at what altitude should a satellite be placed into circular orbit so that its orbital period is 48 hours?

Answers

Answer 1

In order for the satellite to have an orbit with a 48-hour period, its orbit must be positioned in a circular orbit at an altitude of 60.689*106m. At this time, altitude is calculated from Earth's surface.

Therefore, the radius of the Earth is subtracted from the total radial distance to get the altitude of the satellite's orbit. orbit of a satellite Satellite orbits are divided into high and low orbits, polar orbits (when the earth's spin axis is included within the orbit plane), equatorial orbits (when the earth's equatorial plane coincides with the orbit plane), and pro-grade and retrograde or bits (the direction of satellite motion is either eastward or westward).

R = 67.067*10^6 m

As a result, height (h) is equal to total radial distance (r) minus earth's radius (R). For example, h=(60.067 - 6.378)*106m; h= 60.689*106m.

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Related Questions

What is brewster’s angle for light traveling in water that is reflected from crown glass?.

Answers

The correct answer of Brewster’s angle is 48.8 degrees for light traveling in water that is reflected from crown glass.

What is light's Brewster angle as it travels through water?

Brewster's law is the name of this equation, and the angle it defines is known as Brewster's angle. Brewster's angle for visible light is around 56° for a glass medium in air (n2 = 1.5), while it is roughly 53° for an air-water interface (n2 = 1.33)

The inverse tan of n 2 over n 1 is what is known as Brewster's Angle. Therefore, 48.8 degrees is the inverse tan of 1.52 divided by 1.33.

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what is the magnitude of the gravitational force between two 5.0-kilogram masses separated by a distance of 5.0 meters? responses

Answers

To learn the magnitude and gravitational force to calculate the distance.

What is magnitude?

The most straightforward way to define magnitude is "distance or quantity." In either an absolute or relative sense, it displays the size or motion of an object. It serves as a way to convey the size or scope of something. Magnitude typically refers to a size or length.

What is gravitational force?

Newton's universal law of gravitation states that the force of attraction between any two bodies is inversely proportional to the square of the distance between them and directly proportional to the product of their masses.

G is the gravitational constant 6.67 × 10^-11 Newtons kg-2 m2.

M is the mass of the first object

m is the mass of the second object

r is the distance between them.

In this question.

two g-kg masses are separated by 5 meters.

So F=G(5kg)(5kg)/(5^2)=6.67*10^-11 (newtons)

Therefore, the gravitational force between two 5.0-kilogram masses separated by a distance of 5.0 meters is 6.67*10^-11 (newtons).

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a boy stands at one end of a floating raft that is stationary relative to the shore. he then walks in a straight line to the opposite end of the raft, away from the shore. what is the total momentum before the person moves?

Answers

The total momentum before the person moves is zero when he walks in a straight line to the opposite end of the raft.

What is meant by momentum?

According to Newton's second rule of motion, the rate of change of body's momentum is equal to the net force acting on it. Momentum changes with frame of reference, but it is a conserved quantity in any inertial frame, which indicates that if a closed system is not impacted by external forces, its total linear momentum remains constant.

Because the initial momentum was zero, the final momentum must also be zero. If the boy has momentum in one direction, the boat must have momentum in the other. The total momentum before the person moves is zero when he walks in a straight line to the opposite end of the raft

As a result, the boat moves backward.

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1294joules of work landed 100meters away how much force did the player hit the ball

Answers

A force of 12.94 N is used to move a ball 100 M. Given amount of work done is 1294 joules.

What is work?

Work in physics is the energy that is transferred to or from an item when a force is applied along a displacement. In its simplest form, it equals the product of the force's magnitude and the distance traveled for a constant force directed in the direction of motion.

Given in the question a work of  1294 joules is used to move a ball 100 M  then,

Work = force x distance. In units, Joules = Newtons x meters.

So, 1294  = F Newtons x 100 meters

Force , F  = 12.94 joules.

A force of 12.94 N is used to move a ball 100 M. Given amount of work done is 1294 joules.

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light from the star sirius takes 8.61 years to reach the earth. what is the distance to sirius in kilometers?

Answers

Only twice as far away from the solar system as the Alpha Centauri system, which is the closest star system to us beyond the Sun, it is 8.6 light-years away.

The Greek word that inspired its name means "sparkling" or "scorching." At a speed of just over 186,000 miles per second, light moves through space. Light from the moon's surface must travel more than one second (about 1.3 seconds) to reach Earth because the moon is only around 250,000 miles away.

Time = 8.61 years = 8.61 8760

= 75423.6 hours

Speed of light = 3108 m/s

= 3108 3.6 = 1080000000 Km/h

Dimension =?

Distance x time speed

75423.6 / 1080000000 = distance

multiply by cross

Distance = 75423.6 1080000000

Distance = 8.15*10¹³ kilometers

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Tom chases Jerry across a 1 m high table. Jerry steps out of the way and Tom slides off the table and strikes the floor 2.2 m from the edge of the table. When Tom slid off the table, what was his horizontal speed?

Answers

The horizontal speed of Tom when it slid off the table is 4.89 m/s.

What is the time of motion of Tom?

The time of motion of Tom is the time taken for Tom to fall from the top of he table to ground level.

It can also be described as time spent in air by Tom.

h = ut + ¹/₂gt²

where;

u is the initial vertical velocity of Tom = 0t is the time of motion of Tomg is acceleration due to gravity

h = 0 + ¹/₂gt²

h = ¹/₂gt²

t = √(2h/g)

t = √(2 x 1 / 9.8)

t = 0.45 s

The horizontal speed of Tom when it slid off the table is calculated as;

v = x/t

where;

x is the horizontal distancet is the time of motion

v = (2.2 m) / (0.45 s)

v = 4.89 m/s

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A 7.87 kg box is moving at a constant velocity of 2 m/s when pushed directly horizontally with a force of 34.2 N. Determine the coefficient of friction between the box and the floor.

Answers

0.44 is the coefficient of friction between the box and the floor.

F=μN

F= force

N= Normal reaction

μ=coefficient of friction

F=μN

μ=F/N

μ=34.2/7.87 ×9.8

μ= 0.44

The ratio of the normal force pushing two surfaces together to the frictional force preventing motion between them is known as the friction coefficient. Usually, the Greek letter mu is used to indicate it .N is the normal force, and F is the frictional force, hence F = N/N.

Due to the fact that both F and N are measured in units of force, the coefficient of friction has no dimensions (such as newtons or pounds). The coefficient of friction can have a variety of values for both static and dynamic friction. Static friction occurs when an object encounters friction that resists any applied force, keeping the object at rest until the static frictional force is released. In kinetic friction, the frictional force resists the motion of the object.

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a contact lens is made of plastic with an index of refraction 1.50. the lens has an outer radius of curvature of 1.65 cm and an inner radius of curvature of 5.85 cm. what is its focal length?

Answers

The lens does have an outer radius of 1.65 cm or an inner radius of 5.85 cm, with an index of refraction of 1.50. then f=20cm is the focal length.

Does it say lens or lense?

Between lens & glass, lens is the preferred spelling, whilst lense is an error. A lens can be a piece of bent glass or plastic, a component of a camera, or even the clear portion of your eye. Lense, on the other hand, is merely a typo and not a real word.

What serves as a lens?

In optics, a lens is a piece of glass or another transparent material that focuses light from an object to create an image of it.

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"if the coefficient of kinetic friction between tires and pavement is 0. 80, what is the shortest distance in which you can stop a car by locking the breaks when traveling at 28. 7 m/s?".

Answers

53.64 m is the shortest distance you can stop an automobile by locking the brakes.

How can I calculate the coefficient of kinetic friction?

The resistive force of friction (Fr), which pushes the objects together, is divided by the normal or perpendicular force (N), which pushes them apart, to produce the coefficient of friction (fr), which is a numerical value. The following formula represents it: fr = Fr/N.

Given;

kinetic friction coefficient is 0.80.

automobile's speed, u = 28.7 m/s

Applying the following equation, we can determine the shortest distance over which an automobile can be stopped by locking the brakes:

v² = u² + 2ax

First, we establish a;

the second law of motion, Newton

v² = u² + 2ax

First, we establish a;

the second law of motion, Newton

F = ma

F is the amount of kinetic friction preventing the car from moving

-F = ma

but, -F = -μN

-μN = ma

-μmg = ma

-μg = a

- 0.8 x 9.8 = a

-7.84 m/s² = a

Add the value of a to the equation above now

v² = u² + 2ax

F = ma

F is the amount of kinetic friction preventing the car from moving

-F = ma

but, -F = -μN

-μN = ma

-μmg = ma

-μg = a

- 0.8 x 9.8 = a

-7.84 m/s² = a

Add the value of a to the equation above now

v² = u² + 2ax

When the car comes to a stop, its final speed is v = 0.

0 = 28.7² + 2(-7.84)x

0 = 823 - 15.68x

15.68x = 823

x = 823 / 15.68

x = 52.48 m

Therefore, 52.48m is the shortest distance you can stop an automobile by locking the brakes.

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Each sentence describes an interaction between two of Earth’s spheres. Match each sentence with the spheres that are interacting.
geosphere and hydrosphere
hydrosphere and biosphere
biosphere and atmosphere
atmosphere and geosphere
Grady swims in the ocean.
arrowRight
Lena takes a deep breath.
arrowRight
Water vapor condenses on a glass.
arrowRight
Gusty winds weather sandstone in the desert.

Answers

sentence describes an interaction between two of Earth’s spheres are given below

Geosphere and hydrosphere - water vapor condenses on a glass.

Hydrosphere and biosphere - Grady swims in the ocean.

Biosphere and atmosphere - Lena takes a deep breath

Atmosphere and geosphere - gusty winds weather sandstone in the desert.

Geosphere refers to the solid portion of the Earth, therefore rocks, land, and the like would be included. Water is a component of the hydrosphere, as indicated by the word hydro, which means water. The atmosphere comprises the winds and the air that surrounds us. The term "biosphere" describes the biotic elements. We consider living things since the word "bio" signifies "life." All those spheres now interact with one another, and it is because of these interactions that our universe is created and how life on Earth can coexist. Grady is a living creature, and the ocean is composed of water, as can be shown by comparing the characteristics of each sphere.

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initially, an inductor with no resistance carries a constant current. then the current is brought to a new constant value twice as large. after this change, when the current is constant at its higher value, what has happened to the emf in the inductor?

Answers

The correct answer is it will continue to be zero in case of emf when the current is constant at its higher value.

What is the relation emf and current?

The term "induced electromotive force" (EMF) refers to the potential difference that is produced when a coil's magnetic flux changes. The pace at which electrons or ions flow in a closed circuit is known as current, in contrast.

The emf across an inductor is zero whenever the current is constant(unchanging), large or small.

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pre-lab form ballistic pendulum 1. what is an elastic collision? is the ballistic pendulum collision elastic? 2. show the derivation the ballistic pendulum calculation formula, equation (3).

Answers

An elastic collision is a collision wherein there may be no net loss in kinetic energy in the machine due to the collision. every momentum and kinetic power are conserved quantities in elastic collisions.

An elastic collision is a come among bodies in which the overall kinetic power of the two bodies stays identical. In an ideal, perfectly elastic collision, there may be no internet conversion of kinetic strength into other kinds which includes heat, noise, or capacity electricity.

Elastic collisions arise whilst both the momentum and kinetic energy are conserved, just like how billiard balls bounce off each different and move at the same speeds as earlier. Inelastic collisions appear whilst simplest the momentum is conserved but not the kinetic power.

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The value of a car can be represented by the equation v = 16,000(0. 93)t, where v is the value of the car and t is the age of the car in years. What is the meaning of the number 0. 93 in the equation?.

Answers

As the age of the car increases by 1 year, the value of the car decreases by 7%.

What is velocity?

Velocity is the directional velocity of a moving object, observed from a given frame of reference and indicating the rate of change of position measured at a given time reference (eg 60 km/h northward). Velocity is a fundamental concept in kinematics, a branch of classical mechanics that describes the motion of bodies.

Velocity is a physical vector quantity. The scalar absolute value (magnitude) of velocity is called velocity, and its magnitude is a consistent derived unit measured in the SI (metric) system as meters per second (m/s or m⋅s−1). For example, "5 meters/second" is a scalar, but "5 meters/second east" is a vector. An object is said to be accelerating if its velocity, direction, or both change.

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What do purple LED lights help with?

Answers

Purple LED lights are very effective at helping plants grow.

What is an LED lamp?

An LED lamp, often known as an LED light bulb, is a type of electric light that emits light by employing light-emitting diodes (LEDs). LED lamps are substantially more energy-efficient than identical incandescent bulbs and can outperform most fluorescent lamps. The most efficient LED bulbs on the market have efficiency of 200 lumens per watt (Lm/W). Commercial LED bulbs have a far longer lifespan than incandescent lamps. To function from mains power lines, LED lights require an electronic LED driver circuit, and losses in this circuit mean that the lamp's efficiency is lower than the efficiency of the LED chips it utilizes. To be compatible with light dimmers designed for incandescent lamps, the driver circuit may require additional characteristics.

Purple LED lights are quite good in assisting plant growth. Because red and blue wavelengths of light, which are included in many LED grow lights, have been discovered to be crucial in promoting plant development, utilizing purple LED lights isolates these two hues to optimize the advantages of your grow light.

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an object placed 19.0 cm from a concave mirror produces a real image 12.7 cm from the mirror. if the object is now moved to a new position 27.0 cm from the mirror, where is the new image located as measured from the mirror?

Answers

If the object is now moved to a new position 27.0 cm from the mirror, the new image located as measured from the mirror is 10.6 cm

1/p + 1/q = 1/f

so 1/p1 + 1/q1 = 1/p2 + 1/q2

 1/19 + 1/12.7 = 1/27 + 1/q2

  q2 = 10.6 cm

B.  f = -16.2 cm

   q = - 11.7 cm

   (object is formed behind the mirror that means image is virtual and for virtual image, image distance will be negative)

 1/f = 1/p + 1/q

  1/(-16.2) = 1/(-11.7) + 1/q

   q=  42.1 cm

In physics, an object is a recognisable grouping of matter that can be contained by a recognizable boundary and that can move together by translation or rotation in three dimensions. An image is the point at which light rays emanating from an object come together or appear to come together after reflection or refraction. According to this definition, an "object" is anything from which light rays emanate.

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If two objects, one with a mass of 1000 kg and another with a mass of
2500 kg are separated by a distance of 100 m, what is the force between
them?

Answers

If two objects, one with a mass of 1000 kg and another with a mass of

2500 kg are separated by a distance of 100 m, and the force between

them is 1.667 * 10⁻⁸ N.

What is the force between two masses separated by a distance d?

The force, F, between two masses separated by a distance, d, is given by the formula below:

F = Gm₁m₂ / d²

where;

G is gravitational constant = 6.67 * 10⁻¹¹ Nm²/kg²

m₁ is the mass of the first object = 1000 kg

m₂ is the mass of the second object = 2500 kg

d is distance = 100 m

The force will then be;

F = 6.67 * 10⁻¹¹ * 1000 * 2500 / 100²

F = 1.667 * 10⁻⁸ N

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Now our wavelength is getting longer because the waves are stretching out. This make the _________ lower as well as the pitch we hear.

Answers

Now our wavelength is getting longer because the waves are stretching out. This makes the 1. Frequency is lower as well as the pitch we hear.

Wavelength is the gap among equal factors (adjacent crests) in the adjacent cycles of a waveform sign propagated in the area or alongside a twine. In wi-fi systems, this duration is generally laid out in meters (m), centimeters (cm), or millimeters (mm).

Equation of the wavelength, we will tell that the wavelength of a wave is inversely proportional to its frequency, i.e., because the frequency of a wave increases, its wavelength decreases.

A better-frequency sound has a better pitch, and a decreased-frequency sound has a lower pitch. In discern 10.2 sound A has a better pitch than sound B. for example, the chirp of a bird would have an excessive pitch, but the roar of a lion could have a low pitch. The human ear can discover a huge variety of frequencies.

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Disclaimer:- your question is incomplete, please see below for the complete question.

Now our wavelength is getting longer because the waves are stretching out. This makes the _________ lower as well as the pitch we hear.

1. Frequency

2. Loudness

3. Amplitude

what is the relationship of lift, drag, thrust, and weight when the airplane is in straight-and-level flight?

Answers

In order to maintain a constant altitude, constant velocity, thrust, and drag must all be equal.

In level flight, the aircraft slows down when the engine power is decreased and the thrust is decreased. The airplane keeps descending as long as the thrust is lower than the drag. In contrast to weight, lift works. The opposite of drag is thrust. A plane flies level flight when the forces are equalized. If the forces of lift and thrust are greater than the forces of gravity and drag, the plane rises.

The lift and push produced by an airplane while it is traveling straight and level at a constant speed balance its weight and drag, respectively.

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A fighter jet of mass 12,652 kg is carrying a single 190 kg missile and traveling at a speed of 365 m/s relative to the ground. The fighter jet launches the missile at a speed of 1,207 m/s relative to the ground. How fast is the fighter jet traveling the instant after it launches the missile?

Answers

The speed of the fighter jet the instant after it launches the missile is 352.36 m/s.

What is the final speed of the fighter jet?

The final speed of the fighter jet is the speed of the fighter jet after launching the missile.

Apply the principle of conservation of linear momentum;

m₁u  +  m₂u   =  m₁v₁   +   m₂v₂

where;

m₁ is mass of the jetm₂ is the mass of the missileu is the initial velocityv is the final velocity

u(m₁ + m₂) = m₁v₁ + m₂v₂

365(12,652 + 190) = 12,652v₁  +  190(1207)

4,687,330 =  12,652v₁  + 229,330

12,652v₁ = 4458000

v₁ = 4458000 / 12,652

v₁ = 352.36 m/s

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Gibbons move through the trees by swinging from successive handholds, as we have seen. To increase their speed, gibbons may bring their legs close to their bodies. How does this help them move more quickly?

Answers

By bring their legs close to their bodies, they are decreasing the length of the pendulum which help them move more quickly.

A pendulum is nothing but a body suspended from a fixed point so that it can swing back and forth under the influence of gravity.

Here in this case Gibbons are bringing their legs close to their bodies and reducing the length of the pendulum. Since as the length of the pendulum increases the speed of the movement will be reduced. By bringing their legs close to their bodies they are reducing the length and in turn their speed increase and they move quickly.

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When you apply a potential difference of 125 V between two parallel plates, the field between them is 4.25 × 103 N /C. How far apart are the plates?

Answers

The distance of the plates apart is 0.029 m.

What is the electric potential?

We know that the electric potential has to do with the energy that is required to move a unit positive charge from one point to another in the electric field.

Now we have the following parameters from the questions;

Voltage applied = 125 V

Electric field = 4.25 × 103 N /C

Distance apart = ??

Now we know that we have to use the formula that says;

E = V/d

E = Electric field

V = Voltage applied

d = Distance apart

When we make d the subject of the formula;

d = V/E

d = 125 V/4.25 × 10^3 N /C

d = 0.029 m

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Help please, What two factors affect the strength of gravity acting on an object?


mass and velocity


mass and speed


mass and time


mass and acceleration

Answers

I would say D

Explanation:

The strength of gravity between two objects depends on two factors: the masses of the objects and the distance between them.

In 1-2 sentences, summarize why the force required to move a ping pong ball is less than the force required to move a bowling ball.

Answers

Answer: The force is less to move a ping pong ball than a bowling ball because the ping pong ball is light while the bowling ball is heavy.

The force required to move a ping pong ball is less than the force required to move a bowling ball.

What is force?

A force is an effect that can alter an object's motion according to physics. An object with mass can change its velocity, or accelerate, as a result of a force. An obvious way to describe force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction.

The force is less to move a ping pong ball than a bowling ball because the ping pong ball is light while the bowling ball is heavy.

The force required to move a ping pong ball is less than the force required to move a bowling ball.

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a solid sphere, a solid cylinder, a spherical shell, and a hoop all have the same mass and radius. each are rolling on a horizontal surface with the same center of mass speed, and then they roll up identical inclines. which one goes the least distance up its incline?

Answers

The solid sphere goes the least distance up its incline.

How do you define the moment of inertia of a body?

In physics, the term "moment of inertia" refers to the quantitative measurement of a body's inertia with respect to rotation, or the resistance that a body shows when a torque is applied to change its speed of rotation around an axis (turning force). The axis may or may not be fixed, and it may or may not be internal or external.The formula for moment of inertia is =

                                                         I = L/ω

I = inertia

L = angular momentim

ω = angular velocity

In the question it is given that a solid sphere, solid cylinder, a spherical shell and a hoop all having the same mass(m) , radius(r) and linear center of mass speed(v) roll up identical inclines

Since all the bodies have same mass, radius and linear speed as such according to conservation of energy for every object,

Rotational Energy + Kinetic Energy = Potential Energy

Iω^2/2 + mv^2/2 = mgh

where, the symbols represent-

I = moment of inertia

ω = angular speed

v= linear speed

m = mass

h = height

We know the

I for solid sphere = 2mr^2/5

I for solid cylinder = mr^2/2

I for spherical shell = 2mr^2/3

I for hoop = mr^2/2

As per the given informations kinetic energy of all bodies is same therefore, on the value of I or the moment of inertia depends which body will cover the highest or least distance up its incline

I for solid sphere is minimum among all the given bodies and thus it will attain the least distance.

Hence, the solid sphere goes the least distance up its incline.

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An arrow shot vertically upwards at a speed of 40m/s, hit the target after 2s. How high is the target? How fast did the arrow hit the target?​

Answers

Answer:

Explanation:

kinematics

d=V1*t + 1/2* a * [tex]t^{2}[/tex]

plug in your knowns into the above equation

d=40*2+1/2*(-9.8)*[tex]2^{2}[/tex]

60.4m

Vf = Vi+ a*t

Vf = 40 + (-9.8)*2

Vf = 20.4 m/s

Some doctors recommend that men drink 3 liters of water every day. There are approximately 29. 6 milliliters in 1 fluid ounce. Which measurement is closest to the number of fluid ounces in 3 liters?.

Answers

Number of Fluid ounces in 3 Liters of water is approximately 101.

Volume of water = 3 Liters

Volume of water (in milliliters) = 3 x 1000 = 3000 ML

The volume of water in 1 ounce = 29.6 ML

Number of ounces in 3000 ML  = [tex]\frac{3000}{29.6}[/tex]

                                                     =  101.35 ounces

                                                     ≈ 101 ounces

Therefore, there are 101 fluid ounces in 3 liters of water and option

B is the correct choice.

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when two objects slide against one another, which of the following statements about the force of friction between them is true?
a. The magnitude of the frictional force is always equal to \mu_{\rm k}n.
a. The magnitude of the frictional force is always less than \mu_{\rm k}n.
b. The magnitude of the frictional force is determined by other forces onthe objects so it can be either equal to or less than \mu_{\rm k}n.

Answers

This statement is True. The magnitude of the frictional force is always equal to μkn.

Frictional force refers to the pressure generated via two surfaces that touch and slide toward every other. a few factors affect the frictional pressure: those forces are specifically stricken by the surface texture and the amount of pressure impelling them together.

Friction can gradually things down and prevent desk-bound matters from shifting. In a frictionless global, extra gadgets would be sliding about, clothes and footwear might be difficult to keep on and it might be very difficult for human beings or vehicles to get shifting or change direction.

using lubricants such as oil or grease can reduce the friction between the surfaces. by using polishing the floor, sprucing makes the floor easy and friction may be decreased.

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An insulated beaker with negligible mass contains liquid water with a mass of 0.350 kg and a temperature of 78.3 ∘C. How much ice at a temperature of -24.2 ∘C must be dropped into the water so that the final temperature of the system will be 40.0 ∘C ?

Answers

Answer:

Explanation:

Given:  

c₁ = 2100 J / (kg·°C)

c₂ = 4200 J / (kg·°C)

λ₁ = 3.4·10⁵ J / kg -

t₁ = -24.2°C

t₀ = 0°C

t₂ = 78.3°C

t = 40.0°C

m₂ = 0.350 kg

___________

m₁ - ?

Ice is heated to 0°C:

Q₁ = c₁·m₁·(t₀ - t₁) = 2100·m₁·(0 - (-24.2)) = 50 820·m₁  J

The ice is melting:

Q₂ = λ·m₁ = 340 000·m₁  J

Cold water is heated:

Q₃ = c₂·m₁·(t - t₀)  = 4200·(40.0 - 0)·m₁ = 168 000 J

Hot water is cooling down:

Q₄ = c₂·m₂·(t₂ - t) = 4200·0,350·(78.3 - 40.0) = 56 300 J

Thermal badance equation:

Q₁ + Q₂ + Q₃ = Q₄

m₁·(50820 + 340 000 + 168 000) = 56 300

m₁·(3 620 000) = 56 300

Mass of ice:

m₁ = 56 300 / 3 620 000 ≈  0,016 kg  or  16 g

A planet is in circular orbit around the Sun. Its distancefrom the Sun is four times the average distance of Earth from theSun. The period of this planet, in Earth years, is:_______.
A. 4
B. 8
C. 16
D. 64
E. 2.52

Answers

Answer:

B. 8 years

Explanation:

D = 1 a.u. - Distance from the Sun to the Earth in astronomical units (a.u.)

D₁ = 4 a.u - Distance from the Sun to the planet

T = 1 year - The period of the earth's revolution around the Sun

__________

T₁ - ? - The period of revolution of the planet around the Sun

Kepler's law

(T₁/T)² = (D₁/D)³

(T₁ / 1)² = (4 / 1)³

T₁² = 64

T₁ = √ 64 = 8 years

B. 8 years

The relationship between the planet's period and the Earth's period and cube root of the ratio between the planet's distance from the Sun and the Earth's distance from the Sun.

Kepler's third law is the theory applied to this puzzle.

Write the expression for the period of the planet first using Kepler's rule to take into account the period of the Earth, the distance from the Sun to the Earth, and the distance from the Sun to the planet.

To compute the period of the planet, finally, substitute the appropriate quantities. The relationship between the period and the separation between the Sun and the planet is provided by, in accordance with Kepler's third law: T² ∝ a³

T is the period in this case, and an is the separation between the planet and the Sun.

To know more about Kepler's third law, click on the link below:

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Renewable energy produced about 12% of the electricity generated in the United States in 2012. Which of the following sources of renewable energy contributed the most to this total?

Answers

Hydropower is the source of renewable energy that contributed the most to 12% of the electricity generated in the United States in 2012.

Hydropower, also known as hydroelectric power, is one of the earliest and most significant forms of renewable energy. It uses the water's natural flow to generate electricity. Currently, 32% of all renewable electricity produced in the US and around 12% of all electricity produced in the country comes from hydropower.

Energy that comes from sources that quickly replenish themselves is referred to as renewable energy. Most of the time, clean energy, or energy that emits few greenhouse gases or pollutants, is also provided by renewable energy sources.

To know more about hydropower, refer to the following link:

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