The force of gravitational attraction is 489.18N
Gravitation is a study of how two masses interact, one of which is heavier and the other lighter, and force is the force that attracts all bodies towards itself in this universe. Gravitational force is a central force that is exerted along the line joining the q of two masses, and the direction of that force depends only on their position with respect to the source mass.Gravitational force: The force of attraction between any two bodies is directly proportional to the product of their masses and is inversely proportional to the square of the distance between them.[tex]F = \frac{Gm_{1} m_{2} }{r^{2} }[/tex]
Where,
F is the gravitational force between two bodies
m1 is the mass of the first body = 50 Kg
m2 is the mass of the second body = [tex]5.97 * 10^{24} Kg[/tex]
r is the distance between the centres of two bodies = [tex]6.38 * 10^{6} m[/tex]
G = gravitational constant = [tex]6.67 * 10^{-11}[/tex]
Putting these values in above equation we get: F = 489.18N
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Which of the following statements is probably true about the very first stars in the universe?
a. They were made only from hydrogen and helium.
b. H2
c. True
d. More massive than a hundred times the Sun
The correct statement about the very first stars in the universe is that they were made only from hydrogen and helium.
What is universe?
The universe is the totality of existence, encompassing all matter, energy, space, and time, and the physical laws and constants that govern them. It is the sum total of all that exists, was, and will be, including all galaxies, planets, stars, and phenomena such as light, gravity, and electromagnetic radiation. The universe is believed to have originated with a massive explosion known as the Big Bang, estimated to have occurred around 13.8 billion years ago. Since then, the universe has been expanding outward, ever increasing in size, complexity, and energy density. Scientists believe that the universe is composed of a vast array of components, including dark matter, dark energy, and dark radiation.
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What is the formula to calculate torque?
Torque = force x distance from point of rotation
Torque is a measure of the turning effect of an applied force about a specific point or axis. It is calculated by multiplying the force applied to an object by the distance from the point of rotation to the point where the force is applied. The greater the force or the longer the distance from the point of rotation, the greater the torque. The unit of torque is typically Newton-meters (N·m) in the International System of Units (SI) or pound-feet (lb·ft) in the imperial system. Torque is essential in various fields such as physics, mechanics, engineering and robotics.
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Rob is studying for an exam. He listed some properties of magnets in a Maglev train.
A 2-column table with 2 rows. The first column labeled Magnet has entries Guidance, Guideway. The second column labeled Properties has entries the current in an electromagnet changes rapidly, which pushes the train forward, a pole faces the like pole of the support magnet and repels the support magnet, which increases friction.
Which best explains Rob’s error?
The current in the electromagnet of the guidance magnet does not change.
The types of magnets are listed incorrectly in the table and should be switched.
The unlike poles of the guideway and support magnets face each other.
The repelling of the support magnet decreases friction.
In the table's Properties column, notably in the entry for the Guidance magnet, Rob made a mistake.
Which best demonstrates Rob's inaccuracy that causes the friction?It is untrue to say that a quickly changing electromagnet's current propels a train forward. To create a levitation force that lifts the train off the tracks and enables it to float, the guidance magnets in a Maglev train really work by repelling the guiding magnets on the vehicle from the guideway.
In order to maintain the train's levitation and stability, the polarity of its steering magnets must change quickly rather than the current.
Superconducting magnets, which don't suffer any major energy losses when repelling another magnet, are frequently used in Maglev trains. Instead, a repelling force produced by the magnets lifts the train off the rails and enables it to float.
The mistake is that the guidance magnets should push the train ahead and increase friction, not by repelling the magnets on the train from the guideway and creating a levitation force.
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A 1200 kg car rounds a curve of radius 80 meters banked at an angle of 20%. What speed must the car travel to experience no friction between the tires and the road?
Answer:
The speed the car must travel to experience no friction is approximately 16.9 m/s
Explanation:
The car and road data are;
The mass of the car, m = 1,200 kg
The radius of the road, r = 80 meters
Given that the angled at which the road is banked, θ = 20°
The friction between the tires and the road, at the required speed, [tex]\mu_s[/tex] = 0, No friction
We have;
[tex]\dfrac{v^2}{r \cdot g} = \dfrac{\left( sin \, \theta + \mu_s \cdot cos \, \theta \right)}{\left( cos\, \theta + \mu_s \cdot sin\, \theta \right)}[/tex]
Where [tex]\mu_s[/tex] = 0, we get;
[tex]\dfrac{v^2}{r \cdot g} = \dfrac{ sin}{ cos} = tan \, \theta[/tex]
∴ v² = r·g·tan(θ)
Where;
g = The acceleration due to gravity ≈ 9.81 m/s²
v = The speed at which the car travels
∴ v² = 80 m × 9.81 m/s² × tan(20°) = 285.64384 m²/s²
v = √(285.64384 m²/s²) ≈ 16.9 m/s
The speed with which the car must travel to experience no friction, v ≈ 16.9 m/s
You need a capacitance of 50 µF , but you don't happen to have a 50 µF capacitor. You do have a 90 µF capacitor. What additional capacitor do you need to produce a total capacitance of 50 µF?
According to the question, you would need to add a 40 µF capacitor in order to produce a total capacitance of 50 µF.
What is the capacitor?
An electrical component known as a capacitor stores energy in an electric field. It is made up of two metal plates separated by an insulator, such as air, paper, plastic, or ceramic. When a voltage is applied to the plates, a charge is stored in the electric field. This charge can then be released when the voltage is removed. Capacitors are used in a variety of applications, such as providing energy storage in power supplies, filtering signals in electronic circuits, and providing energy to motors in electrical devices. They can also be used to balance out electrical loads in a circuit, and provide a steady current for the circuit. Capacitors can vary in size, shape, and material depending on the application.
In this case, 90 µF + 40 µF = 130 µF, and 130 µF - 90 µF = 40 µF. Therefore, you would need to add a 40 µF capacitor to the 90 µF capacitor to achieve a total capacitance of 50 µF.
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Give an example of a fossil fuel in each of the three phases ( solid,liquid, and gas
Answer:
coal , oil and natural gas
What is the sound intensity level of a sound with an intensity of 4.0×10−6 W/m2 ?
Express your answer in decibels.
Answer: 66.02dB
Explanation: We use the equation β=(10dB)㏒([tex]\frac{I}{I_0}[/tex])
[tex]I_{0}[/tex]= the threshold of hearing which is 1.0×[tex]10^{-12}[/tex]W/[tex]m^{2}[/tex]
Plug in our knowns β=(10dB)㏒([tex]\frac{4.0*10^{-6} }{1.0*10^{-12} }[/tex])=66.02dB
Abbey and Mia are in the basement playing pool. On Abbey's recent shot, the cue ball was moving east at 82 cm/s when it struck the slower 5-ball moving in the same direction at 24 cm/s. The 5-ball immediately speeds up to 52 cm/s. Determine the post-collision speed of the cue ball.
Answer:
v₁ = 54 cm/s
Explanation:
This question can be solved using the law of conservation of momentum:
[tex]m_1u_1+m_2u_2=m_1v_1+m_2v_2[/tex]
where,
m₁ = m₂ = m = mass of both balls
u₁ = pre-collision speed of cue ball = 82 cm/s
u₂ = pre-collision speed of 5-ball = 24 cm/s
v₁ = post-collision speed of cue ball = ?
v₂ = post-collision speed of 5-ball = 52 cm/s
Therefore,
[tex]m(82\ cm/s)+m(24\ cm/s)=m(v_1)+m(52\ cm/s)\\v_1 = 82\ cm/s + 24\ cm/s - 52\ cm/s\\[/tex]
v₁ = 54 cm/s
What is the relationship between changes in air pressure in wind speeds, answers, when a high and low pressure, air mass or close together. It moves slowly from high to low pressure, when I have high and low pressure MS are far apart and is quickly from low to high pressure, when a high and a low pressure area, so far apart, and move slowly from high to low pressure, when a high in a low
Answer:
Explanation:
Gases move from high-pressure areas to low-pressure areas. And the bigger the difference between the pressures, the faster the air will move from the high to the low pressure. That rush of air is the wind we experience.
Answer:
points are needed
Explanation:
steroid Ida was photographed by the Galileo spacecraft in 1993, and the photograph revealed that the asteroid has a moon, which has been named Dactyl. From the dimensions of Ida and its general features, one can estimate the mass of Ida to be 4.5 x 10^16 kg, and the distance between Dactyl and Ida is approximately 90 km. Assuming a circular orbit, what would be the orbital speed of Dactyl
The orbital speed of Dactyl is approximately 0.0173 meters per second.
To calculate the orbital speed of a Dactyl, we can use the formula:
v = √(G * M / r) where:
v is the orbital speed of DactylG is the gravitational constant (6.67 x 10^-11 N*(m^2)/(kg^2))M is the mass of Ida (4.5 x 10^16 kg)r is the distance between Dactyl and Ida (90 km)So, v = √( (6.67 x 10^-11 N*(m^2)/(kg^2)) * (4.5 x 10^16 kg) / (90 x 10^3 m) )
= √ ( 2.98 x 10^-5 m/s^2 )
= 0.0173 m/s
Therefore, the orbital speed of Dactyl is approximately 0.0173 meters per second.
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Matt i a 85kg lifeguard, he lide down a water lide that i inclined at 35 degree to the horizontal into a wimming pool. If the coefficient of kinetic friction of the lide i 0. 9. What i Matt’ rate of acceleration a he goe down the lide
The rate of acceleration at which Matt goes down the slide is equal to 5.32 m/s².
The normal force or [tex]F_{N}[/tex] acts perpendicular to the object.
The angle of inclination = 35°
cosθ = [tex]F_{N}[/tex]/mg
[tex]F_{N}[/tex] = mgcosθ = 85 × 10 × cos 35
= 850 × 0.819 = 696.15 N
To find the force of friction,
μ = 0.050
[tex]F_{f}[/tex] = μ × [tex]F_{N}[/tex]
= 0.050 × 696.15 = 34.80 N
To find the downward component of weight that pulls him down the slide.
sinθ = [tex]F_{d}[/tex]/mg
[tex]F_{d}[/tex] = mgsinθ
= 85 × 10 × sin35
= 850 × 0.5736 = 487.56 N
To find the acceleration,
[tex]F_{net} = F_{d} - F_{f}[/tex]
= 487.56 - 34.80 = 452.76 N
To solve for acceleration,
F = force = 452.76 N
m = mass = 85 kg
Force = mass × acceleration
a = F/m = 452.76/85 = 5.32 m/s²
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Please help
How does sound move from the source to the receiver? (a slinky moving back and forth)
Answer:
through a chain reaction of particle collisions in a medium.
Explanation:
During their discussion, Jolon makes several statements about energy. Which statement is correct? O "Energy in a system changes depending on what kind of energy is in the system." O "Energy in a system always switches between kinetic " and potential forms O "Energy in a system can be increased if work is inserted into the system from outside." O "Energy in a system is always constant."
Answer: yes
Explanation:
not to sure
Of the following objects, on which one would time on its surface run most slowly?
a. An object with the same mass as the Sun but twice as large in radius
b. The Sun
c. An object with the same mass as the Sun but only half as large in radius
The time on the surface of an object would run most slowly on an object with the same mass as the Sun but twice as large in radius.
What is mass?
Mass is a measure of the amount of matter in an object and is typically expressed in kilograms (kg). It is an intrinsic property of matter and is different from weight, which is a measure of the force of gravity acting on an object. Mass is an important factor in determining the physical properties of an object, such as density, momentum, and inertia. Mass is also used to calculate the gravitational force between two objects, as well as the energy required to move it.
This is because the surface gravity of an object is inversely proportional to the square of its radius. Therefore, the object with the same mass as the Sun but twice as large in radius would have a much lower surface gravity, and time would run more slowly on its surface.
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The speed of sound is determined by the temperature and density of the medium through which it travels. Based on the speed data above, which choice below lists the media in order from most to least dense?
A. Wood, water, air
B. Air, water, wood
C. Air, wood, water
D. Wood, air, water
Answer:
A?
Explanation: put them in order
Sorry if its wrong...
Answer:
It's A
Explanation:
It wants it in order from most dense to least. Wood is most dense so it's first, then water, and then air is last.
if energy of 10 watts is transferred into a chamber of helium, how long does it take to vaporize 1 kg of liquid helium
energy takes 25 atmospheres of pressure to evaporate 1 kilogrammes liquid helium, and that pressure must be applied at or below the freezing point of helium, which is 458 °F.
How is helium in liquid form transported?From manufacturing sources to stockpiling and transfill facilities, liquid helium is normally delivered. Tankers with a capacity of 5,000 and 11,000 gallons have an annular space that is vacuum-sealed, nitrogen-shielded, and has multiple layers of insulation.
How is liquid helium produced?You need to chill helium gas to just a few temperatures above absolute zero in order to produce the liquid & superfluid states. By compressing the air and then releasing it through a tiny nozzle, this is accomplished. If you've used any aerosol, you may have noticed that the gas rapidly cools as it expands.
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A very powerful vacuum cleaner has a hose 2.27 cm in diameter. With no nozzle on the hose (no change to hose area), what is the weight of the heaviest brick it can lift
A very powerful vacuum cleaner has a hose 2.27 cm in diameter. The atmospheric pressure is 1.00 atm=101,300 Pa. then vacuume cleaner generate the force F = 65.1 N
What does diameter mean?A line that is straight and cuts through the middle of a body or figure. Particularly: the length of a diameter; a line segment passing through the center of a circle with its ends on the circumference.
Calculation -:Given,
diameter of the nose is d= 2.86 cm
radius of the nose r= 1.43 cm = 1.43× [tex]10^{-2}[/tex] m
We know F=P.A
where P is the atmospheric pressure and A is the surface area of the circulsr nose F is the force exerted by vacuume cleaner on the air
∴ F=P ( [tex]\pi r^{2}[/tex])
we know atmospheric pressure, p=1.013×[tex]10^{5}[/tex] pa
F = 1.013 × [tex]10^{5}[/tex] × 3.14 (1.43 × [tex]10^{-2}[/tex]) ^2
⇒ 65.1 N
⇒ F = 65.1 N
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What is the function of the countercurrent system of flow?
In the renal medulla, a countercurrent mechanism keeps things in balance. The solution flows concurrently in the same direction. The solution flows in the opposite direction of the countercurrent flow.
Cross-current flow here, the liquids move in the opposing directions through the two tubes. One end of a tube in a single tube starts to flow a solution with a concentration of 0%, while the other end in the same tube starts to flow a solution with a concentration of 100%.
The kidneys have two countercurrent processes. They are the vasa recta and the Henle loop. The nephron's Henle's loop is a U-shaped structure. The two limbs of the vessel's two blood streams move in the opposing directions, creating countercurrents.
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What kind of force do you exert on an object when you pull it towards you?
A. applied force
B. attractive force
C. drag force
D. normal force
By definition we have to:
Applied force: It is the external force that acts directly on a body.
Therefore, we can say that if you have an object and push it towards yourself, you are exerting an external force on the object.
This external force was not acting on the object previously, therefore, it is a force that you are applying at that moment.
Answer:
you exert an Applied Force on an object when you pull it towards you
A. Applied Force
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Explanation:
anyone use zoom
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pass:- HELLO
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Does changing amplitude, wavelength or frequency play a role in how bluetooth acts?
Answer:
Yes
Explanation:
Yes, bluetooth devices work in a frequency range between 2.4 - 2.485GHz. Outside this frequency the devices will not communicate with each other correctly. This frequency equals a wavelength of around 1cm. Therefore, any change in the amplitude or wavelength would need to be in relation to each other in order to maintain the frequency in the required range for the bluetooth device to work accordingly. If one increases while the other remains the same it can easily change the frequency to outside the range.
How can you use the voltage across a resistor and the current through the resistor or find its resistance? What are the units for the resistance
Answer:
R = V / i, units is Ω
Explanation:
The Ohm law establishes the relationship between voltage and current
V = i R
R = V / i
hence the relationship between voltage and current of the magnitude of the resistance.
The units are
R = [V / A] = [Ω]
2 Jupiter orbits the sun in a nearly circular path with radius 7.8x10^11m. The orbital period of Jupiter is 12 years.
The mass of Jupiter is 2.0 x 10^27 kg. predict the mass of the Sun.
Mass of Jupiter=1.9×10
27
㎏=M
1
Mass of Sun=1.99×10
30
㎏=M
2
Mean distance of Jupiter from Sun=7.8×10
11
m=r
G=6.67×10
−11
N㎡㎏
−2
Gravitational Force, F=
r
2
GM
1
M
2
F=
(7.8×10
11
)
2
6.67×10
−11
×1.9×10
27
×1.99×10
30
F=4.16×10
23
N
a boy sits at the top of a 3.5 m long playground slide tilted at 37 degrees with a uk=.27 what is the boys acceleration?
Answer:
3.7845976673 m/s²
Explanation:
The boys' acceleration will be 3.785 m/s². It is the rate of change of the velocity on the inclined plane.
What is the friction force?It is a type of opposition force acting on the surface of the body that tries to oppose the motion of the body. Its unit is Newton(N).
Mathematically, it is defined as the product of the coefficient of friction and normal reaction.
On resolving the given force and acceleration in the different components and balancing the equation gets. Components in the x-direction.
From Δ ABC
[tex]\rm sin 37^0 = \frac{F}{mg} \\\\ F= mg sin37^0[/tex]
[tex]\rm cos 37^0 = \frac{F_N}{mg } \\\\\ F_N= mg cos 37^0[/tex]
Components and balancing the equation gets. Components in the x-direction.
[tex]\rm F-F_N = mg sin 37^0 - \mu (mg cos 37^0) = ma \\\\ mg (sin37^0 -\mu cos 37^0 )= ma \\\\ 9.81 (0.386 ) = a \\\\ a= 3.785 \ m/sec^2[/tex]
Hence, the boys' acceleration will be 3.785 m/s².
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Seismic-wave velocity can change (increase or decrease) as the waves pass through different rock types.
Yes, seismic-wave velocity can change as the waves pass through different rock types.
Rocks with high porosity and permeability tend to have lower seismic-wave velocities because the pores contain fluid that can dampen the energy of the seismic waves, while rocks with high compaction and densities tend to have higher seismic-wave velocities. Additionally, changes in temperature and pressure can also affect seismic-wave velocity.
What are seismic sounders?Seismic sounders are seismic instruments that use a wide range of sound frequencies to measure the Earth's subsurface structure, composition, and its response to seismic waves generated from a source.
They are used in the exploration of oil, gas and mineral resources and for investigating earthquake and volcanic processes.
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where does sound travel faster(the desert or the forest)?
Answer:
forest
Explanation:
cause of the echo
Answer:
forest
Explanation:
very spacious enough to make echo
An airplane starts from rest and accelerates at a constant 3.00 m/s2 for 30.0 s before leaving the ground. a. How far did it move
The airplane that starts from rest and accelerates at 1 constant 3 m/s2 for 30 s before leaving the ground moved by the distance of 1350m.
Acceleration is given as 3.00 m/s2
Time is 30 sec.
The formula we can use in this case is:
s = ut + 0.5 at^2
v = at + u
where,
s is distance travelled
u is initial velocity = 0 since at rest
t is time travelled
a is acceleration
v is the final velocity when it took off
a. s = 0 + 0.5 * 3 * 30^2
s = 1350 m
The distance moved by the airplane is 1350 m.
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There is no limit to the mass with which a star can be born.
True
false
The statement is False, there is no limit to the mass with which a star can be born.
A star is a celestial body comprised of a mass of gas, primarily hydrogen and helium, that gives off heat and light through nuclear fusion reactions in its core. Stars are the most widely recognized astronomical objects and serve as a fundamental reference point in astronomy. Stars come in a variety of sizes and colors and are classified based on their temperature, size, and luminosity.
There are many different types of stars, including main-sequence stars, red giants, white dwarfs, and neutron stars. Stars are formed when large clouds of gas and dust collapse under the force of gravity, causing the material to heat up and form a protostar. Over time, the protostar becomes hot enough to trigger nuclear fusion reactions, and it is at this point that the star becomes visible to observers on Earth. Stars eventually die out, either exploding as supernovae or fading away as white dwarfs. Starlight is the source of illumination for our night sky, and the beauty of stars has captivated humans since the dawn of time.
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A 2,000-kg elevator is being accelerated upward at a rate of 3.0 m/s2. What is the tension in the cable
According to the above statement, 15800 N of tension is required to draw a cable at 3.0 m/s² of acceleration.
What are potential and tension?A force known as tension is connected here to tugging of an item like the a rope, cord, or chain. It resembles elastic potential energy a lot. When a thing is pulled out and brought under tension, as soon as that force is removed, it will naturally recover to its relaxed length.
F = ma
= 2000 kg × 3.0 m/s²
= 6000 N.
The body's weight and the load are added to create the tension force.
Thus T = w + ma
T = 9800 N + 6000 N
= 15800 N.
As a result, 15800 N of tension is required to draw a wire at 3.0 m/s² of acceleration.
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The complete question is-
A 2000 kg elevator is accelerated upward at a rate of 3.0 m/s2. What is the tension in the cable pulling the elevator upward when it experiences this acceleration?
a marble launchers fires a marble into the air so that it reaches a height of 3.25 m determine the initial velocity of the marble
The velocity of the launched marble is 7.98 m/s. Using the formula by equation kinetic energy and potential energy.
What is potential energy?
Potential energy is a form of stored energy that is dependent on the relationship between different system components. When a spring is compressed or stretched, its potential energy increases. If a steel ball is raised above the ground as opposed to falling to the ground, it has more potential energy. It is capable of performing more work when raised.
What is velocity?The directional speed of an item in motion, as measured by a specific unit of time and observed from a certain point of reference, is what is referred to as velocity.
Calculations:
Total kinetic energy will get converted into potential energy
[tex]\frac{1}{2} m V^{2}[/tex] = [tex]m g h[/tex]
M = mass
V = initial velocity
h = maximum height
[tex]V = 2 g h^{0.5}[/tex]
= [tex](2 * 9.8 * 3.25 )^{0.5}[/tex] = 7.98 m/s.
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