The materials arranged in order lowest to highest abundance are as follows
Metals> Rocks> Hydrogen compounds >Hydrogen and Helium
The solar nebula begins as a thin gas of hydrogen and helium that is covered in little dust specks. The planets' building blocks are these little grains. Any gas cloud's development depends significantly on the movement of dust particles. These grains serve as the condensation nuclei on which matter accretes.
The solar nebula is composed of 98% light gases, including hydrogen and helium, which were created during the Big Bang. Next, 1.4% of hydrogen compounds, such as water, methane, and ammonia, were found. Finally, 0.4% of rocks, such as silicates, and 0.2% of metals, such as iron, nickel, and aluminum, were found.Due to the intense heat, only metals and rocks could condense in the nebula's interior, while hydrogen compounds, despite being more prevalent, could only do so in the cooler outer regions.
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force on moving charges: an electron moves with a speed of 8.0 × 106 m/???? along the x-axis. it enters a region where there is a magnetic field of 2.5 T, directed at an angle of 60° to the x ????x???????? and lying in the xy p????????????????. calculate the magnitude of:
The electron is subjected to a magnetic field accelerates at a rate of 3.0 E18 m/s.
What is a good example of the magnetic force?The magnets are attracted to or repelling one another as a result of this force. A compass, a motor, magnetic magnets that hold items in refrigerators, railroad tracks, and modern roller coasters are examples of objects that use magnetic force. A magnetic field is created by all moving charges, and any charges that move across its regions feel a force.
F=qvBsinθ
F=1.6×10−19 C×8.0×106m/s×2.5T×sin60∘
F=2.8×10−12 N
What is an example of a Class 8 magnetic force?A magnet exerts a magnetic pull on particular materials like metal, steel, nickel, and cobalt. This force can work from a distance, making it a sort of non-contact force. It does not needed that the objects be in direct contact. We learnt how to utilize a magnet to draw coins in the example above.
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a spring has a natural length of 12.0 cm. if a 26.0-n force is required to keep it stretched to a length of 26.0 cm, how much work w is required to stretch it from 12.0 cm to 19.0 cm? (round your answer to three decimal places.)
The work required to stretch the spring from 12 cm to 19 cm is 0.91 J
What is work done ?When an object is moved across a specific distance by an external force, work is the quantity of energy that is transmitted to the object.
According to the given information
Natural length = 12 cm
Stretched length = 26 cm
Change in length ( x ) = 26 - 12 = 14 cm = 0.14 m
Force required = 26 N
It is known to us that spring force F = K x
K = [tex]\frac{F}{x}[/tex]
K = [tex]\frac{26}{0.14}[/tex]
K = 185.7 N/m
This is the stiffness of the spring
Now the Force that is required to stretch the spring F = K[tex]x_{1}[/tex]
[tex]x_{1}[/tex] = change in length of the spring = 19 - 12 = 7 cm = 0.07 m
F = 185.7 × 0.07
F = 13 N
Now the work that is done in stretching the spring W = F × [tex]x_{1}[/tex]
W = 13 × 0.07
W = 0.91 J
The work required to stretch the spring from 12 cm to 19 cm is 0.91 J
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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?.
If the sun mysteriously gets twice as massive as it is right now, it's pull on Mars will be twice as much.
What would happen if the sun were twice as massive?The Sun is 93 million miles away from Earth on average, but it is still vital to maintaining life as we know it. We would undoubtedly experience substantial changes in our lives if it were to decrease, grow, or change in any manner.Most people agree that the energy that powers planet Earth comes from the sun, which is at the heart of the solar system. Our climate and weather systems are built on the light and heat that our life-supporting star emits, which also helps to support the development of life on Earth. We are also subject to the gravitational pull of the sun, and how quickly we orbit it determines how long a year is.To learn more about sun, refer to
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A 5. 00-m-long ladder, weighing 200 n, rests against a smooth vertical wall with its base on a horizontal rough floor, a distance of 1. 20 m away from the wall. The center of mass of the ladder is 2. 50 m from its base, and the coefficient of static friction between the ladder and the floor is 0. 200. How far up the ladder, measured along the ladder, can a 600-n person climb before the ladder begins to slip?.
the ladder, measured along the ladder, can a 600-n person climb before the ladder begins to slip is 0.488 m
What is a ladder used for?A ladder is a piece of equipment consisting of repeated bars or steps (rungs) between two upright lengths of metal, wood, or rope, used for climbing up or down something.Choosing the Right Ladder. Ladders are built from one of three basic materials; wood, fiberglass and metal (aluminum).Ladder diagrams are specialized schematics commonly used to document industrial control logic systems. They are called “ladder” diagrams because they resemble a ladder, with two vertical rails (supply power) and as many “rungs” (horizontal lines) as there are control circuits to represent.Maintain a 3-point contact (two hands and a foot, or two feet and a hand) when climbing/ descending a ladder. Stay near the middle of the ladder and face the ladder while climbing up/down. Use a barricade to keep traffic away from the ladder. Keep ladders free of any slippery materials.0.488 m
If θ be the angle ladder makes with the plane
cos θ = 1.2 / 5
Tan θ = 4.04
Let the height a person of weight 600 N can climb be h from the ground .Distance from the base point where ladder touches the floor = h / tanθ
= h / 4.04
Total reaction force = total downward force
R = 200 + 600
800 N
Frictional force = μ R
= .2 x 800
= 160 N
Taking moment of force about the point on the ladder where it touches the floor and balancing them
200 x 1.2 x .5 + 600 x h / tanθ = μ R x 1.2 / tanθ ( reaction at the top point of ladder where it touches the wall is R₁ and
R₁ =μ R )
= 200 x 1.2 x .5 + 600 x h / tanθ = 160 x 1.2 / tanθ
120 - 600 h / 4.04 = 47.52
120 - 47.52 = 600 h / 4.04
72.48= 148.51 h
h = 0.488 m
=
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Nasa’s orion spacecraft, which left earth last week, flew within 81 miles of the surface of which celestial body on monday?.
Nasa’s Orion spacecraft, which left earth last week, flew within 81 miles of the surface of the moon on Monday .
What is the Orion spacecraft?The NASA Artemis program uses the crewed Orion spacecraft, which is largely reusable. The spacecraft is made up of an Airbus Defence and Space European Service Module and a Lockheed Martin Crew Module space capsule.This picture, obtained by a camera on the tip of one of Orion's solar arrays on the sixth day of the Artemis I mission, shows a significant chunk of the far side of the moon just beyond the Orion spacecraft.On Nov. 20, 2022, the spacecraft entered the lunar sphere of influence, making the moon the major gravitational force pulling on it rather than Earth. Its closest approach, which occurred on November 21, was at a distance of 80 miles from the lunar surface.Orion takes pictures of Earth and the moon at various phases and distances using its optical navigation camera.To learn more about Orion spacecraft, refer:
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A 100-g firecracker is launched vertically into the air and explodes into two pieces at the peak of its trajectory. If a 72-g piece is projected horizontally to the left at 20 m/s, what is the speed and direction of the other piece?.
The second particle would therefore move at a speed of (-51.5) m/s.
What is Velocity ?Velocity is the directionally speed of an object in motion, as measured by a certain unit of time and seen from a particular point of reference.
According to the given information
Mass (m) = 100 gm
20 m/s is the speed.
Vertical velocity is zero at its maximum.
The system's horizontal momentum is conserved because there is no horizontal force acting on it.
[tex]m_{2}[/tex] = 100-72= 28g
[tex]m_{1}v_{1} + m_{2}v_{2}[/tex] = 0
[tex]v_{2} = -\frac{m_{1}v_{1} }{m_{2} }[/tex]
[tex]v_{2}[/tex] = (72×20)/(28)
[tex]v_{2}[/tex] = -51.5 m/s
The second particle would therefore move at a speed of (-51.5) m/s.
Negative signs point in the direction of rightward motion.
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When a metal car is struck by lightning, the resulting electric field inside the car is?.
When a metal car is struck by lightning, the resulting electric field inside the car is zero.
What is Electric field ?The electric force per unit charge is referred to as the electric field. It is assumed that the field's direction corresponds to the force it would apply to a positive test charge.
The roof and walls of the car provide a path of less resistance than the interior of the car, which is why a person inside a car does not get struck by lightning.
When lightning is present, it is safer to sit under a car than to stand under a tree. Inside the car, there is no electric field.
The metal cage that encloses the occupants of cars protects them from lightning.
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A metal cools from an initial temperature of 225 oc to 25 oc and releases 160 j of heat energy. If the mass of the metal is 5. 0 g, what is its specific heat capacity?.
If a metal cools while releasing 160 j of heat energy, its specific heat capacity is 1.4222 J/kg. In the event that the metal weighs 5.0 g
Why is specific heat important? What does it mean?A amount of heat unit unit of mass needed to raise temperature temperature by one degree Celsius is known as the thermal inertia or specific heat. The ability to distinguish between various polymeric composites using specific heat can be useful in calculating the processing temperatures the volume of heat required
T₁ = 225°C
T₂ = 25°C
q = -160 J
m = 5.0 g
As we know,
q = mcΔT
Now,
-160 = 5*c*(T₂-T₁)
-160 = 5*c*(25-225)
c = -160/5(-200)
c = 0.16 J/g°c.
What distinguishes heat capacity from specific heat?Summary. The heat capacity of a thing is indeed the amount of energy needed to raise its temperature by one degree Celsius. The amount of energy required to raise the temperature od 1 gram of a substance by 1oC is known as its specific heat.
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the flux through a loop of wire changes at a uniform rate from 4.0x10-5 wb to 5x10-5 wb in 0.10 s. determine the emf induced in the coil
The emf induced in the coil is 4.0x10-4 V.
What is the emf induced in the coil?The induced emf in a coil is determined by multiplying the coil's number of turns by the opposite of the magnetic flux's rate of change. It involves the interaction of a magnetic field and a charge.The induced emf is equal to (BA cos) = − d/dt. The magnetic field's strength might fluctuate over time. The region that the loop encloses is subject to vary throughout time.A motional emf is an emf that is caused by movement in relation to a magnetic field. The length of the object moving at speed v in relation to the magnetic field's strength B is represented by the equation emf = LvB.Given data :
The induced emf is ε = - d/dt (BA cos θ).
d = 4.0x10-5Δd = 5x10-5t = 0.10 sApply the formula ,
induced emf is ε = - d/dt (BA cos θ).
= - 4.0x10-5 / 5x10-5 x 0.10 = 4.0x10-4 V.
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from peak to trough a wave on the ocean measures 15\;\mathrm{m}15m in height and has a wavelength of 12\;\mathrm{m}12m. what is the amplitude of the wave?
The size of a wave is equivalent to half its top to valley distance, which is the solution to the question.
How can one measure wavelength? What is a wave length?A wave sensor's length, which corresponds to the distance between two identical locations (next crests) in successive cycles, determines whether it is sent through space or via a wire. In wireless systems, this length is often specified in meters (m), centimeters (cm), or millimeter (mm) (mm). The duration can be calculated as the distance between two contiguous wave front peaks or waves propagating compressions. It is often represented in meters. Such waves have a relationship between their energy and wavelength. Waves with a shorter wavelength have had more energy than waves with a longer wavelength of the same intensity.
Briefing:A = 1/2* distance
A = 1/2* 5.8
A = 2.9m
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The complete question is-
From Peak To Trough A Wave On The Ocean Measures 5.8 M And Has A Wavelength Of 22.5 M. What Is The Amplitude Of The Wave?
Show that the Poisson bracket of two constants of the motion is itself a constant of the motion, even when the constants depend upon time explicitly.
Poisson brackets are powerful and sophisticated tool in the Hamilton formalism of classical mechanism.
The nonverbal code that most explicitly deals with movements and motion-based behaviors is known as kinesics.
Kinesics in Poisson bracket describes the way our hands, arms, faces, and bodies move to express meaning. It's our body language throughout a discussion or how we appear when we're speaking. This might show that we are interested in the interaction and are confident in it.
Poisson bracket refers to a broad range of visual codes involving the movement of the human body. Among these codes are gestures, posture, eye gaze, and facial expressions. Artifacts represent the various ways that we adorn or manipulate the body to communicate cultural or personal meanings.
Therefore, these Poisson bracket also shows a link between quantum and classical mechanism.
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two objects a and b move toward each other with speeds of 10 m/s and 2 m/s, respectively. the mass of a is 2 kg and that of b is 10 kg. after a head-on, perfectly inelastic collision, the speed of a and b is? g
Answer:
The speed of a and b will be same about 3.333 m/s after collision.
Explanation:
In a perfectly inelastic collision the bodies gets attached to each other after collision .
In this type of collision the final kinetic energy gets lowered than the initial one. Whereas the momentum before and after the collision still remains constant.
Thus we apply the theory of conservation of momentum.
M1V1+ M2V2 = (M1+M2)V
Thus V= 40/12 =3.33 m/s
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(figure 1) shows the cost of locomotion as a function of body mass. using this plot, determine the amount of energy expended by usain bolt during the 100 m sprint.
Assuming Usain Bolt begins at rest (with zero initial velocity) and his motion is uniformly accelerated, his position at time t is given by
where a denotes the average acceleration and t denotes the time. Because the distance covered in our problem is S=100 m and the time taken is t=9.58 s, the average acceleration can be calculated by rearranging the previous formula:
1175.50 kg m/s
Usain Bolt's weight is 93.89 kg.
The average velocity in a 100-meter sprint is 12.52 metres per second.
The momentum can be calculated by taking the product of mass and velocity and multiplying it by
The following factors provide momentum:kg m/s
where denotes mass and denotes velocity
Thus, Usain Bolt's momentum can be calculated by plugging in the given values for
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What is the acceleration of a racehorse that is running 19 m/s and the
track has a radius of 50 m?
The acceleration of a racehorse that is running 19 m/s and the track has a radius of 50 m is 7.22 m/s².
What is centripetal acceleration?Centripetal acceleration, the acceleration of a body in a circular orbit. Since velocity is a vector quantity (that is, it has both magnitude, velocity, and direction), as an object moves along a circular path, its direction and velocity constantly change, resulting in acceleration. The centripetal acceleration ac has a magnitude equal to the square of the body velocity v along the curve divided by the distance r from the center of the circle to the moving body. That is, α = v²/r. Centripetal acceleration has units of meters per second squared. The force that causes this acceleration is also directed toward the center of the circle and is called the centripetal force.
α = v²/r
Where, α = centripetal acceleration
r = radius (50 m)
v = velocity (19 m/s)
α = 19²/50
α = 7.22 m/s²
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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
All of the objects that have been listed in the question have been ranked on the basis of the orbital period around the Sun from shortest to longest in the solar system below.
The items included are all objects that are present in the solar system other than the planets, moons, and stars. These objects, just like every other body, have an orbit in which they revolve and their revolution takes place around the Sun as well.
The order on the basis of their orbital period around the Sun from shortest to longest is as thus -
A typical asteroid in the asteroid belt, a trojan asteroid, a typical Oort cloud object, a typical Kuiper belt object
The orbital period of the items is also as thus -
A typical asteroid - 3 to 6 years
A trojan asteroid - 150 to 200 years
A typical Oort cloud object - 200 years
A typical Kulper Belt object - About 10,500 years
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escribe the following metrology tools: scales, calipers, coordinate measuring machine, and 3-d laser scanner. which is least expensive? which is most accurate?
3D lasers scanner: uses laser projector and cameras to determine part dimensional coordinates to high degree of accuracy, high cost.
Scales: similar to a ruler used for linear measures with "eyeball" accuracy, traditional, affordable, and occasionally insufficiently exact.
Measurements are fairly accurate thanks to the caliper's ability to expand to fit the part being measured.
Coordinate measuring machine: uses probe to touch part and senses x, y, and z coordinate locations that record information into memory (also known as digitizing model), accuracy in the 0.001 mm range, larger volumes greatly increase system cost
No of the size or surface details of the object being scanned, 3D laser scanner uses either phase-based or LIDAR technology to reliably and effectively gather 3-dimensional data. 3D laser scanning generates clear and accurate digital records of present conditions without actually touching what is being measured. The scan generates countless numbers of measurement points known as "coordinates." "Point clouds" are collections of points that together represent raw data. An x, y, and z value is contained in each coordinate in a point cloud. These values are often referred to as northing (y), easting (x), and elevation (z). These points have such fine precision that it is possible to measure exactly from one point to any other point in the point cloud.
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which term best describes the shape of jupiter's orbit around the sun?
Answer:
Explanation:
Kepler's First Law Describes the Shape of an Orbit
The orbit of a planet around the Sun (or of a satellite around a planet) is not a perfect circle. It is an ellipse—a “flattened” circle. The Sun (or the center of the planet) occupies one focus of the ellipse.
a satellite is orbiting a planet a distance r from its center and another satellite is orbiting at a distance 3r from its center. what is the relation between the accelerations due to gravity for each case?
Answer:
The relation between acceleration due to gravity for both cases [tex]g_{1} = 9g_{2}[/tex]
Explanation:
What is acceleration due to gravity ?
Any object's acceleration when it is only being affected by gravity.
According to the given information
Acceleration due to gravity could be found by [tex]\frac{GM}{r^{2} }[/tex]
Distance between satellite orbiting planet from center = r
Acceleration due to gravity for this case [tex]g_{1}[/tex] = [tex]\frac{GM}{r^{2} }[/tex]
Distance between satellite orbiting planet from center = 3r
Acceleration due to gravity for this case [tex]g_{2}[/tex] = [tex]\frac{GM}{(3r)^{2} }[/tex]
relation between the acceleration due gravity in each case
[tex]\frac{g_{1} }{g_{2} } =\frac{(3r)^{2} }{r^{2} } \\[/tex]
[tex]\frac{g_{1} }{g_{2} } =\frac{9r^{2} }{r^{2} } \\[/tex]
[tex]\frac{g_{1} }{g_{2} }[/tex] = 9
[tex]g_{1} = 9g_{2}[/tex]
The relation between acceleration due to gravity for both cases [tex]g_{1} = 9g_{2}[/tex]
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suppose that a planet was reported to be orbiting the sun-like star iota horologii with a period of 300 days. find the radius of the planet's orbit, assuming that iota horologii has four times the mass as the sun.
Radius of the planet's orbit is 2.15 * [tex]10^{-6}[/tex] m
Radius of the orbit can be calculated by applying Kepler's third law, which compares the motion characteristics of different planets, i.e. it compares the orbital period and the radius of the orbit.
Mathematically, [tex]T^{2} = 4\pi ^{2} * r^{3} / GM[/tex]Where
T = Time period = 300Days ( Period)
r = radius
G = Gravitational constant = 6.67 * [tex]10^{-11}[/tex] m³/Kgs
M = Mass of the object, sun in this case = 1.99 * [tex]10^{30}[/tex] kg
Then, rearranging the Kepler's equation,
[tex]R^{3} = GMT^{2} /4\pi ^{2}[/tex]
R³ = 100 * [tex]10^{-19}[/tex]
R = 2.15 * [tex]10^{-6}[/tex] m
The radius of the planet which is reported to orbiting for 300 days is 2.15 * [tex]10^{-6}[/tex] m
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a car traveling at 15 m/s slams on its brakes and the wheels lock. the car comes to rest after skidding 20 m. determine how far the car would skid if the car had been traveling, instead, at 45 m/s.
The distance travelled by the car if had been travelling at a speed of 45 m/s is 180 m.
What is the distance travelled by the car?
The distance travelled by the car is calculated by applying the following kinematic equation as shown below.
v² = u² + 2as
where;
v is the final velocity of the car when it stops = 0u is the initial velocity of the car = 15 m/ss is the distance travelled by the car = 20 ma is the acceleration of the car = ?0 = u² + 2as
-2as = u²
a = -(u²)/2s
a = - (15²) / (2 x 20)
a = -5.625 m/s²
The distance travelled by the car if had been travelling at a speed of 45 m/s is calculated as;
v² = u² + 2as
0 = u² + 2as
s = -(u²)/2a
s = -(45²) / (2 x - 5.625)
s = (45²) / (2 x 5.625)
s = 180 m
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A slinky is stretched by two forces. When the forces are removed, the slinky returns to its original length. The slinky has been __________ deformed.
A slinky is stretched by two forces. When the forces are removed, the slinky returns to its original length. The slinky has been permanently deformed.
What causes permanent deformed?
When a material is subjected to stresses that are greater than its yield strength and cause it to elongate, compress, buckle, bend, or twist, this permanent distortion is known as plastic deformation.
Plastic deformation occurs when a metal is sufficiently stressed to permanently alter its shape. A few atomic bonds are broken during plastic deformation, as was covered in the section on crystal defects, as a result of the movement of dislocations.
When a structural part of a rail vehicle experiences permanent deformation, its shape changes.
Therefore, A slinky is stretched by two forces. When the forces are removed, the slinky returns to its original length. The slinky has been permanently deformed.
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. a 750 kg automobile is moving at 20.0 m/s at a height of 5.0 m above the bottom of a hill when it runs out of gasoline. the car coasts down the hill and then continues coasting up the other side until it comes to rest. ignoring frictional forces and air resistance, what is the value of h, the highest position the car reaches above the bottom of the hill?
The highest position the car reaches above the bottom of the hill is 20.9m.
Solution:
U = mgh
K= 1/2 mv2
Ki+Ui = Uf
750(0.5)(400)+750(9.8)(5)=(750)(9.8)h
200+4.9=9.8h
h = 20.9 m
Frictional force refers to the force created by two surfaces contacting and sliding against each other. Several factors affect frictional forces: These forces are primarily affected by surface textures and the forces that drive them together.
Scientists don't know exactly what causes friction. However, it is thought to be caused by interactions when small bumps on the surface rub against each other. The ridges on each surface flex and exert forces on each other making the surfaces less slippery against each other.
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a resistor and inductor are connected to a 9.0 v battery by a switch as shown. the moment the switch is closed, current flows through the circuit. the resistor has a resistance of r
The resistance of the resistor r so maximum current is 40.9 mA.
A Resistor and inductor are connected to a 9.0 v battery by a switch as shown. the moment the switch is closed, current flows through the circuit. the resistor has a resistance of r.
Calculation:-
Maximum current imax = V/R
= 9/220
= 40.9 mA.
Resistors are used for many purposes. a few examples consist of restricting electric powered cutting-edge, voltage division, warmth generation, matching and loading circuits, benefit manage, and setting time constants. they may be commercially available with resistance values over various extra than nine orders of magnitude.
A circuit is a entire circular direction that energy flows via. A easy circuit includes a modern supply, conductors and a load. The time period circuit may be utilized in a preferred sense to consult any fixed route that energy, records or a sign can travel via.
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a rope of mass m and length ` hangs from the ceiling. (i) what is the wave speed on the rope a distance y above the lower end?
A rope with the mass m and length L hangs from a ceiling. Show that the rope's wave speed at a distance of y above the lower end is v = gy.
What is the name for a wave's speed?
Wave speed is a feature of waves that can be used to describe the absolute value of phase velocity or the speed at which a wave phase moves at a specific frequency. group velocity, which differs from the phase velocity for dispersive waves, is the rate of propagation for the envelope of wave groups and frequently of wave energy.
What is a straightforward definition of wave velocity?
The distance a wave travels in a unit of time is measured by its wave velocity. It is the rate at which a particle is disturbed by something like a peak
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what is the capacitive reactance ????c of a 60.0 μf capacitor placed in an ac circuit driven at a frequency of ????
Capacitive reactance is measured in Ohms, just like resistance. 1,000,000 divided by 6.28 times 60 hertz times 106.1 microfarads, or 25 ohms, is the capacitive reactance.
The amount of charging a capacitor can accomplish depends on its capacitance. Capacitive reactance is a measurement of the capacitor's resistance to alternating current. The following formula can be used to determine a capacitor's capacitive reactance or impedance: The constant one million (or 106) divided by the product of 2p (or 6.28) times frequency times capacitance is known as capacitive reactance, abbreviated as x sub c (XC). where XC is the capacitance, expressed in ohms.
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A satellite used in a cellular telephone network has a mass of 2050 kg and is in a circular orbit at a height of 880 km above the surface of the earth.
Part A
What is the gravitational force Fgrav on the satellite?
Take the gravitational constant to be G = 6.67×10−11 N⋅m2/kg2 , the mass of the earth to be me = 5.97×1024 kg , and the radius of the Earth to be re = 6.38×106 m .
Express your answer in newtons.
The Gravitational Force, Fgrav on the satellite is 1.548 x 10⁴ N.
Newton's Gravitational Law - The force between two objects is directly proportional to the product of their masses and the force between two objects is inversely proportional to the square of the distance between them.
We use the Newton's Gravitational Law formula to find the Gravitational Force on the satellite :
F = G (m₁ m₂)/r²
where,
F = Gravitational Force
G = Universal Gravitational Constant = 6.67 x 10⁻¹¹ N.m²/kg²
m₁ = mass of earth = 5.97 x 10²⁴ kg
m₂ = mass of satellite = 2050 kg
radius of earth = 6.38 x 106 m
r = distance between the centre of earth and the centre of satellite
r = distance of satellite from the surface of earth + radius of earth
r = 880000 m + 6380000 m = 7260000 m
Therefore,
(6.67 x 10-11 N.m²/kg²).(5.97 x 10²⁴ kg).(2050 kg)
F = --------------------------------------------------------------------------
(7260000 m)²
F = 1.548 x 10⁴ N
The Gravitational Force, Fgrav on the satellite is 1.548 x 10⁴ N.
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A stationary boat bobs up and down with a period of 2.1 s when it encounters the waves from a moving boat.
What is the frequency of the waves? If the crests of the waves are 8.8 m apart, what is their speed?
The frequency of the waves is 0.48Hz and their speed is 4.2m/s.
Define frequency.
The number of waves passing a fixed place in a unit of time is known as frequency.
Given ,
Time ,t is 2.1s
Frequency, F =1/t
F =1/2.1
F =0.48Hz
A periodic wave's wavelength, or the distance over which the wave's shape repeats, is its spatial period. It is the separation between neighboring wave points that correspond to the same phase, such as two adjacent crests, troughs, or zero crossings. It is a property of both traveling waves and standing waves as well as other spatial wave patterns. The spatial frequency is the wavelength's reciprocal. The Greek letter lambda ( λ) is frequently used to denote wavelength.
Speed ,v = λ / T.
v = 8.8/2.1
v =4.2m/s
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two balls having different speeds roll off the edge of a horizontal table at the same time. which hits the floor sooner, the faster ball or the slower one?
Two balls having different speeds roll off the edge of a horizontal table at the same time, both will hit the floor at the same time.
What is velocity?Velocity is defined in physics as a vector measurement of direction and velocity of motion. More specifically, the velocity of an object can also be defined as the rate of change of the object's position with respect to the reference frame and time. Simply put, the term velocity describes how fast an object moves in a particular direction. Indicates whether something is moving slowly or quickly. Let's look at an example where two objects are moving. If two objects are moving in the same direction, it's easy to tell which is moving faster. However, it is very difficult to determine which object is faster when both are moving in opposite directions. Considering such difficulties and ways to overcome them, our scientists developed the concept of velocity to make it easier for observers to identify faster or slower objects.
Both balls will hit the ground simultaneously. This is because both balls were moving parallel to the ground when they left the table (remember the table is horizontal). Both balls have 0 velocity in the direction of interest, both accelerate at the same velocity and land at the same time.
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in situ quantification of the active sites turnover frequency and stability of ni-fe oxy hydrooxide for the oxygen evolution reaction
The intrinsic catalytic characteristics of nanoscale electro catalysts requires quantification of the active site count and site-specific turnover frequency (TOF).
How does turnover frequency and stability of ni-fe oxy hydroxide for the oxygen evolution reaction?Understanding the intrinsic catalytic characteristics of nanoscale electro catalysts requires quantification of the active site count and site-specific turnover frequency (TOF).
The understanding of Ni-Fe (oxy)hydroxides' electro catalytic activity and stability is hampered by the lack of efficient methods for measuring the Fe active site number and the intrinsic turnover frequency per active Fe site (TOFFe), despite the fact that Fe has been proposed as one of the most active noble-metal-free electro catalysts for the alkaline oxygen evolution reaction (OER).
The direct in situ quantification of the electrochemically active Fe site number and associated TOFFe values of Ni-Fe (oxy)hydroxides using previously unstudied Fe2+/3+ redox electrochemistry in alkaline solutions is described in this article.
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what is the greatest distance, measured from the pivot, that the center of gravity of an 600 kg piece of heavy machinery can be placed without snapping the rope?
The greatest distance that is measured from the the pivot, that the center of gravity of an 600 kg piece of heavy machinery can be placed without snapping the rope is 1.37 m
How to solve for the greatest distanceWe would have to solve for the tensile strength first.
The tensile strength is given as: T /A
The radius = diameter / 2
= 7 / 2
= 3.5
area = πr²
=We would have to solve for the maximum force from here
6 x 10⁷ x π *(3.5*10⁻³)² = 2309.1
Next we would have to solve for the greatest distance
The net torque is given as 0
Fmax x L = m*g*x
2309.1*3.5 = 600*9.8*x
8081.85 = 5880x
divide through to get the value of x
x = 8081.85 / 5880
= 1.37m
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