Answer:
A. The average kinetic energy decreased.
Explanation:
When an object gains heat, which is a form of energy, the atoms within the object would in turn gain energy in the form of kinetic energy. Similarly, as the temperature of an object decreases, in other words losing heat energy, the atoms within the object would lose kinetic energy as a result.
The Earth has a mass of 6 x 10^24 kg and orbits the Sun in 3.15 x 10^7 seconds at a constant radius of 1.5 x 10^11m. Find the following.
(a) What is the Earth's centripetal acceleration around the Sun?
(b) What is the gravitational force acting between the Sun and Earth?
(c) What is the mass of the Sun?
The Sun's mass is 1.778 x 10 m/s2. v=2rT, where T is the amount of time it takes for the Earth to turn around the Sun.
What is our sun's mass?Mass and volume: 1.989 x 1030 kilograms The sun has a mass of 1.989 x 1030 kilograms, which is about 333,000 times the mass of the Earth. Leading astronomers Jack J. and Imke de Pater found that the sun contains 99.8 percent of the mass of the entire solar system.
Earth's mass, Me, is 6 x 10 kg.
Earth's R Radius and Time of Rotation are 1.5x10m. 3.15 x 107 Sec.
Ac = earth's centripetal acceleration We know that W = 345X107 1.99 X 10 Rad/s Gravitational Force F 6x1024 x 1.99x107x mass of the Sun Me 2
F equals 35 + 82 x 10° N Ani.
F = 6 R2 28 2522 x 10" 6.67 x 10" x 6 x 1024 x Ms (1.5 X 10") 2 Ms 35.82 x 1028 x 1.5X1-5 x 1822 6.67 X 10" x 6 x 10' 24 Ms 50 80.59 x 10° 40.02 X 10/3 37 Ms = 2.01 x 10 kg is known to exist.
The fact that centripetal acceleration F-ma f 22 equates both equations is known by mass of now. ma Scanner a equals 52.
ат 24 6.67 x 10" x 6X 10° 1-5 x 10" 17:78 x 16-9 = 1.778 x 10 m/s2 Ans
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In a transformer, energy is carried from the primary coil to the secondary coil by
A. The magnetic field in the iron core
B. The electrical heating of the primary coil
C. Electricity conducted through the iron core
D. The difference in voltage between the primary and secondary coils.
In a transformer, energy is carried from the primary coil to the secondary coil by The magnetic field in the iron core.
What is transformer?
A Transformer is an electrical device used to increase or decrease the voltage provided to an electrical circuit. It is made up of two or more coils of wire wound around a common core. The coils are typically referred to as the primary and secondary winding. Electricity flowing in the primary winding creates a magnetic field, which in turn induces a voltage in the secondary winding. The ratio of primary to secondary winding determines the output voltage. Transformers are used extensively in the electricity distribution network, enabling the safe and efficient transmission of electricity over long distances.
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A ball is tossed straight up from the surface of a small spherical asteroid with no atmosphere. The ball goes to a height equal to the asteroid's radius and then falls straight down toward the surface of the asteroid. What forces if any act on the ball while it is on the way up?
a. only a decreasing gravitational forces acts downward
b. only an increasing gravitational force that acts downwards.
c. only a constant gravitational force that acts downwards
d. Both a constant gravitational force that acts downwards and a decreasing force that acts upwards.
e. No forces act on the ball
'Only a decreasing gravitational force that acts downward' act on the ball while it is on the way up.
What is gravitational force?
Gravitational force is the force of attraction between two objects that have mass. It is the force of gravity that causes objects to be pulled towards each other. The strength of the force depends on the mass of the objects and the distance between them.
Since the ball is moving away from the Earth, the gravitational force between the two objects is decreasing. The ball does not experience any upward force and thus the only force acting on it is the decreasing gravitational force that acts downward.
Hence, Option A is correct.
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5. Harrison claims that waves travel faster when the particles within the medium are farther apart. Is Harrison correct?
A. Harrison is incorrect because particles can force each other to vibrate more easily in elastic materials where particles are closer together.
B. Harrison is incorrect because particles can force each other to vibrate more easily in non-elastic materials where particles are farther apart.
C. Harrison is correct because particles can force each other to vibrate more easily in elastic materials where particles are closer together.
D. Harrison is correct because particles can force each other to vibrate more easily in non-elastic materials where particles are farther apart.
Answer:
सं देश भर भर में नौ महिना अघिदेखि महिना अघिदेखि नै जातीय आधारमा प्रान्त पुगें र नेपाली जनताको लागि फरक छ तर त्यो पनि पाँचै वर्षमा धरासायी भयो पाँचै वर्षमा धरासायी भयो भने हेर्न त्यो पनि हो र स्वार्थी हुन्छ भन्थे यो मेरो पहिलो मृत्यु भएको हो। छ। यो म भने त्यो प्रेम कति
Harrison is incorrect because particles can force each other to vibrate more easily in elastic materials where particles are closer together. So, option A.
What is meant by vibration ?Vibration is a periodic back-and-forth motion of the particles in an elastic body or medium.
Here,
Vibrations occurs when practically any physical system is moved out of its equilibrium condition and is left to react to forces that work to bring it back into equilibrium.
A periodic shift in time is referred to as a vibration. A wave is a regular oscillation in both space and time. The waves propagate from one point to another in a medium.
Most waves travel through different media, and this affects how fast they move.
In general, waves go through solids the quickest and gases the slowest. The reason for this is that while particles in a gas are farthest to one another, those in a solid are closer to one another.
Hence,
Harrison is incorrect because particles can force each other to vibrate more easily in elastic materials where particles are closer together. So, option A.
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According to legend, the evidence that stimulated Newton to propose the law of universal gravitation emerged from a study of ____. a. the motion of the moon and other celestial or heavenly bodies b. the fall of an apple to the Earth c. the gravitational interaction of smaller objects upon the Earth d. ...nonsense! There was no evidence; it was just proposed as a theory.
According to legend, the evidence that stimulated Newton to propose the law of universal gravitation emerged from a study of the motion of the moon and other celestial or heavenly bodies.
Newton made a comparison between the moon's acceleration and that of earthly objects. Newton was able to make a significant discovery regarding the relationship between gravity and distance by assuming that gravitational forces were in charge of each.
He came to the conclusion that the force of gravitational attraction between the Earth and other objects is inversely proportional to the separation between the centres of the two objects as a result of this comparison. But there are other factors than distance that might impact how strong a gravitational force is.
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When a car has a dead battery, it can often be started by connecting the battery from another car across its terminals. The positive terminals are connected together as are the negative terminals. The connection is illustrated in Fig. P1.15. Assume the current i in Fig. P1.15 is measured and found to be 30A. a) Which car has the dead battery? b) If this connection is maintained for 1 min, how much energy is transferred to the dead battery?
Explanation:
convert 1= 30 amp
which Car has the dead
battery ?
CarA
Car B
Ams => The Current i flows into the of the Battery of Qax A.
Posithe terminal
So. By using Passinge sign Convention.
Power P₁ = Vi = 12X 30
PA = 360 Watt (the)
=>Power is Positive So Car Ahabsorbing So now we can say car A has dead battery.
Power,
Connection is maintained for t = 1 min. Energy toonsffered to the dead battery
=> we know w(t) = Work = Emergy t S. Pdt fo W (1 = imin) = 360 dt
t = 60 sec = 1 min.
36. (t), 60
360 X60
|w[t=1mm) = 21.60 *Jure.
Please give an explanation on how to do this
The time that is taken by the cart is given as 34.7 s.
What is the time taken?
Let us have it at the back of our minds that what we are dealing with here is the velocity and that the velocity of the object can be said to be a vector quantity. If it is a vector quantity, we would need to look at the magnitude and the direction of the quantity.
We can now see that the velocity of the object can be defined as the change in the velocity of the object with time. We can now write;
V = Δx/t
V = velocity
Δx = change in the displacement
t = time
Then;
-0.418 = 5.40 - 19.9/t
t = -14.5/-0.418
t = 34.7 s
In the movement of the cart from one point on the plane to the other, the time that has been taken by the cart is about 34.7 s.
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Use the vocabulary in the Word Bank to complete the following explanation.
Answer:
1.Magnetic field
2.Potential energy
3.Magnetic force
4.kinetic energy
The three wave pulses in the figure(Figure 1) travel along the same stretched string.
Rank in order, from largest to smallest, their wave speeds va, vb, and vc.
The wave pulses always travel in the same direction. Each pulse differs significantly in terms of amplitude. Va = vb = vc as a result.
Pulses come in a wide variety of sizes and forms and are just dried seeds from legumes. The four most popular pulses—beans, chickpeas, lentils, and peas—and some of its variants will be described, illustrated, and given common names in this book.
The edible seed of a legume plant is known as a pulse. Peas, lentils, and beans are examples of pulses. As an illustration, a pea pod is a legume, while the pea within is a pulse.
The fastest and slowest waves should be calculated. The three scenarios in the illustration each illustrate a different amplitude of the wave with the same string.
Consequently, va = vb = vc.
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what is the relationship between star temperature and luminosity in the main sequence
The relationship between star temperature and luminosity in the main sequence is known as the main sequence mass-luminosity relationship.
What is luminosity?
Luminosity is the amount of light and other forms of electromagnetic radiation emitted by a star, galaxy, or other celestial object. It is typically measured in units of watts per square meter (W/m2). Luminosity is related to the total energy output of a star or other celestial body and is an important factor in determining its temperature, composition, and other physical properties.
This relationship states that the hotter the star, the more luminous it is. This is because hotter stars are more massive and more luminous than cooler stars. As the star's temperature increases, so does its luminosity.
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Laney and Emma look up and see a rainbow. They know that the colors are arranged in wavelengths from longest to shortest, starting with red, then orange, yellow, green, blue, and then purple. Which color has the lowest frequency?
Answer:
The frequency of Red colour is minimum.
Explanation:
VIBGYOR
violet,Indigo,Blue, Green, yellow, Orange,Red
Violet to Red the wavelength increases and Frequency decreases.
Roughly how high could a 300 K copper ball lift itself if it could transform all its thermal energy into work?
Answer:
1181.63 m
Explanation:
Assume : specific heat for copper = 386 J/kg.k
Determine the height a 300k cu ball can lift itself after transforming all its thermal energy to work
Total thermal energy of ball = 386J/kg.k * 300 k
= 115800 J
when we convert to potential energy ( work ) applying the law of conservation of energy
11580 J = mgh
11580 = 1 * 9.8 * h ( note m = 1 because the cu is just 1 unit )
∴ h ( height attained ) = 11580 / 9.8 = 1181.63 m
In general, how can you calculate the distance of object B from the fulcrum so that it balances object A
The formulas F(A)×R(A) = F(B)×R(B) should be used to determine the distance of item B from the fulcrum such that it balances object A. where F is the object's force and R is the object's distance from the fulcrum.
What does "force" actually mean?The push or pull that causes a massed body to change its speed is the definition of force. An agent with the ability to change a body's rest or moving condition is known as an external force. It has a magnitude as well as direction.
How come forces occur?Forces are created by the interactions between two (or more) objects. There is a similar but opposing force acting on each individual on the other. External forces are what cause the item to move.
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What is a disadvantage of using fuses? A.When a fuse burns out, it cannot be used again b.
A fuse shuts off when the current gets too high c. A fuse contains a thin strip of metal that can melt d. A fuse prevents circuits from overheating
You may think of a sheet of aluminum foil as a 2D object, but it is really a 3D object because it has a non-zero thickness. Consider a sheet of aluminum foil that is 17.4 inches by 14.8 inches and has a mass of 10.8 grams. Of the density of aluminum is 2.7 g/cm3, what is the thickness of the foil in mm
Answer:
Below
Explanation:
17.4 inches = 441.96 mm 14.8 inches = 375.92 mm
volume = 441.96 X 375.92 X T
= 166141.6 T mm^3 <===where T = thickness in mm
Volume X density = mass
166141.6 T mm^3 * 2.7 gm/cm^3 * cm^3 / 1000mm^3 = 10.8 gm
solve for T = .024 mm
Part A Find the magnitude of the minimum lorce F Ihal allows Ihe window washer t0 move upward Express your answer in terms of the mass M and the magnitude of the acceleration due to gravity g
The minimum force that allows the window washer to move upward is Mg. The force is in terms of mass and acceleration due to gravity.
Given:
M = Mass of the window washer
g = Acceleration due to gravity
The forces acting are:
Force due to gravity = M × g
Tension in the rope = Force applied by the washer
The net force is zero. Therefore, the tension is:
T - M × g = 0
T = Mg
Hence, the minimum force that allows the window washer to move upward is Mg. The force is in terms of mass and acceleration due to gravity.
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A unitormly dense, spherical
planet has a mass of 4×1026 kg, as well
as a radius of 53,000 km. It also
happens to also be hollow in the
following way shown. What is the
magnitude of the gravitational field of
the planet at the point P, in N/kg?
Round your answer to two decimal
places.
The magnitude of the gravitational field of the planet depends on its mass and distance from the object being affected by it.
What is Gravitational field?
Gravitational field is a region of space where a mass or object experiences a force of gravity. It is caused by the presence of a massive object, such as a planet or star, which exerts a gravitational pull on other objects within its vicinity. The strength of the gravitational field is determined by the mass of the object and its distance from other objects.
The gravitational field of the planet at Point P can be calculated by using the equation,
g = G*M/r2
where G is the gravitational constant (6.67 x 10-11 Nm2/kg2), M is the mass of the planet (4 x 1026 kg), and r is the distance from the center of the planet to Point P (53,000 km).
Plugging in the values,
g = (6.67 x 10-11 Nm2/kg2) x (4 x 1026 kg) / (53,000 km)2
g = (6.67 x 10-11 Nm2/kg2) x (4 x 1026 kg) / (2.8409 x 1012 m2)
g = (6.67 x 10-11 Nm2/kg2) x (14.1636 x 1015 kg)
g = 9.5 x 10-5 N/kg
Therefore, the magnitude of the gravitational field of the planet at Point P is 9.50 x 10-5 N/kg.
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When two swimmers are under water in a swimming pool, it is possible for
the interface between the water and the air to act as a mirror, allowing the
swimmers to see images of each other if they look up at the underside of
the surface. Explain this phenomenon.
Answer:
If they are looking at a large enoug h angle of incidence against a relatively calm surface, all the light will be internally reflected, allowing the swimmers to see each other.
Explanation:
9 An object of mass 1.2kg is moving with a velocity of 2.0m/s when it is acted on by a force of
4.0 N. The velocity of the object increases to 5.0 m/s.
For what period of time does the force act on the object?
Answer:
0.90 seconds
Explanation:
Given Info:
Object of mass ⇒ 1.2 kg
Velocity of 2.0m/s when it is acted on by a force of 4.0 N
Velocity of the object Increased to 5.0 m/s
Question:
For what period of time does the force act on the object?
Solve:
We first need to know the formula:
F = ma Or F = m(v-u)/t
F = force
m = mass of an object
a = acceleration
v = Final Velocity
u = Initial Velocity
a = Acceleration
t = Time Taken
Knowing that;
Force = 4.0 N
Mass of an object = 1.2 kg
Final velocity = 5.0m/s
Initial velocity = 2.0m/s
Time taken = [t]
Now lets plug it in the formula:
F = m(v-u)/t
4.0 = 1.2(5-2)/t
t = 0.90 seconds.
Hence, period of time at which force is acted on the object is 0.90 sec.
RevyBreeze
On the weather map, what does the symbol shown below represent?
A circle is shown with a slanting line. There are three ticks at the tip.
Cloud cover
Flurries
Snow
Wind speed
Answer:
wind speed i think where i live?
Answer:
Wind speed.
Explanation:
I took the test and I promise this is right.
cinder block is sitting on a platform 20 m high. It weighs 79 N. The block has
energy. Calculate it.
Answer: 1580 J
Explanation:
Energy is in the form of gravitational potential energy. (GPE)
GPE = mgh , where m is the mass of the block, h is the height and g is the gravitational constant of 9.81 ms-2.
Hence,
Total energy = mass x gravitational constant x height
= Weight x height (since W = mg)
= 79 x 20 J
= 1580 J
What is the spring constant of a spring of negligible mass which gained 8 joules of potential energy as a result of being compressed 0.4 meter
Answer:
[tex]100N/m[/tex]
Explanation:
The formula to find the spring constant given the potential energy and sprint displacement is:
[tex]E=\frac{1}{2} kx^{2}[/tex]
where:
[tex]E[/tex] is the energy ( in Joules)
[tex]k[/tex] is the constant ( in Newtons per meter)
[tex]x[/tex] is the extension ( in meters)
thus, by rearranging the formula we can get:
[tex]k=2\frac{E}{x^{2} }[/tex]
[tex]k=2\frac{8}{0.16}[/tex]
[tex]k=2*50=100N/m[/tex]
What happens to a material when energy is transferred to it?
When labor is done, energy is transferred from the agent to the object, resulting in a change in the motion of the object (more specifically, a change in the object's kinetic energy).
Energy cannot be generated or destroyed, but it may be moved from one form to another. Energy may be altered in a variety of ways, such as when potential energy becomes kinetic energy or when one thing moves another.
Thermal energy is related to a system's internal energy because of its temperature. When a substance is heated, its temperature rises because its molecules begin to move faster, gaining thermal energy through heat transfer. Conduction, convection, and radiation are the three methods through which thermal energy is transferred.
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If a container is stressed beyond its limits of recovery and opens up, then it is in this event of the General Hazardous Materials Behavior Model.
A container is said to have breached when it has been overstressed beyond its point of recovery.
The GEBMO model enables a systematic evaluation of the outcomes that are most likely to occur when a hazardous material container is strained. Hazardous material containers typically have the capacity to hold that material under typical shipping, storage, and use circumstances. Thus, API gravity is a measure of the density of a petroleum liquid in relation to water (also known as specific gravity). It is used to compare petroleum liquid densities. For instance, if one petroleum liquid has a higher API gravity than another because it is less dense.Specific gravity (Sp.Gr. or SG) is the weight or density of a liquid or solid relative to water. Floaters and sinkers have specific gravities below that of water and are very immiscible with itTo know more about Hazard here
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1/lambda = R (1/m^2 - 1/n^2) If m =1, in what range are the wavelengths calculated from the generalized formula shown above? and if m =3, in what range are the wavelengths calculated from the generalized formula shown above? microwave (1 to 10^-4m) infrared ( 10^-3 to 7*10^-7m) visible (7*10^-7 to 4*10^-7m) ultraviolet (4*10^-7 to 10^-8m) X rays (10^-8 to 10^-13m)
The range of wavelength when m = 3 is λ = 8.20 x 10-7 m to 18.7 x 10-7 m (this belongs to infrared radiations).
The wavenumber of hydrogen spectral series is 1/λ = R(1/m2 – 1/n2)
Rydberg constant, R = 1.097 x 107 m-1
1. When m = 1 and n = 2, 1/λ = 1.097 x 107 x (1/12 – ½2) = 0.822 x 107
Wavelength, λ = 1.215 x 10-7 m
When m = 1 and n = ∞
, 1/λ = 1.097 x 107 x (1/12 – 0) = 1.097 x 107
Wavelength, λ = 0.911 x 10-7 m
The range of wavelength when m = 1 is λ = 0.911 x 10-7 m to 1.215 x 10-7 m (this belongs to ultra-violet radiations)
2. When m = 3 and n = 4, 1/λ = 1.097 x 107 x (1/32 – 42) = 0.0533 x 107
Wavelength, λ = 18.7 x 10-7 m
When m = 3 and n = ∞
1/λ = 1.097 x 107 x (1/32 – 0) = 0.122 x 107
Wavelength, λ = 8.20 x 10-7 m
The range of wavelength when m = 3 is λ = 8.20 x 10-7 m to 18.7 x 10-7 m (this belongs to infra-red radiations)
In physics, the wavelength is the spatial duration of a periodic wave—the distance over which the wave's shape repeats. it is the gap between consecutive corresponding points of the same section on the wave, including two adjoining crests, troughs, or 0 crossings, and is a feature of each traveling wave and standing wave, as well as other spatial wave patterns. The inverse of the wavelength is known as the spatial frequency. Wavelength is normally exact by means of the Greek letter lambda (λ). The time period wavelength is also now and again implemented to modulated waves, and to the sinusoidal envelopes of modulated waves or waves fashioned with the aid of interference of several sinusoids.
Assuming a sinusoidal wave shifting at a set wave speed, the wavelength is inversely proportional to the frequency of the wave: waves with better frequencies have shorter wavelengths, and decreased frequencies have longer wavelengths.
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An automobile travels on a straight road at 30 km/h How long will it take to travel 40 km
Answer:
the time taken for the automobile to travel the given distance is 80 mins.
Explanation:
Given;
speed of the automobile, v = 30 km/h
distance traveled by the automobile, x = 40 km
The time taken for the automobile to cover the given distance is calculated as;
time = distance / speed
time = 40 / 30
time = 1.3333 hours = 1.3333 hr x 60mins/hr = 80 mins
Therefore, the time taken for the automobile to travel the given distance is 80 mins.
can someone please answer this question in simple terms and not over complicated. i know nothing about the subject.
If you want to make a strong battery, should you pair two metals with high electron affinities, low electron affinities, or a mix? Explain your answer. (4 points)
Answer:
Mix
Explanation:
A battery has two electrodes, at one end it has the anode and the other end has the cathode. Electrons travel through the circuit from the anode (negative) to the cathode (positive), and this is the driving force that provides electricity to flow through circuits.
The anode needs to have a low electron affinity because it needs to readily release electrons, and the cathode needs to have a high electron affinity because it needs to readily accept electrons.
If you have a set of holiday lights that is on a series circuit, predict what would happen if the series circuit were cut off in the middle. Infer how this would differ from what would happen with a parallel circuit.
If the series circuit that powers your holiday lights were to be severed in the middle. The lights would all stop functioning. Only one light would stop working if the lights were linked in parallel circuit.
A series circuit is a straightforward circuit that enables electrons to go between one or more resistors. A resistor is anything that drains energy from a cell (battery). The resistor in a series circuit is typically a lightbulb. A series circuit is one in which the entire current flows through each element. A series circuit is a straightforward circuit that enables electrons to go between one or more resistors.
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You have seen how large Jupiter would be if the Sun were a 1 meter sphere. Using the same scale, how large would the other planets be
After seeing how big Jupiter is if the Sun were just a sphere measuring one meter in diameter. If somehow the solar is 1,391,000,000 meters diameter, so its diameter, if it had been a sphere, would be 7.2 × 10⁻¹⁰.
Describe planet.Celestial bodies that fit the following descriptions are considered planets: It has cleansed the space around and within its orbit because (a) it is orbiting the Sun; (b) it possesses sufficient mass for its soul to outweigh rigid body forces; and (c) it has orbited the Sun.
How far is it?An object's distance is equal to its overall directionless velocity. Depending of where it started or concluded, distance is really the amount of territory that an object has covered.
Mercury: 0.0035 meters
Venus: 0.0087 meters
Earth: 0.0092 meters
Mars: 0.0049 meters
Jupiter: 0.1028 meters
Saturn: 0.086 meters
Uranus: 0.0367 meters
Neptune: 0.0356 meters
Therefore, you have seen how large Jupiter would be if the Sun were a 1 meter sphere, the other planets distance are described above .
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After seeing how big Jupiter is if the Sun were just a sphere measuring one meter in diameter. If somehow the solar is 1,391,000,000 meters diameter, so its diameter, if it had been a sphere, would be 7.2 × 10⁻¹⁰.
Describe planet:Planets are celestial bodies that match the following criteria: Because it is circling the Sun, has enough mass for it's own soul to override rigid body forces, and has orbited the Sun, it has cleaned the space in and around its orbit.
How far is it?The distance between two objects is equal to their combined directionless velocity. Distance is basically the amount of ground that only an object has traveled, depending on where it began and ended.
Mercury: 0.0035 meters
Venus: 0.0087 meters
Earth: 0.0092 meters
Mars: 0.0049 meters
Jupiter: 0.1028 meters
Saturn: 0.086 meters
Uranus: 0.0367 meters
Neptune: 0.0356 meters
Therefore, you have seen how large Jupiter would be if the Sun were a 1 meter sphere, the other planets distance are described above .
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7 Someone is trying to balance a (110cm) plank with certain forces. a) Calculate the moment of the 60N force (about O), then name its type. b) Calculate the moment of the 30N force (about O), then name its type c) Will the plank balance? If not, which way will it tip? d) What extra force would be needed at (B) to balance the plank?
Answer:
(a) 30 Nm. Clockwise moment
(b) 15 Nm Anti clockwise
(c) Not balance, it tip to the clockwise direction
(d) 150 N
Explanation:
Assumimg the diagram attached is required to complete the question,
(a) Moment of 60 N force (about O) is
Moment = Force(F)× perpendicular distance (d)
M₁ = F₁d₁................ Equation 1
From the diagram, F₁ = 60 N, d₁ = 50 cm = 0.5 m
M₁ = 60×0.5
M₁ = 30 Nm. Clockwise moment.
(b) The moment of the 30 N force (about O) is given as
M₂ = F₂d₂
From the diagram, F₂ = 30 N, d₂ = 50 cm = 0.5 m
M₂ = 30×0.5
M₂ = 15 Nm Anti clockwise
(c) The plank will not balance because the sum of clockwise moment is not equal to the sum of anti clock wise moment. It tip to the clockwise direction.
(d) From the diagram,
Applying the principle of moment,
Sum of clockwise moment = sum of anti clockwise moment.
30(0.5)+X(0.1) = 60(0.5)
15+0.1X = 30
0.1X = 30-15
0.1X = 15
X = 15/0.1
X = 150 N.