A spherical asteroid with a radius of 823 km has an escape speed of 4 103 m/s.
Explain about the gravitational acceleration?Gravitational acceleration is the acceleration that an object experiences as a result of the gravitational force acting on it. Its symbol is "g," and its unit is m/s2. Gravitational acceleration is a vector quantity, having a magnitude and a direction.
(a) The given values are
[tex]$$r=500 \mathrm{~km}$$[/tex]
[tex]$$\Rightarrow a=3.0 \mathrm{~ms}^{-2}$$[/tex]
[tex]$$\Rightarrow v=1000 \mathrm{~ms}^{-1}$$[/tex]
[tex]$$\Rightarrow h=1000 \mathrm{~km}$$[/tex]
We know that the formula for gravitational acceleration is given as
[tex]$$a_g=\frac{G M}{r^2}$$[/tex]
And the formula for the escape velocity is given by
[tex]$$v=\sqrt{\frac{2 G M}{r}}$$[/tex]
Substituting for gravitational acceleration in the above formula we get
[tex]& \Rightarrow v=\sqrt{\frac{2 a_g r^2}{r}} \\[/tex]
[tex]& \Rightarrow v=\sqrt{2 a_g r}[/tex]
Substituting the given values for the radius and gravitational acceleration.
[tex]$$\Rightarrow v=\sqrt{2(3.0)\left(500 \times 10^3\right)}$$[/tex]
[tex]& \therefore v=1.732 \times 10^3 \mathrm{~ms}^{-1}[/tex]
The complete question is,
(a) What is the escape speed on a spherical asteroid whose radius is 5 (lind whose gravitational acceleration at the surface is 3.0 [tex]\mathrm{~ms}^{-2}$[/tex]
(b) How far from the surface will a particle go if it leaves the asteroid's surface with a radial speed of[tex]$1000 \mathrm{~ms}^{-1}$[/tex]
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n 85-kg jogger is heading due east at a speed of 2.0 m/s. a 55-kg jogger is heading 32° north of east at a speed of 3.0 m/s. find the magnitude and direction of the sum of the momenta of the two joggers.
The angle's sum of moments has a magnitude and direction of 21.87 degrees north of east.
P1=mvi
P1=85x2.0i
P1=170.0i
P2=m2v2i+m2v2j
p=p1+p2
How would you define magnitude?Dimension is basically "quantity or volume" in the viewpoint of mechanics. In terms of motion, it shows the absolute or relative size, direction, or movement of an item. It is used to describe something's size or scope. Magnitude in physics often refers to a size or amount.
What scale does magnitude use?The most typical way to gauge an earthquake's size is by its magnitude. No matter where you are or how violent the shaking is, it is the same number since it represents the size of the earthquake's source.
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4.127 a model solid propellant rocket has a mass of 69.6 g, of which 12.5 g is fuel. the rocket produces 5.75 n of thrust for a duration of 1.7 s. for these conditions, calculate the maximum speed and height attainable in the absence of air resistance. plot the rocket speed and the distance traveled as functions of time.
The maximum speed and height attainable in the absence of air resistance is 139.2 m/s and 1100m.
Umax = U(t = t’ = 1.7 sec) = 139.2 m/s (h(t = t’) = 114 m)
hmax = h(t = tm = 15.9 sec) = 1100 m
Assume that the rocket's mass flow rate is constant. Assume, too, that the thrust will remain constant throughout the burn.
Apply the rocket's frame of reference to the CV displayed and the linear momentum equation in the y-direction.
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I understand that the question you are looking for is:
A model solid propellant rocket has a mass of 69.6 gm, of which 12.5 gm is fuel. The rocket produces 1.3 lbf of thrust for a duration of 1.7 sec. For these conditions, calculate the maximum speed and height attainable in the absence of air resistance. Plot the rocket speed and the distance traveled as functions of time
A 60kg tudent (including the hang glider) i initially traveling 26m/ to the right a he hanglide off the top of a 30m tall building. During the flight the ytem experience a 426N upward lift force and a 74N drag to the left. What i the magnitude of her vertical acceleration?
What i the magnitude of her horizontal acceleration?
How long will he remain in the air?
How far from the bae of the building will he land?
A. The magnitude of her vertical acceleration during flight is 2.7 m/s².
B. The magnitude of her horizontal acceleration during flight is - 1.23 m/s².
C. The student will remain in the air for 4.71 s.
D. The distance between the student and the building when she land is 108.78 m.
When a student uses a hang-glider from the top of a building, she goes on a path like a parabolic curve because she is doing a projectile motion.
In vertical axisTwo forces are working on her.Weight force Mass of the student = m = 60 kgIn horizontal axis
There is a force that drags her to left.In vertical axis
The initial speed = u = 0 m/sThe acceleration = a = 2.7 m/s²Height = h = 30 mAccording to non-uniform motionIn horizontal axis
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Wind resistance created by opening windows while driving results in a fuel penalty as great or greater than is incurred by using air conditioning.
(A) as great or greater than is incurred by using air conditioning
(B) that is as great or greater than is incurred using air conditioning
(C) as great as or greater than that of using air conditioning
(D) at least as great as air conditioning's
(E) at least as great as that incurred by using air conditioning
As much redundancy as possible. A,B,C->out. D=inaccurate comparison A fuel penalty "as big as" that caused by using air conditioning is encountered when windows are opened while driving.
How much does the car resist?The set of forces that act to prevent your vehicle from moving forward is known as rolling resistance. The degree of friction between the tires and the road, gravity, inertia, air drag, and the weight of the vehicle are all factors.
How much overall driving resistance is there?Total resistance refers to the entire amount of force preventing a vehicle from moving, including frictional forces inside the drivetrain.
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A cart of weight 20 n is accelerated across a level surface at 0. 15 m/s2. What net force acts on the wagon? (g = 9. 8 m/s2).
The net force that acts on the cart of wagon is calculated as 3N.
What is net force?
The net force of a body can be calculated by multiplying the mass of the body by its acceleration. That is;
Force (N) = weight (N) × acceleration (m/s²)
According to this question, a weight of 20N accelerated across a level surface at 0.15 m/s². The net force can be calculated as follows:
F = 20 × 0.15
F = 3N
Therefore, the net force that acts on the cart of wagon is calculated as 3N.
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Listed following are several objects in the solar system. Rank these objects from left to right based on their orbital period around the Sun from shortest to longest. A typical asteroid in the asteroid belt, a trojan asteroid, a typical kuiper belt object, a typical oort cloud object
The orbital period around the Sun from shortest to longest from the sun is asteroid belt - (3 earth years)⇒ trojan asteroid(4 earth years)⇒ typical Kuiper belt object (∠ 200 earth years )⇒ typical Oort cloud object (P≈ 5*10⁶ years).
What is Solar system?This refers to the sun, star, moon, and all the bodies moving around the sun and held by gravity.
Other components of the solar system include:the 9 planets (Mercury, venus, earth mars, Jupiter Saturn, Uranus, Neptun and pluto)SatellitescommetsAsteroids etcThey are all held by gravity and move around the sun at different times and duration this movement is known as a revolution.
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a wave with wavelength of 3 m long oscillates 1.5 times each second. what's the speed of the wave? (in m/s)
A wave of 3 m in length oscillates 1.5 times every second. The wave moves at a pace of 4.5 m/s.
What use does wavelength serve?The length of such a wave is expressed by its wavelength. The wavelength is the distance between one wave's crest and the following wave's crest. The wavelength can also be determined by measuring from "groove" (bottom) of one pulse to the "trough" of the following wave.
Briefing:Given:
Number of oscillation per seconds = 1.5
Wavelength; λ = 3m
Speed of the wave; ν = ?
The number of instances of a repeating phenomena per unit of time is what we meant by frequency.
Given that the pulse oscillates 1.5 times per second, its frequency is 1.5 Hz.
Speed = ν*f
ν = 3m * 1.5Hz
ν = 3m * 1.5s⁻¹
ν = 4.5ms⁻¹
ν =4.5 m/s
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a charge is moving north (upward) bound to a wire. the field lines associated with this current is group of answer choices points outward on the left and points inward on the right. pointing to the left pointing to the right points inward on the left and outward on the right. pointing out of the page pointing downward (south)
When the charge is moving North (upward) down to a wire the field lines associated with this current will be inward on the right and outward on the left.
According to the Right Hand Thumb Rule the direction of the magnetic field associated with the current can be given as,
By pointing of the right hand into the direction of the current, the direction of the curling of the fingers of the right hand will give the direction of the magnetic field.
So, if the charges moving north which is upward direction,
The magnetic field lines associated with the current will be in a circular manner with the right side of the magnetic field Pointing inwards and the left side of the magnetic field Pointing outwards.
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Four identical blocks are moving on a surface for which the coefficient of kinetic friction between each block and the surface is Hk. The velocity of each block is indicated by the vector on the block.for which block is the force of friction between the surface and the block greatest?
The maximum friction pressure that can act at the block is given with the aid of fax = muS*N, in which muS is the coefficient of static friction.
In physics, pressure is a power that could alternate the movement of an object. A force can motivate an item with mass to alternate its velocity, i.e, to boost up pressure also can be defined intuitively as a push or a pull. A pressure has both significance and path, making it a vector quantity.
Exceptional kinds of pressure are contact forces and non-forces. a few examples of pressure are Nuclear force, gravitational force, Frictional pressure, magnetic pressure, electrostatic force, spring pressure, and so on.
In physics, a force is a push or pull between gadgets. it is called an interplay because if one object acts on another, its action is matched by using a response from the alternative item. This idea is called Newton's 0.33 regulation, wherein movement and reaction are identical and opposite.
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listed following are several stars found in the disk and halo of the milky way galaxy. assume that both the blue and yellow disk stars are members of the same open cluster. rank the stars based on the abundance of elements heavier than carbon that you would expect to find in each of the stars, from highest to lowest. if you expect two (or more) stars to have approximately the same abundance, rank them as equal by dragging one on top of the other(s).
a) hot, blue mains sequence star in open cluster in disk.
b) red main sequence star in globular cluster M13
c) yellow main sequence star in open cluster in disk.
d) red giant in globular cluster M13.
I just put (heaviest abundance - lowest abundance) at
c - a - (c and d)
Highest Abundance: Yellow main-sequence star in open cluster in disk AND hot, blue main-sequence star in disk.
Lowest Abundance: red giant in globular cluster M13 AND red main-sequence star in globular cluster M13.
What is abundance?
Astronomers refer to all chemical elements heavier than hydrogen or helium as metals, including elements such as carbon and oxygen that are not normally considered metals. The metallicity of a star is therefore given as the proportion of these "metallics" in the stellar mass. About 2% for the Sun.
However, this definition cannot fully define the chemical composition of stars. Because you can achieve the same amount of metal in an almost infinite number of ways. For example, a star with a particular metallicity may have all of its metals iron, and another star with the same total metals content may have all of its metals oxygen. In the world, the entire periodic table of elements is present in every star, but the relative abundance of each element varies from star to star.
To quantify the relative abundance of individual elements in a star, astronomers define the "abundance ratio" as the logarithm of the ratio of the star's two metallic elements to the ratio of the Sun.
Therefore,
Highest Abundance: Yellow main-sequence star in open cluster in disk AND hot, blue main-sequence star in disk.
Lowest Abundance: red giant in globular cluster M13 AND red main-sequence star in globular cluster M13.
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Kamal's family is leaving for merry mountain resort once his parents get home from work on friday. Their house is 627 miles from the resort. They plan to stop and spend the night at a hotel after 4 hours of driving, then complete the rest of the trip on the second day. Their average speed is 60 miles per hour. Which equation can you use to find how long, x, they will drive on the second day?.
The time taken by Kamal's family to drive on the second day is 6.45 hours.
What is speed?
Speed is defined as the ratio of the time it takes for a body to cross a distance to the time it takes.
The time is calculated as:-
For 4 hours of driving at an average speed of 60 miles per hour, the distance covered is,
d = 60 x 4 = 240miles
Miles remaining for the second day is,
627 - 240 = 387 miles
Time taken to cover 387 miles second day is,
T = 387 / 60 = 6.45 hours
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Nuclear decay occurs according to first-order kinetics. How long will it take for a sample of titanium-45 to decay from 65. 0 grams to 25. 0 grams? the half-life of titanium-45 is 3. 08 hours.
The mass of Ti-51 remaining after 1 hour will be 0.0977 g
Is radioactive decay first order kinetics?Since radioactive decay is a first-order process, we can also use this equation for the rate constant, which comes from first-order kinetics, which says that the rate constant k is equal to 0.693 divided by the half-life.Nuclear decay is an excellent example of a first order process. The rate of decay is simply proportional to the amount of the radioactive isotope. This is due to the fact that any isotope has the same chance of decaying at any given time.Because nuclear decay reactions follow first-order kinetics and have a rate constant that is independent of temperature and the chemical or physical environment, we can perform similar calculations using the half-lives of isotopes to estimate the ages of geological and archaeological artifacts.The first-order radioactive decay law states that the rate of decay (number of disintegrations per second) is proportional to the number of radioactive atoms (N) present at that time t. N = No e-λt.#a. ⁵¹₂₂ Ti + ⁰₋₁e → ⁵¹₂₃V
#b. 0.0977 g
#a.
Titanium-51 is the radioisotope that undergoes Beta emission to emit a daughter isotope Vanadium-51 (Mass number-51 and atomic number -23).
Titanium-51 has a mass number of 51 and atomic number of 22.
A beta particle is equivalent to ⁻¹₀e
Beta emission does not affect the mass number of an isotope but increases the atomic number by 1.
Therefore;
The reaction will be;
⁵¹₂₂Ti + ⁻¹₀e → ⁵²₂₂V
#b.
The half life of Ti-51 is 6 minutes
We can calculate the mass remaining after 1 hour (60 min)
Original mass of the sample = 10.0 g
But; using the formula;
Remaining mass = Original mass × (1/2)^n , where n is the number of half lives.
in this case, n = time/half life
= 60 min ÷ 6 min
= 10
Therefore;
Remaining mass = 100 g × (1/2)^10
= 0.0977 g
Therefore, the mass of Ti-51 remaining after 1 hour will be 0.0977 g
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During a protostar's T Tauri phase, it
a. begins a period of reduced activity.
b. expands dramatically.
c. may develop very strong winds.
d. changes its spin direction.
e. lies on the main sequence.
c
During a protostar's T Tauri phase it may develop strong winds.
Adolescence typically consists of four stages for a rising star. First, it starts as a protostar still shrouded in its natal molecular cloud. A very young star still gaining mass from its parent molecular cloud is known as a protostar.
The proto-stellar phase is the earliest stage of stellar evolution. As it accretes new material and a protoplanetary disc forms. The third stage, when the surrounding envelope has cleared, is called the T-Tauri phase. This is due to the gradual removal of the surrounding shell of gas and dust by stellar winds and radiation. T-Tauri stars are relatively young, less than ten million years old (the class is named after the first star of this type to be identified).
The correct option is c.
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Which free body diagram represents the forces acting on an object the moment the applied is removed ,but while the object is still moving forward
The diagram of free body diagram represents the forces acting on an object the moment the applied is removed ,but while the object is still moving forward is attached in the answer.
What is free body diagram?The relative strength and direction of all forces operating on an object in a specific circumstance can be depicted using free body diagrams (FBDs), which are helpful tools. The careful creation of a free-body diagram is a prerequisite for the analysis and description of the majority of physical processes. In a free body diagram, the size of the arrow represents the force's magnitude, while the direction of the arrow represents the way it acts.
Describes what a free body diagram is: A graphic, dematerialized, symbolic representation of the body (a structure, element, or fragment of an element) in which all connecting "parts" have been eliminated is known as a free-body diagram.
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an automobile engine provides 508 joules of work to push the pistons and generates 2277 joules of heat that must be carried away by the cooling system. calculate the change in the internal energy of the engine. e
The change in the internal energy of the engine is 508 + 2277 = 2785 joules.
What is internal energy?
Rising temperature and changes in state as well as phase from solid to liquid as well as liquid to gas cause an increase in internal energy. Planetary bodies can be viewed as a fusion of heat engines and heat reservoirs. Internal energy E is stored in the heat reservoirs, and some of it is converted into different kinds of mechanical, electrical, and chemical energies by the heat engines. The sum of the kinetic energy brought on by the motion of molecules as well as the potential energy brought on by the vibrational motion as well as electric energy of atoms inside of molecules makes up the internal energy U of the a system or a body with clearly defined boundaries. The energy contained in every chemical bond is also referred to as internal energy.
The change in the internal energy of the engine can be calculated using the First Law of Thermodynamics, which states that the increase in the internal energy of a system equals the work done by the system plus the heat added to the system. In this case, the work done by the engine is 508 joules and the heat generated by the engine is 2277 joules. Therefore, the change in the internal energy of the engine is 508 + 2277 = 2785 joules.
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why do we say that force is a vector quantity? it has magnitude only because forces can be unbalanced it has direction only it has magnitude and direction because forces can be balanced next
The fact that force has both a magnitude and a direction makes it a vector quantity.
Explanation
A force has a direction and a magnitude.
Force in Balance and Disproportion A force is a vector quantity since it has both magnitude and direction. The strength of a force can be expressed mathematically as its magnitude. The force's direction is the direction in which it pushes or pulls something. Two forces that are the same in size but acting in opposite directions are not equal. The newton (N), which bears Sir Isaac Newton's name, is the SI unit of force. Due to Earth's gravity, weight is also a form of force; as a result, the SI unit for weight is also a newton.
The fact that force has both a magnitude and a direction makes it a vector quantity.
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A proton and an electron are placed in an electric field. Which undergoes the lesser acceleration?.
Putting a proton or an electron in an electric field causes the proton to accelerate less.
Describe the electric field.The electric force on such a charge at a given point in space is equal to that point's electric field times the quantity of charge present there. The electric field is the amount much electric force per charge. Recapitulating, electric charges produce an electric field.
what is An example of an electric field i?The area of space around like an electrically charged molecule or object that exerts force on the charge body is known as the electric field. Examples include the creation of electric fields by charges and their arrangements, such as in capacitors and battery cells.
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A student in an electronics lab is studying the electrical properties of pieces of graphite. The
student applies a potential difference of 24 V across the length of a cylindrical piece of graphite
with a radius of 0.5 mm. The student has another piece of graphite of the same length but with a
radius of 0.7 mm. The student wants the same current in both pieces of graphite. What potential
difference should the student apply across the 0.7 mm piece?
A) 6 V B)12 V C) 17 V D) 24 V
The student should apply a 17V potential differential across the 0.7 mm piece.
How may potential differences be found?The potential difference between places A and B is defined as the change in potential energy (PE) of a charge (q) transported from A to B, divided by the charge (V = VB - VA).
The joules per coulomb, sometimes known as volts (V) in honor of Alessandro Volta, are the units of potential difference.
The change in potential energy (PE) of a charge (q) transported from point A to point B, divided by the charge, is thus used to determine the potential difference between points A and B as V = VB - VA.
Volt is the SI unit for electrical potential. V stands for it.
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humans can produce an output power as great as 20 w/kg during extreme exercise. sloths are not so energetic. at its maximum speed, a 4.0 kg sloth can climb a height of 6.0 m in 2.0 min.
Specific Power S.P=0.49 W/kg
The power when an amount of energy ΔE is transferred in a time interval Δt is given by:
P= Δt/ΔE.........(1)
The gravitational potential energy of an object of mass m at height y (assuming [tex]U_g = 0[/tex] at y = 0) is given by:
[tex]U_g[/tex] = mgy.........(2)
The specific power of a person (or animal, machine, or device) of mass m doing the transformation or the work is given by:
specific power= mass of agent causing the transformation of transfer /power of a transformation or a transfer
The mass of the sloth is m= 4 kg and it climbs a height of h = 6 m in Δt=20 min 120 s.
Let its initial height be the zero gravitational potential energy level y=0; So its final height is yf = h
So, from equation (2), the change in the sloth's gravitational potential energy is:
ΔE=Uf−Ui =mg(h−0)=mgh
Now, we plug our values for m and h, so we get:
ΔE=(4.0 kg)×(9.8 m/[tex]s^2[/tex])×(6.0 m)
=235 J
Then, we plug our values for ΔE and Δt into equation (1), so we get the output power of the sloth:
P= 120 s/235 J
=1.96 W
Finally, we plug our values for P and m into equation (3), so we get the specific power of the sloth for this climb:
S.P= 4.0 kg/1.96 W
=0.49 W/kg
∴ S.P=0.49 W/kg
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under normal conditions, when is the only time that an oil film does not keep engine parts separated?
An oil film does not keep engine parts separated when:
The oil level is too low.The oil is too dirty.The oil is too old.The Importance of a Good Oil Level in EnginesThe proper functioning of engines depends on many factors, but one of the most important is the level of oil. Oil lubricates and protects the internal parts of the engine, keeping them apart.
This helps prevent wear and friction between moving parts, ensuring optimum performance. If the oil level is too low, the engine parts will not be adequately lubricated and separated, which can result in serious problems.
Therefore, it is essential to maintain the oil level at an adequate level. To do this, it is recommended to check the oil level regularly.
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which has the lowest heat capacity? (values of heat capacities and calculations are unnecessary). which has the lowest heat capacity? (values of heat capacities and calculations are unnecessary). 3 kg of iron 10 g of liquid water 30 kg of ice 1 g of gold
Answer:
3kg of iron
Explanation:
what is the density of the oil? [hint: pressures at points a and b are equal. why?] express your answer with the appropriate units.
The majority of oils have densities that fall within the 700–950 kg/m3 (kg/kg/m3) range. In oils, it is typically stated as +15°C or +20°C, in kilograms per square meter.
Explain density.Density Definition How closely a material gets packed together is determined by its density. It is described as the mass per volume. Density Symbol: D or Density formula: = m/V, where m is the object's mass and V is its volume.
What does density mean, for example?How compact & concentrated anything is is described by its density. Consider having two boxes, on large and one tiny. They each weigh the same, though. As a result, the small box does have a greater density than the huge box. Additionally, density reveals how crowded or concentrated something is.
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a satellite is orbiting the earth a distance re above its surface. what is the acceleration due to gravity in this orbit?
the acceleration due to gravity in this orbit where a satellite is orbiting the earth a distance re above its surface is 2.45 m/s2
What is gravity ?
The force that pulls items toward the centre of a planet or other entity is called gravity. All of the planets are kept in orbit around the sun by gravity
From the given infromation-
Gravitational constant = G
Mass of Earth = M
Radius of Earth = [tex]R_{e}[/tex]
Gravitational acceleration at the surface of Earth = g = 9.8 m/s2
[tex]g = \frac{GM}{R_{e} ^{2} }[/tex]
Altitude at which the satellite orbits Earth = H = [tex]R_{e\\}[/tex]
Orbital radius of the satellite = R
R = [tex]R_{e}[/tex]+ H
R = [tex]R_{e}[/tex]+ [tex]R_{e}[/tex]
R = 2 [tex]R_{e}[/tex]
Acceleration due to gravity in this orbit = [tex]g_{o}[/tex]
[tex]g_{o} = \frac{GM}{R_{e}^{2} }[/tex]
[tex]g_{o} = \frac{GM}{2 ( R_{e}^{2} ) }[/tex]
[tex]g_{o} = \frac{g}{4}[/tex]
[tex]g_{o} = \frac{9.8}{4}[/tex]
[tex]g_{o}[/tex] = 2.45 m/s2
Acceleration due to gravity in this orbit = 2.45 m/s2
Hence the acceleration due to gravity in this orbit where a satellite is orbiting the earth a distance re above its surface is 2.45 m/s2
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which property of an object will not be changed by moving it from one place on the earth to another?
By shifting an object from one location on the planet to another, its mass will remain unchanged.
What is an object in a sentence?To refer to the item or person that is the target of an action, we typically use the word "object." Alternatively, the recipient. In a sentence, a verb's action is transferred to a noun or pronoun as a direct object. It typically responds to the what- or whom-questions regarding the verb.
What is a picture or an object?Icons, cursors, buttons, sprites, and other complicated artworks can be made from a collection of simple visual pieces called image objects. Without having to sketch a single pixel, Image Objects let you express creativity.
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If the sun mysteriously gets twice as massive as it is right now, what effect will it have on its pull on mars?.
This can be determined by using Newton's law of gravitation. As the gravitational force between Mars and sun can be matched snd hence the sun's effect on Mars can be determined.
How to determine the gravitational force between sun and Mars?
We know, gravitational force is
F=GMmr²
The variables M and m here represent the masses of the Sun and Mars. From this relationship, we can tell that each mass is directly proportional to the force;
F ∝ MF ∝ m
Therefore, any factor that gets multiplied to either mass directly affects the force in the same way. If the sun were twice as massive, then its pull on Mars should thus also twice as much.
This, we are assuming when factors like the mass of Mars and the distance between the Sun and Mars is unchanged.
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a sound has a frequency of 1000 hz. if a listener moves with a speed of 30 m/s away from the source, what is the frequency heard by the observer? (the sound speed is 340 m/s.)
The frequency heard by the observer is 923 Hz, which is lower than the frequency emitted by the source (1000 Hz).
What is frequency?
The term "disturbance" refers to a moving disturbance. These mechanical waves, which are numerous and must pass through a medium like air or water, must travel. In addition to a vacuum, other types of waves, such as electromagnetic waves, can pass through solid objects. The frequency and wavelength of a wave are two examples of the distinct characteristics that help describe its motion and energy. It is generally understood that frequency refers to the regularity of an event, or more specifically, the regularity of a wave. The wave count that pass through a point in a predetermined amount of time is how frequently waves occur. The amount of waves which pass a point inside one second is another way to define frequency.
The frequency heard by the observer is lower than 1000 Hz. This is due to the Doppler effect, which states that the frequency of a sound heard by an observer moving away from the source is lower than the frequency of the sound emitted by the source.
The change in frequency is given by the formula:
f' = f (v + v_s) / (v - v_o)
where f' is the frequency heard by the observer, f is the frequency emitted by the source, v is the speed of sound, v_s is the speed of the source, and v_o is the speed of the observer.
In this case, f' = 1000 Hz (340 + 0) / (340 - 30) = 923 Hz.
Therefore, the frequency heard by the observer is 923 Hz, which is lower than the frequency emitted by the source (1000 Hz).
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a 1,000-mw (el) power plant working at 35% thermal efficiency 100% of the time (base load) uses coal with formula ch and a heating value of 30 mj/kg. how much co2 does this plant emit (metric tons/y)?
The amount of CO₂ emitted by the plant is 7773579.832 metric tonnes per year.
Power of the plant = Capacity of the plant = 1000 MW
Working efficiency = 35%
Time = 100%
Heating value of coal = 30 mj/Kg
One year KWh of the plant =
= 1000 X 1000 X 365 X 24
= 31536 X 10¹² metric tonnes per year
Amount of coal =
= (31536 X 10¹² ) / (30 X 10⁶ X 0.35)
= 3003428571 Kg
Thus, the amount of CO₂ emitted by the plant =
= (3003428571 X 44) / 17
= 7773579832 Kg/ year
= 7773579.832 metric tonnes per year
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Suppose a paper rocket has a mass of .023 kg. The rocket travels at a velocity of 6.6 m/s and then hits the ground sliding to a stop. If the rocket travels 15 m in coming to a rest what is the work done by friction?
Answer:
.5 J
Explanation:
KInetic Energy of the rocket = 1/2 mv^2 = 1/2 .023 * 6.6 = .5 J
the work of friction has to equal this .5 J
calculate the average kinetic energy of the ch4 molecules in a sample of ch4 gas at 273 k and at 585 k. 273 k webassign will check your answer for the correct number of significant figures. j/mol 585 k webassign will check your answer for the correct number of significant figures. j/mol
The average kinetic energy of the methane CH₄ molecule at 273K and 585K is 565 x 10⁻²¹ J and 1.21 x 10⁻²⁰ J. respectively.
The average kinetic energy of a gas molecule is given by the formula,
K = 3/2K'T
Where,
K is the average kinetic energy,
K' is the Boltzmann constant,
T is the temperature.
So, putting values, to find the average kinetic energy of CH₄ molecule, first for 272K
K = 3/2 x 1.38 x 10⁻²³ x 273
K = 565 x 10⁻²¹ J
Now, for 585 K,
K = 3/2 x 1.38 x 10⁻²³ x 585
K = 1.21 x 10⁻²⁰ J.
So, these are average kinetic energies of the CH₄ molecule at 273K and 585K.
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what is the typical hydrogen content (by mass) of stars that are forming right now in the vicinity of the sun? (a) 100% hydrogen (b) 75% hydrogen (c) 50% hydrogen
The typical hydrogen content (by mass) of stars that are forming right now in the vicinity of the sun is 75% hydrogen.
What is hydrogen?
The chemical element hydrogen is represented by the letter H as well as atomic number 1. The lightest element is hydrogen. Under normal circumstances, hydrogen is a gas made up of diatomic molecules with the formula H2. It is non-toxic, tasteless, colourless, odourless, and highly combustible. In the universe, hydrogen is by far the most prevalent chemical, making up about 75% of all ordinary matter. Plasma hydrogen makes up the majority of stars like the Sun. On Earth, hydrogen mostly takes the form of molecules like water and biological compounds. Each atom of hydrogen's most prevalent isotope, 1H, contains a single proton, one electron, and also no neutrons.
This is because the interstellar medium contains mostly hydrogen, which is the most abundant element in the universe. When these clouds of gas and dust collapse, they become denser and hotter, and the hydrogen atoms begin to fuse together, creating helium and other elements in the process. The resulting star is composed mostly of hydrogen, with the remaining 25% being composed of helium and other elements.
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