An earth satellite moves in a circular orbit at a speed of 4500 m/s its orbital period is 7.665h
What is Newton's gravitational law?Generally, Newton's gravitational law states that the force of attraction between two objects can be formulated as follows:
[tex]F=G \frac{m_1 m_2}{R^2}[/tex]
F = Gravitational Force ( Newton )G = Gravitational Constant ( 6.67 × 10⁻¹¹ Nm² / kg² )m = Object's Mass ( kg )R = Distance Between Objects ( m )Let us now tackle the problem
Given:
speed of satellite = v = 4500 m/s.
mass of earth = M = 6 × 10²⁴ kg
[tex]\begin{aligned}& \Sigma F=m a \\& G \frac{M m}{R^2}=m \frac{v^2}{R} \\& G \frac{M}{R^2}=\frac{v^2}{R} \\& G \frac{M}{R}=v^2 \\& R=G \frac{M}{v^2} \\& 2 \pi R=2 \pi G \frac{M}{v^2} \\& \frac{2 \pi R}{v}=\left(2 \pi G \frac{M}{v^2}\right) \div v \\& T=2 \pi G \frac{M}{v^3}\end{aligned}[/tex]
[tex]& T=2 \pi \times 6.67 \times 10^{-11} \times \frac{6 \times 10^{24}}{5000^3} \\[/tex]
T =27594.3 s
T =7.665h
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Mike jumps 1.00 meters down onto a concrete walkway. His downward motion stops in 0.02 seconds. If he forgets to bend his knees, what force is transmitted to his leg bones?a. 15,500Nb. 7,010Nc. 4,900Nd. 3,500N
The force transmitted to mike's leg is 39200N. So option A is correct.
To calculate the force transmitted to Mike's leg bones, we can use the formula:
force = mass x acceleration
We can calculate the acceleration using the formula:
a = (fv - iv) / t
fv is the final velocity (0 m/s since his downward motion stops)
iv is the initial velocity (we can assume it to be 9.8 m/s, the acceleration due to gravity)
t is the time it takes for his downward motion to stop (0.02 seconds)
So,
a = (0 - 9.8) / 0.02 = - 490 m/s^2
The mass of Mike is not given in the question, so we can assume it to be 80 kg, as a typical human mass.
force = mass x acceleration = 80 x (-490) = - 39200 N
The negative sign indicates that the force is in the opposite direction of the acceleration, but since the question is asking for the force exerted on the bone, the negative sign can be ignored.
So the force transmitted to Mike's leg bones is 39200 N
So, the correct answer is option A. 39200N
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Two charged metal plates in vacuum arc scparated by 15 Cm as showmn in the figure. The electric field between the plates uniform and has an intensity ol 3.' 103 N/C. An electron with charge and mass 9-1 kg is released from point just inside the negative plate JC00 N/C Calculate the time the electron will take to hit the other plate- Note that you cannot neglect gravity! How (ar dawn from point A (directly horizontally across from point P) will the clectron hit?
The time taken by the electron from one plate to reach the other plate is 1.12 x 10⁻¹⁷ s
Two metal plates separated by the distance = 15 cm
= 0.15 m
The electric field between the plates = 3 x 10³ N/C
The mass of the electron = 9.1 x 10⁻³¹ kg
The charge of the electron = 1.6 x 10⁻¹⁹ C
The time taken by the electron to hit the other plate can be found using the formula,
d = 1/2at² + vt
where d is the distance between the plate
a is the acceleration of the electron
t is the time taken by the electron
v is the velocity of the electron.
Let us find the acceleration of the electron
a = E/m
where E is the electric field of the electron
m is the mass of the electron
a = 3 x 10³ / 9.1 x 10⁻³¹
= 3.27 x 10³³m/s²
Let us substitute the known values in the distance equation, we get
d = 1/2at² + vt
0.15 = 1/2 x 3.27 x 10³³ x t² x 0t [ the initial velocity of the electron is zero]
t² = 2 x 0.15 / 3.27 x 10³³
= 0.3 / 3.27 x 10³³
= 0.0917 x 10⁻³³
= √ (0.0917 x 10⁻³³)
= 1.12 x 10⁻¹⁷ s
Therefore, the time taken by the electron is 1.12 x 10⁻¹⁷ s
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A cylinder in a steam engine contains 1.8kg of steam at 50 kPa and a volume of 0.200m^3.Heat is added to the steam, causing it to expand against a frictionless piston, until the temperature reaches 500 degrees celsius
The final volume of the steam is 0.8 m^3, which is an increase of four times the initial volume. This expansion is due to the heat added to the steam, causing the steam molecules to move faster and occupy a larger volume.
How to determine the inal state of the steam?To determine the final state of the steam after it has been heated, we can use the ideal gas law, which states that PV = nRT, where P is the pressure, V is the volume, n is the number of moles, R is the ideal gas constant, and T is the temperature in kelvin.
We can use this equation to solve for the final volume of the steam after it has been heated to 500 degrees celsius. We can assume the steam is an ideal gas.
First, convert the initial temperature of 50 kPa to kelvin:
T1 = 50 + 273.15 = 323.15 K
Next, convert the final temperature of 500 degrees celsius to kelvin:
T2 = 500 + 273.15 = 773.15 K
The ideal gas constant R = 8.314 J/mol.K
We know the mass of steam is 1.8 kg, and we can use the molar mass of water, which is 18 g/mol, to calculate the number of moles of steam n = 1.8 kg / 18 g/mol = 0.1 mol.
Now we can use the ideal gas law to solve for the final volume of the steam, using the information we have:
P1V1 = nRT1
V1 = nRT1/P1 = 0.1 mol * 8.314 J/mol.K * 323.15 K / 50 kPa = 0.200 m^3
P2V2 = nRT2
V2 = nRT2/P2 = 0.1 mol * 8.314 J/mol.K * 773.15 K / 50 kPa = 0.8 m^3
The final volume of the steam is 0.8 m^3, which is an increase of four times the initial volume. This expansion is due to the heat added to the steam, causing the steam molecules to move faster and occupy a larger volume.
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Question 8
A lightbulb has a power of 60 W and is used for 16 hours. A toaster oven has a power of 1500 W and is used for 45 minutes. (Use correct units in all answers)
a. How much energy is used by the lightbulb? (2 points)
b. How much energy is used by the toaster oven? (2 points)
c. The lightbulb has an efficiency of 2.3%. How much light energy does the lightbulb produce in 16 hours? (2 points)
Explanation:
a) power = energy/time
taking time in seconds: 16 x 60 min x 60 sec =57600 s
now:
60 W = E/57600 s
E = 3456000 J or 3456 KJ
b) time: 45 x 60 s = 2700 s
P = E/t
1500 W = E/2700
E = 4050000 J or 4050 KJ
c) efficiency = (output energy/input energy) x 100
2.3% = (X/3456000) x 100
X = (2.3/100) x 3456000
X = 79488 J
a 2kg box slides down a frictionless ramp starting from a height of 3m. the slope of the ramp is 30 degrees. what is the box's momentum when it reaches the bottom of the ramp?
The momentum of the box is 21.2 kg m/s.
What is momentum?Momentum is a concept in physics that describes the tendency of an object to keep moving in the same direction unless acted on by an external force. Momentum is a vector quantity, which means it has both a magnitude (or size) and a direction. It is defined as the product of an object's mass and its velocity. Momentum is related to inertia, which is an object's resistance to change in motion. Momentum can be transferred between objects when they collide or interact in some other way.
Momentum is the product of mass and velocity. In this case, the box has a mass of 2kg and its velocity can be calculated using the equation for a body sliding down an inclined plane:
V = √2gh, where V is the velocity, g is the acceleration due to gravity (9.81 m/s2), h is the height of the ramp (3m).
Using this equation, the velocity of the box at the bottom of the ramp is 10.6 m/s. Therefore, the momentum of the box is 21.2 kg m/s. Momentum can also be calculated using the equation p = mv, where p is momentum, m is mass and v is velocity. Using this equation, the momentum of the box is 21.2 kg m/s.
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say true or false
1. the direction of impulse is the direction of net force and linear momentum
The direction of impulse is the direction of net force and linear momentum is referred to as true statement.
What is Impulse?This is referred to as a certain amount of force you apply for a certain amount of time to cause a change in momentum.
It is also known as the integral of a force, F, over the time interval, t, for which it acts and is a vector quantity and the direction is also equal to the direction of the net force and linear momentum which is therefore the reason why true was chosen as the correct choice.
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If the net force applied by the truck ramp in the previous question is -300,000 N, how far along the ramp will the truck move as it stops?
The distance moved by the truck along the ramp as it stops is 72.9 m.
What is the distance moved by the truck?The distance moved by the truck before coming to stop is determined from the acceleration and initial velocity of the truck.
The acceleration of the truck is calculated by applying Newton's second law of motion as follows.
F = ma
where;
F is the net force applied by the truck rampm is the mass of the trucka is the acceleration of the trucka = F / m
a = ( -300,000 ) / ( 60,000)
a = -5 m/s²
Now, we will apply the third kinematic equation to calculated the distance moved by the truck before coming to a stop;
v² = u² + 2as
where;
v is the final velocity when the truck stopsu is the initial velocity of the trucks is the distance travelledWhen the truck comes to a stop, the final velocity, v will be zero.
0 = u² + 2as
0 = (27²) + (2)(-5)(s)
= (27²) - 10s
10s = 27²
s = ( 27² ) / 10
s = 72.9 m
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which characteristic of motion is a maximum when an object in simple harmonic motion is at its maximum displacement?
When an object in simple harmonic motion is at its maximum displacement, its acceleration is also at a maximum.
The speed is zero when the simple harmonic motion is at its maximum displacement, however, the acceleration is the rate of change of velocity. The velocity reverses the direction at that point therefore its rate of change is maximum at that moment. thus the acceleration is at its maximum at this point.
Acceleration is the term used in mechanics to describe the pace at which the velocity of an object varies over time. Acceleration is a vector quantity (in that they have magnitude and direction). The direction of an object's acceleration is determined by the direction of the net force acting on it.
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what causes certain elements to be pulled into a region of stronger magnetic field? select all that apply
Most electrons in materials like iron, cobalt, and nickel spin in the same direction. Another extremely magnetic material must enter the magnetic field of an existing magnet in order to become magnetized.
The magnetic influence on moving electric charges, electric currents, and magnetic materials is described by a magnetic field, which is a vector field. A force perpendicular to the charge's own velocity and the magnetic field acts on it when the charge is travelling through a magnetic field. The magnetic field of a permanent magnet pulls on ferromagnetic substances like iron and attracts or repels other magnets.
Paramagnets, diamagnetism, and antiferromagnetic are three more magnetic effects, albeit these forces are often so weak that they can only be observed with specialized laboratory equipment. Electric currents, like those utilised in electromagnets, and electric fields that change in time produce magnetic fields that surround magnetised things. Since a magnetic field's direction and strength can change depending on the location, it can be mathematically characterized by a function that assigns a vector to each point in space. This function is known as a vector field.
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what is the ecliptic? what is the ecliptic? the sun's daily path from east to west in our sky the path the sun appears to trace around the celestial sphere each year a half-circle extending from your horizon due north, through your zenith, to your horizon due south the path traced by the moon's shadow on earth during a solar eclipse
The orbital plane of the earth around the Sun is known as the ecliptic or ecliptic plane a path along the ecliptic can see against a background of stars from earth as the Sun moves around the celestial sphere.
Describe the ecliptic.Ecliptic in astronomy is the large circle that represents the Sun's apparent movement through the constellations over the course of a year from another angle it is the representation of Earth's orbit around the Sun on the celestial sphere Along the ecliptic the constellations of the zodiac are organized.
What are the Sun's ecliptic path?The sun's journey is indicated by the ecliptic a fictitious line in the sky Along with the moon planets also follow the ecliptic It designates the plane of the solar system by projecting Earth's orbit onto the cosmic sphere.
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a meter stick is supported at the 50 cm mark. a 0.40 kg mass is hanging at the 20 cm mark and a 0.60 kg hanging at the 80 cm mark. where should a third mass that weighs 0.30 kg be hung to keep the stick balanced?
The new mass must be inserted and hung at a distance of 30 cm, per the calculation.
Is hung or hanged a word?The past tense of the verb hang, which means "to suspend or be suspended," is "to hold." When it implies "to kill someone by tying a rope attached from above and removing the supporting from beneath," the past tense of the verb to hang is "to hang someone."
From the diagram,
W₁(50-30) + W₃(x-50) = W₂(80-50)
were, W₁ = m₁g = 0.4×9.8 = 3.92 N ( Where m₁ = 0.4 kg and g = 9.8
W₂ = m₂g =0.6×9.8 = 5.88 N ( where m₂ = 0.6 kg)
W₃ = m₃g = 0.3×9.8 = 2.94 N ( where m₃ = 0.3 kg)
Therefore,
3.92(30) + 2.94(50-x) = 5.88(30)
117.6 + 147-2.94x = 176.4
2.94x+264.6 = 176.4
-2.94x = 176.4-264.6
2.94x = 88.2
x = -88.2/-2.94
x = 30 cm
Thus the third mass must be hung 30 cm
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what is the sign of the transferred energy from the perspective of the system and the surroundings for (1) a swimmier in a pool with cold water? (2) a heated house? (3) a coffee cup? (4) an ice cold drink in a warm bar? (5) a cold hand shaking a warm hand?
Option (4) is correct, an ice cold drink in a warm bar is the sign of the transferred energy from the perspective of the system and the surroundings.
Describe energy.In order to accomplish work and to produce heat and light, energy must be transported to a body or into a physical system. Energy is indeed the quantitative attribute that does this. Energy can be modified in form but it cannot be created nor destroyed, according to the rule of conservation of energy.
How is energy quantified?The Joule is the standardized (SI) unit of measurement for energy (J). This measurement comes from the idea that energy is the capacity for work. Joules, a unit of measure for work that is obtained by multiplying force by distance
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an inflated baloon has a mass of 10 grams and a charge of 0.002 coulomb. the balloon is placed in a room with a horizontal electric field of magnitude 1 volt/meter. what is the magnitude of the electrical force acting on the the balloon
0.002 electrical force is acting on the balloon.
Given information:
mass of balloon = 10g
charge on balloon = 0.002 coulomb
electric field = 1 volt/meter
To find electrical force acting on balloon
Use formula.
F = q * E
= 0.002 coulomb * 1 volt/meter
= 0.002
The repulsive or seductive commerce between any two charged bodies is called as electric force. analogous to any force, its impact and goods on the given body are described by Newton's laws of motion. The electric force is one of the various forces that act on objects.
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A stone is propelled vertically off the ground. After it is released, which of the following are true? It’s total mechanical energy increases It’s total energy is proportional to its distance off the ground It’s kinetic energy decreases It’s gravitational energy increases
When a stone is propelled vertically off the ground its kinetic energy decreases and gravitational potential energy increases.
When an object is propelled upwards at first it have the highest kinetic energy. The total energy will be equal to kinetic energy and potential energy will be 0. When it reaches midway through the air, the kinetic energy gradually decreases and potential energy increases, because some of the kinetic energy is converted to gravitational potential energy.
When the object reaches the maximum height, the Kinetic energy will become 0, and object stops moving forward. Here all the kinetic energy i converted to gravitational potential energy. Potential energy will be maximum at this point. After this the object begins to fall attaining some kinetic energy.
So when an object is thrown vertically upwards, the kinetic energy decreases and gravitational energy increases. The total energy will remain constant throughout.
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Determine the greatest force P that can be applied to the frame if the largest force resultant acting at A can have a magnitude of 5kN.
To determine the greatest force P that can be applied to the frame, we need to analyze the forces acting on point A. The force P is acting on the frame at an angle of 45 degrees, and we know that the largest force resultant that can act on point A has a magnitude of 5 kN.
We can use vector addition to find the magnitude of the force resultant at point A. We can resolve force P into its x and y components, Px and Py, using trigonometry.
Px = P * cos(45) = P * 1/√2 = P/√2
Py = P * sin(45) = P * 1/√2 = P/√2
The force resultant at point A is the vector sum of Px and Py.
|F_resultant| = √(Px^2 + Py^2) = √((P/√2)^2 + (P/√2)^2) = √(P^2/2 + P^2/2) = √(P^2) = P
Since the force resultant at point A cannot exceed 5 kN, the magnitude of P must also be less than or equal to 5 kN. Therefore, the greatest force P that can be applied to the frame is 5 kN.
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Calculator
What is the force experienced by a person whose momentum changes by 3kgm/s in 2s?
Give your answer to 1 decimal place.
D1:28/3:42 Change in Momentum
Add any workings here
Force =
Feedback?
Check
The force experienced by a person whose momentum changes by 3kgm/s in 2s is 1.5N.
How to calculate force?The force is defined as rate of change in momentum thus,
Force= Change in momentum/ time
Force= 3/2
Force = 1.5N
How force and momentum related?The relationship between force and momentum is given by
F=dp/dt. The second law of motion gives the following equation given by Newton. This law states that the change in momentum of an object due to its mass is given by its acceleration, or force.
Force (F) is equal to change in momentum (ΔP) with respect to change in time (Δt). Also, the change in momentum (ΔP) is equal to the momentum (J). Impulse has the same units as impulse (kg*m/s or N*s).
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I'LL GIVE A BRAINLIST FOR SHOWING WORK
What is the difference in momentum between a 50 kg runner moving at 3 m/s and a 3000 kg truck moving at a speed of 1 m/s?
The momentum of the runner:
momentum = mass x velocity = 50 kg x 3 m/s = 150 kg*m/s
The momentum of the truck:
momentum = mass x velocity = 3000 kg x 1 m/s = 3000 kg*m/s
The difference in momentum between the runner and the truck:
difference in momentum = momentum of truck - momentum of runner = 3000 kgm/s - 150 kgm/s = 2850 kg*m/s
So, the difference in momentum between the 50 kg runner moving at 3 m/s and the 3000 kg truck moving at a speed of 1 m/s is 2850 kg*m/s
Imagine that a white car is moving 5km/he west when a yellow car moving 10 km/hr west collides with it from behind. what happens to each car kinetic energy?
While the yellow car's kinetic energy decreases, the white car's kinetic energy increases. Unless an outside force acts upon a body, Newton's motion law states that it will be at rest or in uniform motion. KE= 1/2mv2 is the formula for kinetic energy.
What does kinetic energy mean in plain English?The energy that an object possesses as a result or motion is referred to as kinetic energy. We can only accelerate an object by exerting force. Applying force requires effort on our part. Upon completion of the task, the object will indeed be moving at a stable, constant pace since energy has been transmitted to it.
What do you mean by kinetic energy?Exactly what is kinetic energy? Kinetic energy is a type of power that a thing or particle has as result of the its movement. By being exposed to something like a net force, an object transfers energy through work, accelerating and gaining kinetic energy in the process.
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Measure the value of the radius of curvature and deduce the value of the focal length.
The radius of curvature is observed to be equal to twice the focal length for spherical mirrors with small apertures. Hence R = 2f.
Does focal length increase with a radius of curvature?As the radius of curvature for a lens grow (R2 > R1), the curvature of the lens decreases, and the focal length of the lens expands (f2 > f1) We can say clearly that the main focus of a spherical mirror lies at the core between the center of curvature and the pole.
the radius of curvature becomes longer the circle gets larger. As the circle gets larger, its curve gets praised, as the curve gets admired on a clear material Focal length of a lens depends on the deform index of the glass from which it is built, and on the curvature of its two surfaces.
So we can conclude that the result of a radius of curvature on the focal length of a convex lens.
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damping is negligible for a 0.150kg object hanging from a light, 6.30n/m spring. a sinusoidal force with an amplitude of 1.70n drives the system. at what frequency will the force make the object vibrate with an amplitude of 0.440m ?\
The frequency of the force at which the object will vibrate with an amplitude of 0.440m is f ≈ 5.2 Hz.
What is frequency?
Frequency is a concept in physics that describes the number of times a repeating event occurs in a given period of time. It is a scalar quantity and is measured in units of hertz (Hz), where 1 Hz is equal to one event per second. The frequency of a wave is the number of oscillations or cycles that occur in a given period of time, and it is the reciprocal of the period (the time it takes for one cycle to occur).
To determine the frequency at which the force will make the object vibrate with an amplitude of 0.440m, we can use the equation for the natural frequency of a damped harmonic oscillator:
f = (1 / (2 * pi)) * sqrt ( k / m)
where f is the frequency of the vibration, k is the spring constant, m is the mass of the object and pi is the mathematical constant pi. Given that the spring constant is 6.30 N/m and the mass of the object is 0.150 kg, we can substitute these values into the equation to find the natural frequency of the system:
f = (1 / (2 * pi)) * sqrt ( 6.30 N/m / 0.150 kg)
f = (1 / (2 * pi)) * sqrt ( 42 N/m/kg)
since damping is negligible, the frequency of the vibration will be the same as the natural frequency of the system.
f = (1 / (2 * pi)) * sqrt ( 42 N/m/kg)
The frequency of the force at which the object will vibrate with an amplitude of 0.440m is f ≈ 5.2 Hz.
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A rock is thrown and it takes 6 seconds to hit the ground how High did it travel
When a rock is thrown and it takes 6 seconds to hit the ground, it travelled 176.4 meters.
What is acceleration of free fall?
Acceleration of free fall is the acceleration at which a body falls when only the gravitational forces of the earth is acting upon it. It is represented by the letter g, and its value on the earth's surface is 9.8 m/s².
Time taken to hit the ground by the rock: Δt = 6 seconds.
Hence, it travelled a height of = 1/2 × gΔt²
= 1/2 × 9.8 × 6² meter
= 176.4 meters.
Hence, , it travelled 176.4 meters.
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a hooke's law spring is mounted horizontally over a frictionless surface. the spring is then compressed a distance d and is used to launch a mass m along the frictionless surface. what compression of the spring would result in the mass attaining double the kinetic energy received in the above situation? a hooke's law spring is mounted horizontally over a frictionless surface. the spring is then compressed a distance d and is used to launch a mass m along the frictionless surface. what compression of the spring would result in the mass attaining double the kinetic energy received in the above situation? 2.00 d 1.73 d 1.41 d 4.00 d
The mass would gain twice the kinetic energy it did in the scenario above if the spring were compressed by 14.1 cm.
Do you mean by kinetic energy?A particle or perhaps an item that is currently motion has a type of energy called kinetic energy. An item acquires kinetic energy when work, which involves the transmission of energy, is performed on it by exerting a net force.
A spring's energy reserve is proportional to the square of the compression, x.
PE of compression = 0.5kx^2 where k is a constant to do with how easy it is to compress the spring.
So 0.5d^2 gives a KE of value Q
If you double Q you get 2Q and get 0.5D^2 where D is the new compression
So 0.5d^2/0.5D^2 = Q/2Q
d^2/D^2 = 1/2 which means that D^2 = 2d^2 or D = d(sqrt2)
Therefore, the new compression is roughly 1.414 times that of the old one.
Easiest method for recalling is that KE is proportional to sqrt(d)
To double KE you need to compress the spring sqrt2 times as much as before.
Hope this helps.
PE of spring = stored energy = (1/2)kx^2 = (1.2)mv^2
So kx^2 = mv^2
x^2 = (m/k)v^2
x is proportional to v
If x is doubled, v is doubled, and the KE is quadrupled.
the distance would then be ? 2*d or 1.41d = 1.41(10) = 14.1 cm
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Which of these is an example of a non-renewable
source?
a) Trees
c) Coal
b) Water
d) Wind​
Coal of these is an example of a non-renewable source.
The correct option is B.
What is renewable and non renewable resources?A resource can be classified as regenerative or nonrenewable based on whether it can replace itself in the rates it is used up or whether it has a finite supply. Forestry, wind, and solar energy are examples of renewable resources, whereas gas and coal are examples of non-renewable resources.
Is water a non-renewable resource?Natural replenishment of non-renewable water resources either takes a very long period or does not occur at all. The 'fossil waters' are included in this. The hydrological cycle makes renewable water resources, which include fresh water like lakes and streams and groundwater aquifers, rechargeable until they are overused.
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The complete question is -
Which of these is an example of a non-renewable source?
a) Trees
b) Coal
c) Water
d) Wind
the approximate distance between the earth and the sun is 1.5 × 1011 meters. a. Calculate the average speed, in kilometers per second, of the Earth in its orbit.b. What is that speed in meters per second?
The speed of the earth around the sun is 29.747 km/sec and in meter per second is 29474 m/sec, if the distance between the earth and the sun is 1.5 × 10¹¹ meters.
The gravitation force between the earth and the sun works as the centrifugal force between the earth and the sun, which is required for the circular motion of the earth.
Let the mass of the earth = M₁
Let the mass of the sun = M₂ = 1.99 × 10³ kg
Let the speed of the earth around the sun = v
Distance between the earth and the sun, R = 1.5 × 10¹¹ m
Universal gravitational constant, G = 6.67 × 10⁻¹¹ Nm²/kg²
Centrifugal force = gravitational force
M₁ v²/R = GM₁M₂/R²
v = √(GM₂/R)
v = √(6.67× 10⁻¹¹ × 1.99 × 10³)/(1.5 × 10¹¹))
v = 29474.04 m/sec
or v = 29.474 km/sec
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The wind on which planet can blow up to 1,500 miles per hour?
The wind on Neptune can blow up to 1,500 miles per hour.
What is Neptune?Neptune is the eighth and most distant planet from the Sun, and it is also the third most massive planet in the solar system. It is impossible to see it without a telescope due to its great distance from Earth. It looks like a tiny, indistinct blue-green disc through a micro telescope. The symbol serves as a designation.
A son of the Titan Cronus (the Roman god Saturn) and a brother of Zeus, Neptune is named after the Roman sea god, Poseidon, who is also known by his Greek name Poseidon (the Roman god Jupiter). Through the use of a telescope, it was the second planet discovered.
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Derive an expression for the torque applied by the adult rider (on the left) in terms of given quantities and variables available in the palette. Assume counterclockwise is positive.
The torque applied by the adult rider can be represented by the following expression: Torque = force x distance from the axis of rotation, in terms of quantities and variables.
In this case, the force applied by the adult rider is the force exerted by the rider on the pedal, and the distance from the axis of rotation is the distance between the pedal and the axis of rotation (the center of the wheel). Let's assume the force exerted by the adult rider on the pedal is represented by the variable F_rider, and the distance between the pedal and the axis of rotation is represented by the variable r. Torque = F_rider x r. It's important to note that the torque is also affected by the angle between the applied force and the radius vector. In this case, we assumed that the rider is applying force in a direction that is perpendicular to the radius vector. Also, the direction of rotation that is positive is assumed to be counter clockwise.
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a car with a wheel of radius 14 inches is moving with a speed of 55 mph. find the angular speed of the wheel in radians per second.
The response to the question is that a car's wheel rotates at a rate of 1.44 radians per second.
What is angular velocity or speed?The angular velocity (w), a vector quantity in a uniform circular motion, is determined by dividing the displacement (), also a vector quantity, by the change in time (t). Speed is equal to |w|R and is computed by dividing the arc length traversed (S) by the time difference (t).
Is angular speed and angular acceleration equivalent?A scalar measurement of the revolving object is its angular speed. A vector representation of the rotor blade is the angular velocity. Only the degree of an angle's speed is specified. The direction and magnitude are both specified by angular velocity.
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suppose you drop an object out of the window of a building and wait for it to hit the ground. how does the halfway point in distance compare to the halfway point in time? please explain.
It travels below half the distance in 1⁄2 the time required to reach the surface while remaining above the window-to-ground halfway point.
What is the straightforward meaning of time?The amount of time that something happens, undergoes a procedure or stays the same: duration.: a non-spatial continuum where events succeed one another in time from the past through the present to the future
How does science define a time?time is a continuum without spatial dimensions that can be measured or quantified. Time is a philosophically intriguing concept that is also the focus of mathematical research.
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When a wet cloth is hung up in a hot wind in the desert, it is
cooled by evaporation to a temperature that may be or so
below that of the air. Discuss this process in light of the second law of thermodynamics
Answer:
The process of a wet cloth being cooled by evaporation when hung in a hot wind in the desert can be explained by the second law of thermodynamics, as the evaporation of water molecules from the cloth increases their entropy and absorbs heat energy from the surrounding air, which causes the temperature of the wet cloth to decrease, and increases the overall entropy of the system.
Explanation:
The process of a wet cloth being cooled by evaporation when hung in a hot wind in the desert can be explained by the second law of thermodynamics. The second law states that entropy, or disorder, in a closed system will always increase over time.
When the wet cloth is hung in the hot wind, water evaporates from the cloth, absorbing heat energy from the surrounding air in the process. This causes the temperature of the wet cloth to decrease. In the process of evaporation, the entropy of the water molecules in the cloth increases, as they gain kinetic energy and escape into the air as water vapor. The entropy of the air molecules surrounding the cloth also increases, as they absorb the heat energy released by the evaporating water and become more disordered.
This process of evaporation, in which the wet cloth loses heat energy and becomes cooler, is an example of a process that increases the overall entropy of the system. This is in accordance with the second law of thermodynamics, which states that entropy in a closed system will always increase over time.
The cooling provided by the evaporation is due to the energy required to change the phase of the water from liquid to gas, this process is known as heat of vaporization, which is endothermic, meaning it absorb heat energy from the surrounding and hence the wet cloth is cooled.
What is the magnitude of the force on a calcium ion with charge +e? Large electric fields in cell membranes cause ions to move through the cell wall. The field strength in a typical membrane is 1.0 x 10^7 N/C.
The magnitude of the force on the calcium ion is 1.0 x 10^7 N/C * e = 1.6 x 10^-19 N.
What is magnitude?Magnitude is a measure of the size or strength of a physical quantity, such as size, brightness, or intensity. Magnitude can be measured in terms of intensity, size, brightness, or a combination of those criteria. For example, the magnitude of an earthquake is usually determined by measuring the intensity of the seismic waves that are generated by the earthquake. Magnitude is also used to measure the brightness of stars, with the brightest stars being given the highest magnitude.
The magnitude of the force on a calcium ion with charge +e is equal to the field strength multiplied by the charge of the ion. Thus, the magnitude of the force on the calcium ion is 1.0 x 10^7 N/C * e = 1.6 x 10^-19 N.
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