A 1,500 kg satellite is in orbit around the Moon at a distance of 3 Moon radii above the surface of the Moon. The Moon's mass is 7.35 x 10^22 kg, and its radius is 1.74 x 10^6 m. Calculate the magnitude of the gravitational force acting on the satellite. Calculate the magnitude of the gravitational force acting on the satellite.

Answers

Answer 1

The gravitational force that is acting on the object is 2.4 * 10^3 N.

What is the force applied?

We know that the gravitational force has to do with the force tat is acting on any two objects that can be found on the earth's gravitational field. We know that we can be able to obtain the gravitational force by the Newton's law.

F = G[tex]m_{1}[/tex][tex]m_{2}[/tex]/r^2

G = gravitational constant

[tex]m_{1}[/tex]and [tex]m_{2}[/tex] are the masses

r = distance

Hence we have;

F = 6.6 * 10^-11 *  1,500 * 7.35 x 10^22/(1.74 x 10^6 )^2

F = 7.27 * 10^15/3.02 * 10^12

F = 2.4 * 10^3 N

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Related Questions

When are the dry bulbs and dew point temperatures identical?

Answers

The temperature of air as measured by a thermometer that is not insulated from radiation or moisture is known as the dry-bulb temperature (DBT).

The actual thermodynamic temperature is DBT, which is typically thought of as the air temperature. It measures the heat content of the atmosphere and relates the mean kinetic energy of the air molecules directly. Temperature is typically expressed in kelvins (K), degrees Fahrenheit (°F), or degrees Celsius.

Dry bulb temperature does not reflect the quantity of moisture in the air, in contrast to wet bulb temperature. It is crucial to take this into account when planning a building for a certain environment. One of the "most essential climate variables for human comfort," according to Nall

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If a cable originates inside one building and leaves the building, the landlord loses control of that cable. T or F?

Answers

It is true to say that If a cable originates inside one building and leaves the building, the landlord loses control of that cable.

Cable originating from one building to another building will have total control by the landlord from which the cable have passed. Since cable passes from one building to another building in that case some part of cable is not inside the building due to that control over the cable is distributed between more than one type of landlords .Worms can be spread through means other than direct network .Now, when it passed between the two building, in that case if one landlord did some changes in some part of cable then that change will not be controlled by the landlord who live in other building.

Hence, given statement is true.

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human activities, such as agriculture, can require altering the land. i. identify an environmental problem associated with large-scale intensive agriculture on soil.

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Intensive agriculture leads to ecosystem loss and contributes to global warming.

Intensive agriculture is a farming method that uses large amounts of labor and investment to increase the yield of the land.

Human beings form an integral part of the environment and have the largest ecological footprint.The environment has suffered for thousands of years due to human activity.Intensive agriculture is generally aimed at feeding a large population of people, however, this method has contributed as one of the biggest threats to the global environment as it leads to ecosystem loss and global warming.It is responsible for 80 percent of tropical deforestation and the emergence of new parasites and the reappearance of parasites that were once under control.It reduces beneficial plants and insects and depletes and degrades the soil on which they depend.

Thus intensive agriculture results in soil erosion followed by the genetic erosion of livestock and crop species worldwide.

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A fisherman notices that wave crests pass the bow of his anchored boat every 4.0 s. He measures the distance between two crests to be 7.5 m. How fast are the waves traveling?
m/s

Answers

A fisherman notices that wave crests pass the bow of his anchored boat every 4.0 s. He measures the distance between two crests to be 7.5 m1.875 m/s fast are the waves traveling.

The formula for a wave's speed is

V = f.......................... Equation 1

where V is the wave's speed, is its wavelength, and f is its frequency.

Recall,

f = 1/T

Where T = The amount of time it takes for the wave's crest to pass the boat's bow

Assumed: T = 4 s.

Replace in equation 2

f = 1/4

f = 0.25 Hz.

Additionally stated: 7.5 m.

Replace one more in equation 1.

V = 7.5(0.25) (0.25)

V = 1.875 m/s.

Consequently, the wave's speed is 1.875 m/s.

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this is a record of climate from 1880 and on with measures of land and ocean temperatures around the world increasing over time.

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From the 1880s to the 1910s, the yearly average worldwide temperature was roughly 13.7 °C (56.7 °F). The temperature increased by around 0.1 °C (0.18 °F) per decade from the 1920s through the 1940s.

The average worldwide temperature then remained stable until the 1980s at about 14.0°C (57.2°F). The total land and ocean temperature has risen at an average pace of 0.14 degrees Fahrenheit (0.08 degrees Celsius) every decade since 1880, according to NOAA's 2021 Annual Climate Report; however, the average growth rate since 1981 (0.18°C / 0.32°F) has been more than double that rate. NASA utilizes the years 1951–1980 as a baseline to track changes in the earth's temperature. Since the start of modern recordkeeping in 1880, the last eight years have collectively been the warmest on record. The worldwide temperature record is comprised of these annual temperature measurements.

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a remote controlled drone was 924 meters away from a large oak tree it flew north at a constant velocity and reached the oak tree in 88.0 seconds what was the drones velocity

Answers

The velocity of the drone that travels a distance of 924 m is 10.5 m/s.

What is velocity?

Velocity is defined as a vector measurement of the rate and direction of motion. The S.I unit of velocity is m/s

To calculate the velocity of the drone, we use the formula below.

Formula:

v = d/t.................... Equation 1

Where:

v = Velocity of the droned = Distancet = Time

From the question,

Given:

d = 924 mt = 88 s

Substitute these values into equation 1

v = 924/88v = 10.5 m/s

Hence, the velocity of the drone is 10.5 m/s.

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On a _________ periapical image, the nasal fossa appears as a large ______________ area located above the roots of the maxillary incisors.
a. maxillary; radiopaque
b. maxillary; radiolucent
c. mandibular; radiopaque
d. mandibular; radiolucent

Answers

On a maxillary periapical image, the nasal fossa appears as a large radiolucent area located above the roots of the maxillary incisors. there is option b is correct.

It appears as a tiny, ovoid or circular radiolucent region between the roots of the maxillary central incisors on an anterior maxillary periapical imaging. Periapical radiographs allow for the visualization of the maxillary tuberosity. Periapical radiographs do not show the mastoid process. The term "internal oblique ridge" or "mylohyoid line" refers to this anatomical characteristic. The submandibular fossa often manifests as an oval-shaped radiolucent region beneath the dentition's roots in the mandible's posterior body. refers to objects that are less dense and can be penetrated by the x-ray radiation. In the radiographic picture, radiolucent structures appear dark or black. Structures that are thick and impede the passage of x-rays are said to be radiopaque.

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One end of an object has a definite positive charge, which is an instance of _____ or a positive or negative state that reacts to an electric field.

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One end of an object has a definite positive charge, which is an instance of inverse-square or a positive or negative state that reacts to an electric field.

A positive or negative energy is what?

A fundamental characteristic of some of the constituent particles, of which all matter is made, is electric charge.

Electric charges come in two different flavours.

(+) positive charges

adverse charge (-)

A negative charge is present when there are more electrons than protons in an item.

When an atom has more protons than electrons, it has a positive charge.

Protons have a positive charge, whereas electrons have a negative charge.

The coulomb is the unit of charge (C).

Similar charges repel one another.

Similar charges are drawn to one another.

The positive charge produces an electric flux.

The negative charge is the point where electric flux ends.

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A car moves along a level road. If the car's velocity changes from 60 mph due east to 60 mph due west while maintaining a constant speed, the kinetic energy of the car? A. increases B. first increases then decreases C. decreases D. remain the same E. first decreases then increases

Answers

The kinetic energy of the car given that the car changes from 60 mph due east to 60 mph due west will remain the same (Option D)

How do I determine the kinetic energy?

To describe the kinetic energy of the car, we shall determine the kinetic energy of the car at both instance. Details below:

Case 1:

Mass (m) = mVelocity (v) = 60 mph due eastKinetic energy (KE) =?

KE = ½mv²

KE = ½ × m × 60²

KE = ½ × m × 3600

KE = m × 1800

Case 2:

Mass (m) = mVelocity (v) = 60 mph due westKinetic energy (KE) =?

KE = ½mv²

KE = ½ × m × 60²

KE = ½ × m × 3600

KE = m × 1800

Thus, from the above illustrations we can see that the kinetic energy is the same.

Therefore, the correct answer to the question is: remain the same (Option D)

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dr. bronfman has administered her new 100-item test of abstract reasoning to a large sample of students. she is presently comparing their scores on the odd-numbered questions with those on the even-numbered questions in an effort to

Answers

Determine the test's reliability. Test-retest reliability is a metric of dependability that is acquired by giving the same test to a set of people twice over time.

How long should reliability tests be repeated?

Although the ideal testing interval will vary depending on the construct being assessed, its stability over time, and the target population, several research have demonstrated that the target time of 2 weeks is the most frequently advised interval [15].

Interrater reliability between tests is it?

The degree to which various raters and observers provide consistent estimates of the same occurrence is measured by inter-rater or inter-observer reliability. Test-Retest Reliability: Used to evaluate a measure's consistency across time.

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which of the following observations indicates that conditions on mars may have been suitable for life in the past?

Answers

Answer:

Liquid water one flowed on mars,the existence of nutrients,and the previous discovery of a past magnetic field that protected the planet from cosmic and solar radiation.

Consider a circuit where the input voltage source is connected in series with a capacitor, inductor and resistor. Which of the following statements are true: a. Voltage across the inductor must be continuous c. Voltage across the resistor in this circuit must be continuous c. Current through the capacitor must be continuous d. None of the above

Answers

Consider a circuit where the input voltage source is connected in series with a capacitor, inductor and resistor. Which of the following statements are true  (A) Voltage across the inductor must be continuous.

Due to the physical property of electric charge, charged material experiences a force when it is exposed to an electromagnetic field. You could be electrically positive or negative. While like charges repel one another, opposite charges attract.

Because the charge (Q) is constant and equal, the capacitor's value alone

V = Q /C

determines the voltage drop across the capacitor. Lower capacitance values will produce higher voltages, but bigger capacitance values will provide smaller voltage drops.

The voltage drop across a capacitor is correlated with its charge and is uncharged, as opposed to a resistor where the voltage drop is proportional to the initial current and there is an initial current.

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Match the astronomical distance measuring techniques with their approximate ranges: Triangulation. distances up to about 1000 light years.

Answers

Spectroscopy. distances up to about 10,000 light years.

What is astronomical distance?

Astronomical distance is the measurement of space between objects in the universe. It is usually measured in light years, which is the distance light travels in a year. Astronomical distance is incredibly vast and hard to comprehend, as it is measured in trillions of miles. Astronomical distance is used to measure distances between objects in the universe such as stars, galaxies, and planets. Astronomical distances are also used to measure the size of the universe, as well as the age of galaxies and stars. Astronomical distances can be measured using advanced instruments such as telescopes and spectroscopes. Astronomical distances are essential for understanding the structure of the universe and the evolution of galaxies and stars.

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Which of the following is/are accurate? (select any that apply)

a muscle cell has many nuclei

the muscle cell membrane is called the sarcolemma

muscle cells have multiple mitochondria

a muscle cells has one myofibril

Answers

The accurate statements about muscle cells are:

the muscle cell membrane is called the sarcolemmamuscle cells have multiple mitochondria

What are the features of a muscle cell?

A muscle cell also known as a myocyte is a cell that has differentiated with contractility ability.

The muscles differ according to the type of muscle.

There are two types of muscles; smooth muscles and skeletal muscles.

The features of skeletal muscle cells include:

they are  long, cylindrical, multi-nucleated, and striated

The features of smooth muscle cells include:

they contain thick and thin filaments and are non-striated.

Muscles cells contain many mitochondria and myofibrils.

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Two blocks on a surface of negligible friction are attached together by a spring, as shown in the figure above. The mass of block 1 is MM, and the mass of block 2 is 2M. Block 1 is initially moving toward block 2, which is at rest. The spring compresses and decompresses in a repeated motion as the two blocks slide to the right. Which of the following statements best describes the speed of the center of mass of the two-block system?

Answers

In the absence of an external force, the total linear momentum of the system maintains conservation, indicating that the speed of the system's center of mass is constant.

This is because the spring force between the masses acts as an internal force between the two masses.

The product of an object's mass, m, and velocity, v, is known as linear momentum, and it is a vector quantity. In order to express it and refer to momentum informally, the letter "p" is utilized. You should be aware that a body's momentum always points in the same direction as its velocity vector. Because it is a conserved quantity, the overall momentum of a system is always constant. Linear momentum is measured in kg/s.

The total linear momentum prior to an object's interaction and the total linear momentum following that interaction is identical. Any system of objects that is subject to no net external force has a constant total linear momentum.

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Scientists are now targeting Europa, one of Jupiter's moon, as a likely site for searching elementary life-forms because

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Jupiter's moon Europa is regarded as one of the solar system's most promising locations to look for indications of modern life.

The geophysical characteristics of Europa, particularly the potential existence of an ocean of subglacial water, raise the prospect that human life could exist on or below the surface. The solar system's frozen moon Europa of Jupiter may provide the greatest promise for discovering modern settings conducive to life outside of Earth. Scientists have made progress in their quest to determine whether extraterrestrial life actually does exist.  The best contender for alien habitability in our solar system is Jupiter's moon Europa. The hypothesis that life could exist in the inner ocean of Jupiter's moon Europa is supported by a new model created by NASA scientists.

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An alien spaceship traveling at 0.550c toward the Earth launches a landing craft. The landing craft travels in the same direction with a speed of 0.790c relative to the mother ship (as measured by aliens on the mother ship). As measured on the Earth, the spaceship is 0.160 ly from the Earth when the landing craft is launched.
(a) What speed do the Earth-based observers measure for the approaching landing craft?
c
(b) What is the distance to the Earth at the moment of the landing craft's launch as measured by the aliens (mother ship)?
ly
(c) What travel time is required for the landing craft to reach the Earth as measured by the aliens on the mother ship?
yr
(d*) What travel time is required for the landing craft to reach the Earth as measured by Earth-based observers?
yr
(e*) What travel time is required for the landing craft to reach the Earth as measured by those on the landing craft?
yr

Answers

(a)The velocity (Xv) of the craft as measured from the earth is given as follows:

Vx = v¹x+v/1+( v¹x+v/c²) = 0.79∝ + 0.550c/1+(0.79c)(0.550c)

= Vx = 0.434c

Hence Vx is the velocity of the craft with respect to the mother ship and the velocity of the mother ship with respect to earth.

(b) distance between craft and earth, as measured by the mother ship as follows.

[tex]L0 = \sqrt[L]{\frac{1-V^{2} }{C^{2} } } = (0.160ly)\sqrt{1-(\frac{0.550}{c})^{2} }[/tex]

L0 = 0.1336ly.

(c)The velocity of craft with respect to earth as measured from the mother ship is as follows:

VCO = Vcmt + Vme

= 0.790 + 0.550 = 1.34c

Time taken by craft to land on earth as measured by the mother ship is as follows:

t =  0.1336ly/1.34 =  0.0997yr

(d) Time taken by craft to reach earth as measured from the earth is as follows:

t = 0.60ly/0.934c

t = 0.171yr

(e) Time taken by the craft to reach earth with respect to its rest frame is as follows:

to =[tex]\sqrt[t]{1-\frac{v^{2} }{c^{2} } }[/tex]

= 0.171 yr [tex]\sqrt{1-\frac{(0.934c)^{2} }{c^{2} } }[/tex]

to = 0.0610yr

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What is the weight of an 11 kg crate?

Answers

When completely filled with apples, the crate weighs 15 kg; when only 2/3 full, it weighs 11 kg; and when only 1/3 full (with only 1/3 of the crate's apples), it weighs 15-11=4 kg.

What does it mean to weigh?

Definition of WEIGH in the Britannica Dictionary. She measures herself every morning in order to determine how heavy she is. 1. a [+ object]: to determine (someone or something's) weight. The bananas were weighed using a scale.

what are they Weight scales?

To quantify weight or mass, one uses a scale or balance. These are also referred to as weight balances, mass balances, and scales of both mass and weight.

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Explain how magnetic stripes on the ocean floor are evidence for sea-floor spreading

Answers

Answer:

When the Earth's magnetic field reverses, a new stripe, with the new polarity, begins. Such magnetic patterns led to recognition of the occurrence of sea-floor spreading, and they remain some of the strongest evidence for the theory of plate tectonics.

Explanation:

If a conductor is in electrostatic equilibrium near an electrical charge:A) The total charge on the conductor must be zero.B) The electric field inside the conductor must be zero.C) The charges on the conductor must be uniformly distributed.D) The sum of all forces between conductor and the electrical charge must be zero.

Answers

If a conductor is in electrostatic equilibrium near an electrical charge i.e. the correct option is, B) The electric field inside the conductor must be zero.

Because charge carriers can freely move within a conductor, when a charged or uncharged conductor is exposed to an external electric field, charge will flow until a steady state is reached, at which point the net flow of charge will cease. This state is known as electrostatic equilibrium. If the conductor is charged, the charges within it are rearranged, resulting in a zero net electric field inside the conductor. The net field inside the conductor again becomes zero if the conductor is polarized after being neutral.A neutral or charged conductor will typically achieve electrostatic equilibrium with a net zero electric field inside of it when it is kept close to an electric charge.

The conductor in electrostatic equilibrium has characteristics such as a zero electric field inside and excess charges that are located on the surface. Therefore, the conductor's internal electric field must be zero.

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An 800-MW electric power plant has an efficiency of 30%. It loses its waste heat in large cooling towers. Approximately how much waste heat (in MJ) is discharged to the atmosphere per second? The answer is 1,900 MJ but I need to know how to get that.

Answers

|Qc| and |Qh| I got, |Qc| = 1866.69 MW, or 1866.69x10^6 J/s, |Qh| = 2666.67 MW.

What is Efficiency?

Efficiency is the maximum level of performance that requires the fewest inputs and produces the greatest amount of output.

Efficiency calls for fewer superfluous resources, such as one's own time and energy, being spent to create a particular outcome.

Efficiency is a concept that may be measured by comparing the usable output to the entire input.

When achieving the desired outcome, increased efficiency reduces the waste of resources including time, energy, and physical materials.

Therefore, |Qc| and |Qh| I got, |Qc| = 1866.69 MW, or 1866.69x10^6 J/s, |Qh| = 2666.67 MW.

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The __________ field of the earth is produced in part by the flow of hot liquid iron near the earth's core.

Answers

The magnetic field of the earth is produced in part by the flow of hot liquid iron near the earth's core.

What is a magnetic field?

A magnetic field is defined as the field that is being created or produced by a magnetic material which permits the action of magnetic force.

The innermost part of the earth is made up of the earth core which is surrounded by an outer part.

The outer core of the earth is mostly made up of liquid iron and nickel.

Therefore, the magnetic field of the earth is produced in part by the flow of hot liquid iron near the earth's core.

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landings at the top and bottom of stairs should be at least equal in length to the of the stairway.

Answers

In cases when the stairway is straight, the width of the landing in the direction of travel must at least match the stair's width and cannot be greater than 1219mm.

The four main axes are north, south, east, and west. A map is a representation or drawing of the entire or a portion of the surface of the earth done to scale and on a flat surface. A spherical shape, however, cannot be totally flattened. Distance, direction, and symbol are the three elements that make up a map.

Most maps have an arrow with the letter "N" on them in the upper right-hand corner. North is indicated by this arrow's orientation. It is referred to as the north line. You can determine which direction is east, west, or south once you know which way is north. The four main axes are North, South, East, and West. ​

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Look at the force diagram. What is the acceleration of the object?

Answers

The acceleration of the object, given that it has a mass of 12 Kg is 12 m/s²

How do I determine the acceleration of the object?

We'll begin by obtaining the net force acting on the object. This can be obtain as shown below:

Force to the right = 175 NForce to the left = 31 NNet force = ?

Net force = Force to the right - Force to the left

Net force = 175 - 31

Net force = 144 N

Finally, we shall determine the acceleration of the object. Details below:

Mass of object (m) = 12 KgNet force = 144 NAcceleration (a) =? 4

Net force = mass × acceleration

144 = 12 × acceleration

Divide both sides by 12

Acceleration = 144 / 12

Acceleration = 12 m/s²

Thus, we can conclude that the acceleration is 12 m/s²

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an automobile of mass m is proceeding around a highway curve of 40 meter radius. The surface of the roadway is horizontal, and the coefficient of friction between the tires and roadway is 0.50. The max speed with which the car can round the curve without slipping isa. 6.3 m/sb. 4.9 m/sc. 9.8 m/sd. 14.0 m/se. 19.6 m/s

Answers

The max speed with which the car can round the curve without slipping is 14 m/s

What is friction?

Friction is a force that develops when objects rub against one another. The ability of the tyre to "push" off the road and propel the vehicle is due to the frictional force between the road and tyre.

The radius of the curve,r = 40m

The coefficient of friction μ = 0.5

From the Newton's law, we have,  μmg = mv^2/r

in terms of speed we get,  v = √μrg

                  v    = √(0.5)(40m)(9.8m/s^2)

                         = 14 m/s

Therefore the max speed with which the car can round the curve without slipping is 14 m/s

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Approximately, ___ municipal solid waste landfills in the United States combust landfill gas to generate heat and electricity
400

Answers

Approximately, 400 tons of municipal solid waste landfills in the United States combust landfill gas to generate heat and electricity

What is municipal waste?

We know that municipal waste has to do with the waste products that can be obtained from the activities that go on in the city. the magnitude of the municipal waste that is generated in a place would have a lot to do with the population of the area as well as the industrial saturation of the area.

This is the reason why the areas that have less population and the industries that are there are not so much do not expirience a lot of pollution and do not have a large amount of waste water that goes out as sewage.

The solid wastes that are generated in the United States is just as large as the sewage that is generated in the united states and calls for a very urgent attention.

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You found that the unknown metal has a specific heat capacity close to, for example, that of silver (c=234J/(kg?K)). Let's compare silver to other known materials and see whether your results make sense. Imagine you have 1 kg of each of the substances listed below.
If the same amount of heat Q is added to each, which substance will undergo the largest change in temperature ?T? Assume that no substance experiences a phase change.

Answers

According to the given statement a. c= silver/ 234J(kg/K) > b. c= water/ 4190 J(kg/K) > c. c= glass/ 754J/(kg.K).

Why is heat capacity essential and what does it mean?

The quantity of energy per unit mass needed to increase the temperature by one degree Celsius is known as the thermal inertia or specific heat. The ability to distinguish between two composite materials using specific heat can be useful in calculating the processing heats and volume of heat required.

Briefing:

Since the heat produced by a substance's temperature change for a particular amount is determined by:

Q = mCpΔT

We may conclude that the greater the specified heat, the more the required energy since they are directly proportional because the specific heat is connected to the amount of energy needed to elevate the temperature of 1 kilogram of a substance by 1 °C. Additionally, since the heating value and the temperature change are inversely related, it follows that the greater the specialized heat, the less the temperature changes. Accordingly, we may rank the substances as follows:

a. c= silver/ 234J(kg/K) > b. c= water/ 4190 J(kg/K) > c. c= glass/ 754J/(kg.K)

Given that silver has the lowest specific heat, followed by water and then glass, it follows that silver will cause the greatest temperature change.

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A 4kg blob of putty moving at 8 m/s slams into a 12 kg blob of putty at rest. What is the velocity of the two stuck- together blobs immediately after colliding?

Answers

The speed of the to stick together blobs immediately after colliding will be 2m/s.

How to solve?

Given that:

Mass of first blob = 4kg = m1

Velocity of blob = 8m/s = v1

Mass of second blob = 12kg = m2

Velocity of blob = 0m/s = v2

To find:

Final velocity = Vf

Formula to be use:

(m1*v1) + (m2*V2) = Vf(m1 + m2)

(4*8) + (12*0) = Vf(4+12)

32 + 0 = Vf(16)

32 = Vf(16)

Vf =  2m/s

So the speed of two blobs immediately after colliding = 2m/s

How do we arrive at the V1 and V2 equations for elastic collisions?

V1: (m1-m2/m1+m2)

u1 + (2m2/m1+m2)

u2 V2: ( 2m1/m1+m2) u1 + (m2-m1/m1+m2) u2 Assume that mass 1 has an initial velocity of u1, a final velocity of v1, a mass 2 beginning velocity of u2, and a mass 2 final velocity of v2.

What in physics does m1v1 m2v2 mean?

V1 stands for the volume of stock solution required to create the new solution. M1 = Stock solution concentration. The total volume of the solution is V2.

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one of the strongest emission lines observed from distant galaxies comes from hydrogen and has a wavelength of 122 nm (in the ultraviolet region).

Answers

(a) The galaxy moves with a velocity of 0.8 c away from us.

(b) When the galaxy moves towards us we observed that the wavelength of the line is 40.67 nm.

We know that,

                        The relativistic Doppler effect when the galaxy is moving away from us

          In this case, when the source moves away from the observer its frequency ([tex]f[/tex]) is lower than the emitted frequency ([tex]f_{0}[/tex]) and the preceding wavelength ([tex]\lambda[/tex]) is higher than the emitted wavelength ([tex]\lambda_{0}[/tex]).

                                 [tex]f=f_{0} \sqrt{\frac{1-\frac{u}{c} }{1+\frac{u}{c} } }[/tex]

                          [tex](\frac{\lambda_{0} }{\lambda})^{2} = \sqrt{\frac{c-u}{c+u} }[/tex]

Given that

                      [tex]\lambda_{0} =122 nm\lambda=366nm[/tex]

So

                    [tex](\frac{122}{366} )^{2} =\frac{c-u}{c+u} \frac{1}{9} = 8cu=0.8c[/tex]

Where c is the velocity of light it is equal to [tex]3*10^{8} m/s[/tex].

So when the galaxy moves towards us we observed that the wavelength of the line is 40.67nm.

(b) When the galaxy moves towards us its wavelength is shorter than the emitted wavelength.

The expression of the wavelength in this case is given by

                    [tex]\frac{\lambda _{0} }{\lambda } =\sqrt{\frac{c-u}{c+u} }[/tex]

                         = 40.67 nm

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The elevator descends with an acceleration of 0.9 m/s². Find how much a 95 kg person weighs in it at the moment of descent. ​

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