human activity (also known as an oil slick). This is the typical definition of an oil slick; alternative definitions are covered in the article.

What does oily hair refer to?

A combination of dark blue, green, or purple tones are applied to darker hair in this style, which is also known as oil spill hair because it gives the hair a shimmering appearance. It resembles the pastel hair style, but instead of using ultra-pale colors, deeper colours are blended to create the iridescent look..

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how do permanent dipoles compare to dispersion forces and temporary dipoles in terms of formation and strength?

Answers

Permanent dipoles are created by the interaction of permanent charges, which are charges that do not lose their charge when they are separated, as opposed to temporary dipoles, which form when two unlike poles come into contact and then separate.

Permanent dipoles are strong; they can be formed even when there is no electrical current present. The strength of a permanent dipole depends on its size and intensity, but it's typically much stronger than a temporary dipole.

Dispersion forces are weaker than both permanent dipoles and temporary dipoles. They can be generated by any two objects whose surfaces have different charges, regardless of whether there is an electrical current present or not.

The strength of dispersion forces depends on the size and intensity of the charged object, but it's typically much weaker than a permanent or temporary dipole.

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a skater spins with an angular speed of 12.0rad/s with his arms outstretched. he lowers his arms, decreasing his moment of inertia from 41kgm2 to 36kgm2. a. calculate his initial and final rotational kinetic energy. b. does his rotational kinetic energy increase or decrease? c. what causes this change in kinetic energy?

Answers

It has a 2952 J initial rotational energy.

492 kg-m2/s represents its moment of momentum.

13.67 rad/s of angular momentum is conserved.3364J

A) is the final rotational kinetic energy. The rotational energy of it at first is

KE=[tex]\frac{1}{2}\\[/tex]Iω²

=[tex]\frac{1}{2}\\[/tex]

=[tex]2952J[/tex]

B) Her angular momentum is

L=Iω

=(41)(12)

= 492 kg-m²/s

C) Angle momentum is kept constant. Therefore, even if he draws his hands in, nothing will change. She still has 492 kg-m2/s of angular momentum after pulling her arms back. Her moment of inertia has altered, though. L must therefore change in order for its angular velocity to remain constant.

L=Iω

ω=L/I

=492/36

= 13.67 rad/s

D) So her final rotational kinetic energy is

KE=[tex]\frac{1}{2}\\[/tex]Iω²

 =[tex]\frac{1}{2}\\[/tex][tex](36) (13.67)[/tex]

=[tex]3364J[/tex]

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The magnitude of the buoyant force is equal to the weight of fluid displaced by the object. Under what circumstances is this statement true?.

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The magnitude of the buoyant force is equal to the weight of the fluid displaced by the object if and only if the object is partially or completely submerged in a liquid.

What exactly is Buoyant Force?

When a rigid object is immersed in a fluid (completely or partially), it experiences an upward force equal to the weight of the fluid displaced by the object.

This is referred to as Archimedes' principle.

[tex]F_{b}[/tex]= -ρgV

[tex]F_{b}[/tex]  = force of buoyancy

ρ = density of fluid

g = gravitational acceleration

V = volume of fluid

If an object is partially or completely submerged in fluid, the fluid displacement is equal to the magnitude of the buoyant force.

Thus, The magnitude of the buoyant force is equal to the weight of the fluid displaced by the object if - For every object partially or completely submerged in a liquid.

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the hanging mass is referred to as m and it sets the centripetal force. group of answer choices true false

Answers

The answer is True


When we do not have  the numerical value of mass.

The answer is False
By choosing a value of hanging mass it becomes false.

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the earth's atmosphere is transparent tomost waves in thequestion 2 options:visible part of the spectrum.infrared part of the spectrum.ultraviolet part of the spectrum.entire electromagnetic spectrum.

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The earth's atmosphere is transparent to most waves is visible part of the spectrum(option -1).

What wavelengths are transparent to the atmosphere of the Earth?

To some microwave radiation wavelengths, but not to others, the Earth's atmosphere is transparent. The Earth's atmosphere is more easily penetrated by the longer wavelength microwaves than by the shorter ones (wavelengths more akin to radio waves).

When compared to open, closed, or partially closed windows, the Earth's atmosphere is only transparent to particular wavelengths of light. All of the radio waves, the majority of the IR light, and all of the visible light pass through the atmosphere.

It should be noted that the atmosphere is generally opaque in the infrared spectrum and completely transparent in the visible and infrared bands. In our hypothetical case, this would be entirely transparent (no absorption) in the solar band and uniformly absorb (and emit) throughout the earth emission band.

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an elevator is moving down at a constant rate of 4 m/s. a person is standing on ascale that says the person weighs 80 n. when it reaches the bottom, it comes to a stop in 2 seconds. during the stopping process, what is the reading on the scale? (a picture of what is happening during the stopping of the elevator will help.)

Answers

The reading on the scale is 96.31 N.

What is meant by reading on the scale?

The Reading Scale describes how people progress through the difficult process of learning to read. It provides teachers with methods for viewing and analyzing their observations of children's developing reading skills, knowledge, and comprehension.

When the elevator stops, its speed decreases from 4 m/s to 0 m/s.

This suggests a slowing down. The amount of force being applied to the

F= mass times acceleration

Assuming the deceleration is constant, we have the following equation:

V = U + at

Where V = Final speed = 0

U = initial speed = 4

a = acceleration

t = time

Solving, we get:

0 = 4 + 2a

a = -2 m/s^2

Solving, we get:

0 = 4 + 2a

a = -2 m/s^2

Thus the object decelerates at 2 m/s^2

The mass of the person = 80 / 9.81 =  8.155 kg

F = 8.155 * 2

F = 16.31 N

Weight in total: 80 + 16.31 = 96.31 N (This is the reading on the scale).

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How can we statistically study the evolution of galaxies many billions of years ago?.

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We can contrast distant galaxies with nearby galaxies.

The cosmos is 13.7 billion years old, but how can they know that?

Although scientists are unsure of the universe's actual age, we estimate that it is somewhere between 13 and 14 billion years old. In order to determine the age of the universe, astronomers use two different methods: (a) searching for the earliest stars; and (b) measuring the universe's rate of expansion and projecting it back to the Big Bang.

How can the age of galaxies be determined?

The amount of time it took for the galaxies to get to their current distances is therefore t=D/v. However, we know that v=H0D because to Hubble's Law. Therefore, t=D/v=D/(H0D)=1/H0. Thus, 1/H0 can be used as a rough estimate for the  age of the Universe.

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A car is moving with a velocity of 32.78 m/s when a TURTLE wanders into the road. The driver then hits the brakes and comes to a complete stop over a time period of 4.63 seconds. Calculate the acceleration of the car. Round to the hundredths.

Answers

The acceleration of the car is - 7.08 m/s².

What is velocity?

The rate at which a body's displacement changes in relation to time is known as its velocity. Velocity is a vector quantity with both magnitude and direction. SI unit of velocity is meter/second.

Given parameters:

Initial velocity of the car; u = 32.78 m/s.

Take taken to stop it; t = 4.63

Then, the acceleration of the car: a =( final velocity - initial velocity) /time

= (0 - 32.78)/4.63 m/s².

= - 7.08 m/s².

Negative sign indicates that the velocity is decreasing at that rate.

So, the acceleration of the car is - 7.08 m/s².

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A car (mass 1 000 kg) uses 50 000 J of energy (from fuel) to accelerate the car from rest to 5.5 m/s (about 20 km/h). How efficient is the car’s engine? ( Think, Eff = Eout/Ein x 100/1)

Answers

The energy output from the car is 15125 J and the input energy is given 50000 J. Thus, the efficiency of the car is 30.25 %.

What is engine efficiency?

The efficiency of an engine is the ratio of its energy output to the energy input multiplied by 100. The efficiency of a heat engine can be found similarly using the input heat and output heat.

Given the mass of the car is 1000 Kg and it is accelerated to 5.5 m/s. Therefore the kinetic energy output is is calculated as follows:

KE = 1/2 mv²

     = 1/2  1000 kg × (5.5 m/s)²

     =  15125 J

The input energy is 50000 J. Therefore, the energy efficiency is :

efficiency = output energy / input energy × 100

                = ( 15125 J/ 50000J ) × 100

                = 30.25 %

Hence, the energy efficiency of the car is 30.25 %.

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a digital thermometer can make readings to the tenth of a degree at either the celsius setting or the fahrenheit setting. which reading would be more precise?

Answers

The Fahrenheit setting, since 1 degree Fahrenheit is smaller than 1 degree Celsius.

For general use, a straightforward formula exists to convert temperatures from Fahrenheit to Celsius. Just subtract 30 from the Fahrenheit value, and then divide that result in half.

Most objects we measure including length, width, time, and other dimensions—have one thing in common: their values all begin at zero. Zero of any of those units may be converted into another sort of unit quite easily because we all know exactly how long zero centimeters or inches are. Inches, metres, and centimetres all equal zero. As an illustration, let's use inches and centimetres. To move from 0 inches to 1 inch, we need to add 1 inch. This much is clear.

Similarly, we just need to add 1 centimetre to go from 0 centimetres to 1 centimetre. The quantity of space we are adding is the only distinction between adding one inch or one centimetre. One inch is 2.54 centimeters, according to the connection between the two units.

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A man-hour is defined as "a unit of one hour's work by one person". describe how the unit of man-hour is similar to the kilowatt hour, the unit of electrical energy. then explain how the two units are different.

Answers

We can assume that man-hour is a unit of power. Both man-hour and kilowatt-hour are units for power. The difference between them is that the second one can be quantified while the first one cannot.

What is power?

Power has a wide range of meanings in everyday life, but in physics, it has a very specific meaning. Power is defined to be work over elapsed time. This can be mathematically expressed as P = W/t where P is power, W is work, and t is elapsed time.

If work is done faster, the power is higher. Power is smaller when work is done slower.

The standard unit used to measure power is watt (symbolized W, not to be confused with work which is a quantity, not a unit). 1 kilowatt-hour is equal to 1,000 watts. Another widely-used unit of power is the horsepower (symbolized hp).

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a conductor having no covering or electrical insulation whatsoever is defined in the nec as a(n) ? conductor

Answers

A conductor having no covering or electrical insulation There is absolutely no electrical insulation or coating on a conductor is bare.

Any object used as insulation in a building for thermal management is known as building insulation. The term refers to acoustic, fire, and impact insulation in addition to the majority of insulation used in buildings, which is for thermal purposes. Because it can accomplish several of these tasks at once, insulating materials are frequently used.

Building insulation is a crucial investment in both the economy and the environment. Insulation reduces the energy needed to heat and cool a building, as well as the thermal turbulence that its occupants experience. Adding more insulation to existing structures is a key strategy for reducing greenhouse gas emissions, particularly in regions where energy production is carbon-intensive.

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A 0. 25-kg toy car experiences a net force of 9. 0 n while slowing down to a complete stop. What is the magnitude of its acceleration?.

Answers

The magnitude of the acceleration is -36 m/s² since the toy car is stopping thus, -36 is the deceleration of the toy.

The Force of the object is the product of the mass of the object with the acceleration with which it is moving. It is the vector product. The SI unit of force is Kg-m/s² or Newton(N). The equation for the force is,  

F = ma

where F = Force

m = mass

a = acceleration

The values given for force f = 9.0N,  m = 0.25kg

∴ F = ma

9.0 = 0.25 × a

a = 36 m/s²

Hence, the negative sign indicates the deceleration of the toy car thus the magnitude is -36m/s².

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what if a primordial black hole with the mass of our moon and a schwarzchild radius of 0.01cm approached, passed through, and exited the earth? what might happen to our planet and to life here?

Answers

When it will pass through our Earth, it will contain the whole of our earth as its gravitational field is so high.

What is a primordial black hole?A hypothetical type of dark gap that formed soon after the Big Bang is known as primordial dark openings. High densities and inhomogeneous circumstances in the early cosmos may have caused sufficiently thick regions to experience gravitational crumpling, which would have framed black openings. Supermassive dark gaps can be distinguished from bring down mass clusters by certain characteristics. Firstly, due to some SMBHs, the usual thickness of an SMBH (defined as the mass of the dark opening divided by the volume inside its Schwarzschild range) may be less than the thickness of water.Given that the volume of a round question, such as the occasion skyline of a non-pivoting dark opening, is specifically relative to the 3D square of the span, and that a dark gap's thickness is. On the other hand, conversely relative to the square of the mass, higher mass dark gaps have lower normal thickness, this is the reason. As with thickness, the tidal power of a body at the occasion of skyline is counterintuitively related to the square of the mass, Therefore, the tidal powers in the region of the occasion skyline are essentially weaker for monstrous dark apertures. It's a slow-moving event.When it will pass through our Earth, it will contain the whole of our earth as its gravitational field is so high.

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When it will pass through our Earth, it will contain the whole of our earth as its gravitational field is so high.

What is a primordial black hole?A hypothetical type of dark gap that formed soon after the Big Bang is known as primordial dark openings.High densities and inhomogeneous circumstances in the early cosmos may have caused sufficiently thick regions to experience gravitational crumpling, which would have framed black openings.Supermassive dark gaps can be distinguished from bring down mass clusters by certain characteristics.Firstly, due to some SMBHs, the usual thickness of an SMBH (defined as the mass of the dark opening divided by the volume inside its Schwarzschild range) may be less than the thickness of water.Given that the volume of a round question, such as the occasion skyline of a non-pivoting dark opening, is specifically relative to the 3D square of the span, and that a dark gap's thickness is.On the other hand, conversely relative to the square of the mass, higher mass dark gaps have lower normal thickness, this is the reason.As with thickness, the tidal power of a body at the occasion of skyline is counterintuitively related to the square of the mass,Therefore, the tidal powers in the region of the occasion skyline are essentially weaker for monstrous dark apertures.It's a slow-moving event.When it will pass through our Earth, it will contain the whole of our earth as its gravitational field is so high.

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two runners are jogging around a circular track with the same angular velocity. one runner is jogging with a speed v1 at a radius of 15 m and the second is jogging at a speed v2 at a radius of 18 m. what is the ratio of their linear speeds, v2/v1?

Answers

5:6 is the ratio of linear speed of two runners in jogging. The rate at which an object's position changes in relation to a frame of reference is known as its velocity, and it depends on time.

What is velocity?

The directional speed of an item in motion, as measured by a specific unit of time and observed from a certain point of reference, is what is referred to as velocity.

The primary indicator of an object's position and speed is its velocity. It is the distance that an object travels in one unit of time. The displacement of the item in one unit of time is the definition of velocity.

The speed of the person one at the radium is v1=15

The speed of the person two at the radium is v2=18

The ratio be 15:18  , The 15 and 18 are the common multiple of 3

Therefore 5:6

The rate at which an object's position changes in relation to a frame of reference is known as its velocity, and it depends on time. A specification of a thing's speed and direction of motion is what velocity is.

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a force of 1 newton will cause a mass of 1 kg to have an acceleration of 1 m/s2. if a force of 6 newtons is applied to a mass of 1 kg, what will be its acceleration?

Answers

Answer:

6 m/sec square

Explanation:

a player hits a baseball with mass of 0.145 kg over the outfield fence. the ball leaves the bat with a speed of 42.0 m/s and a fan in the bleachers catches it 14 m above the point where it was hit. neglect air resistance. what is the speed of the ball when it is caught?

Answers

When the ball is caught, it is moving at a speed of 3 m/s. Distance/time is the formula for calculating speed.

How do you tell the ball's speed?

You must time how long it takes from when the ball is released until the pin is struck using a stopwatch. By dividing the distance by the time, one may calculate the ball's speed.

The average speed, if it was 3 seconds,

would be 42/14, or 3 feet per second .

Build a launcher for balls. I made use of an exercise rubber band and the legs of a patio chair.

horizontally when you shoot the ball. For this to operate, the camera angle must be horizontal.

Calculate how long the ball has been in the air.

The ball's distance traveled should be measured.

Simply dividing the distance by the launch time yields the launch speed.

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Can someone please solve and explain this for me

Answers

a) The interval with the greatest rate of change is between the points (4.9, 40) and (5.6, 50).

b) This rate in the above interval was of 14.3 m/s.

How to obtain the average rate of change of a function?

The average rate of change of a function is obtained by the change in the output divided by the change in the input. Hence, over an interval [a,b], the average rate of change is obtained as follows:

[tex]r = \frac{f(b) - f(a)}{b - a}[/tex]

For each interval, the rates are given as follows:

0 sec to 1.9 sec: 10/1.9 = 5.26 m/s.1.9 sec to 3.1 sec: 10/1.2 = 8.33 m/s.3.1 sec to 4.1 sec: 10/1 = 10 m/s.4.1 sec to 4.9 sec: 10/0.8 = 12.5 m/s.4.9 sec to 5.6 sec: 10/0.7 = 14.3 m/s. -> Greatest rate.5.6 sec to 6.5 sec: 10/0.9 = 11.1 m/s.6.5 sec to 7.4 sec: 10/0.9 = 11.1 m/s.7.4 sec to 8.2 sec: 10/0.8 = 12.5 m/s.8.2 sec to 9.0 sec: 10/0.8 = 12.5 m/s.9.0 sec to 9.84 sec: 10/0.84 = 11.90.

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the current in an inductor is changing at 120 a/s and the inductor emf is 51 v. what's the self-inductance?

Answers

the self-inductance is 0.425V.s/A

emf = L*di/dt

L = emf/ di/dt  = 51/120 = 0.425V.s/A

Self-inductance is a characteristic of the current-carrying coil that opposes or resists changes in the current that passes through it. The self-induced emf generated in the coil itself is mostly responsible for this. Self-inductance is a phenomenon that occurs when a voltage is induced in a current-carrying wire, to put it simply.

When the current increases or drops, the coil's self-induced emf will oppose both movements. Essentially, if the current is increasing, the induced emf's direction is opposite that of the applied voltage, and if the current is decreasing, its direction is similar to that of the applied voltage.

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a 1000 kg safe is 2.0 m above a heavy-duty spring when the rope holding the safe breaks. the safe hits the spring and, in coming momentarily to rest, compresses it 50 cm. what is the spring constant of the spring?

Answers

The value of the spring constant of the spring is 156800N/m.

As per the work energy theorem, the work done in making the safe go down will be equal to the work done by the spring.

So it can be written

1/2kx² = mgh

K is the spring constant,

x is the compression,

m is the mass of the safe,

g is the acceleration due to gravity which is 9.8m/s²,

H is the height above the ground at which the safe is kept which is 2m.

Now, putting all the values,

1/2(k)(0.5)² = 1000(2)(9.8)

K = 156800 N/m.

So, the value of the spring constant is 156800 N/m.

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