The centers of two 15.0 kilogram spheres are separated by 3000 millimeters. The magnitude of the gravitational force between the spheres is approximately:

Answers

Answer 1

The gravitational force here between spheres has an estimated magnitude of 1.67 10-9 N.

What is the gravity force?

Any two bodies' gravitational attraction is exactly equal to the sum of their masses and divided by the square of their distance from one another.

Gravity, often known as the gravity force will bring any two bodies together. Although everything in the cosmos is attracted to one another, this attraction is usually too weak to just be felt since the things are so far apart. Gravity's attraction lessens as things are moved farther apart, but its influence sphere is boundless.

F=GMm/r^2

G=6.67 x 10^-11N kg^2/m^2

M=(15kg)

m=15 kg

r=(3.0m)^2

putting values we have

(6.67 x 10^-11N kg^2/m^2)(15kg)(15kg)/(3.0m)^2

1.67 x 10^-9N

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Related Questions

Which of the following is an example of a conductor?
A A rubber doorstop.
B A gold chain.
C A wooden hammer.
ting
D A plastic fork.

Answers

Answer: B. a gold chain

when water change into ice it contracts or expand
plz answer fast..

Answers

Answer:Yes, water indeed expands when it changes form from liquid to solid. And this is because water has a property called “hydrogen bonds”, and these bonds occur between each water molecule. But when water is in a liquid form these hydrogen bonds break more easily and occur less frequently. When the temperature drops the kinetic energy also drops, which in turn makes hydrogen bonds form more frequently. So the water molecules form a lattice, which is less dense than regular liquid water.

Explanation:

yes water does expand when changing from a liquid to a solid (water to ice)

Calcular gráfica y analíticamente la resultante del sistema de fuerzas. ¿Qué condiciones debe reunir una fuerza F4 para que haya equilibrio? Datos: F1 = 20 N; F2 = 15 N y F3 = 7 N.

Answers

Answer:

.....

Explanation:

How does the mass of an object affects its gravitational force?*answer in a full sentence pls * (PLS HELP ME )

Answers

Answer:

Here you go..

hope it helps..!

Explanation:

So since the gravitational force is directly proportional to the mass of both interacting objects, more massive objects will attract each other with a greater gravitational force, so as the mass of either object increases, the force of gravitational attraction between them also increases.

Acar drives 150 km east from city A to B in 45 minutes and then 300 km south from city B to C in 1,5 hours. What is the average velocity vector for the trip?

Answers

The required average velocity vector for the trip is calculated to be 100 i + 200 j and its magnitude is 223.6 km/h.

The displacement due east is taken as 150 i.

The displacement due south is taken as 300 j.

The net displacement is given as, 150 i + 300 j.

Magnitude of net displacement = √(150² + 300²) = √112500 = 335.41 km

We get the average velocity by dividing the displacement vector by total time.

v avg = (150 i + 300 j)/1.5 = 100 i + 200 j

Magnitude of net velocity = √(100² + 200²) = √(10000 + 40000) = 223.6 km/h

Thus, the average velocity vector is 100 i + 200 j.

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When a satellite is a distance R from the center of the Earth, the force of gravity on the satellite is F. What is the gravitational force on the satellite when its distance from the center of the Earth is 3R

Answers

When a satellite is 3R from Earth's center, its gravitational force is equal to F/9.

What do you mean by gravitational force?

Any pair of mass-containing objects will gravitationally pull toward one another. It mentions the gravitational force. The force will always applied along the line joining the two mass in the direction of the second mass, based on the formula F=Gm1m2r2.

Given  that the foece on the satellite due to earth gravity is F

(At a distance R from center of Earth)

Initial separation between the satallite and Earth is R

Final separation between the satallite and Earth is 3R

The force on the satallite due to earth is

F= [tex]\frac{GMm}{r^{2} }[/tex]

Here M is mass of earth and m is mass of satellite

if the distance between satellite and earth changed to 3R

the force on the satellite due to earth is

F'=[tex]\frac{GMm}{3R^{2} }[/tex]

F'=[tex]\frac{GMm}{9R^{2} }[/tex]

F'=F/9

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If a ball takes 12 seconds to hit the ground, how fast was it falling when it hit the ground?

Answers

Answer:

Roughly around 117.6 mph

Explanation

To find out something's speed (or velocity) after a certain amount of time, you just multiply the acceleration of gravity by the amount of time since it was let go of. So you get: velocity = -9.81 m/s^2 * time, or V = gt. The negative sign just means that the object is moving downwards.

the following best describes how an anthropogenic activity can increase ocean acidification?

Answers

Answer:

Emissions from power plants that burn fossil fuels increase atmospheric carbon dioxide, which is absorbed by the ocean.

Explanation:

Fossil fuels are burnt in power plants in order to produce energy. These fossil fuels contain carbon. Combustion of these fossil fuels emits oxides of carbon into the atmosphere. The oxides of carbon are carbon II oxide and carbon dioxide.

Carbon dioxide can be absorbed by the ocean to form carbonic acid according to the reaction equation;

CO2(aq) + H2O(l) ------> H2CO3(aq)

This is an anthropogenic activity which increases ocean acidification.

How much tension must a rope withstand if it is used to accelerate a 1810- kg car horizontally along a frictionless surface at 1.40 m/s2

Answers

The tension is the only force exerted horizontally to the car.And according to Newton's Law, F = ma = 1210kg * 1.20m/s = 1452N.So T =1452N.

How would a surface without friction feel?

It just seems slick, almost like touching ice but without the frigid sensation, according to my firsthand experience of both. Sorry, it's really nothing exceptional. Any surface would be sufficient if it had some lubrication oil on it.

Is there any surface in the world without friction?

In reality, there are no frictionless planes. If they did exist, items on them would almost certainly behave exactly as Galileo predicted if they did. Despite not existing, they are extremely valuable for designing things like engines, motors, roads, and even tow truck beds, to mention a few.

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The fact that quasars can be detected from distances where even the biggest and most luminous galaxies cannot be seen means that Select one: A. they must be in directions where intergalactic absorption by dark matter is minimum, allowing us to see them. B. they must be intrinsically far more luminous than the brightest galaxies. C. they have not been as redshifted by their motion as have galaxies, and hence they can still be seen. D. they must be in directions where gravitational focusing by the masses of nearer galaxies makes them visible from Earth.

Answers

Answer:

B. they must be intrinsically far more luminous than the brightest galaxies.

Explanation:

Quasar is famous for being an intergalactic object which is billions of years away from the earth yet can still be seen, unlike the other star body, unlike giant galaxies.

Hence, the fact that quasars can be detected from distances where even the biggest and most luminous galaxies cannot be seen means that "they must be intrinsically far more luminous than the brightest galaxies."

This condition, including other related evidence gotten in recent years concerning our galaxy, has shown that quasars are probably the central nuclei of very distant, very active galaxies.

If a wave is traveling at 60cm/second and has a wavelength of 15 cm what is the frequency?

Answers

The frequency of the wave is 4 Hz

a block with length 1.5m width 1m height 0.5m and mass 300kg lays on the table.what is the pressure at the bottom surface of the block ?​

Answers

Answer:

your answer will be 320kg that would be the pressure at the bottom surface of the block

what is the weight of a 80kg mass placed on the surface of the earth yake9.8m/s2​

Answers

Answer:

48gk

Explanation:

Calculate the rotational inertia of 27 kg solid cylinder whose diameter is 0. 24 m about an axis of the cylinder if I= mr^2. Where I is the rotational inertia, m is mass and r is the radius

Answers

The value of moment of Inertia of the solid cylinder will be 0.19 kg/m^2

Any item that can be rotated has the property of rotational inertia. It is a scalar value that indicates how challenging it is to alter an object's rotational velocity around a certain rotational axis. The role of mass in linear mechanics is analogous to that of rotational inertia in rotational mechanics.

The formula I = 1/2 [M (R_2^2 + R_1^2)] may be used to calculate the moment of inertia of a hollow cylinder revolving along an axis passing through the centre of the cylinder. The cylinder in this instance will have a mass of M and internal and exterior radii R1 and R2, respectively.

The cylinder's moment of inertia about its axis is (MR^2)/2.

Where, M - mass of object, R = radius of the cylinder.

After putting all the values. we will get,

[tex]=\frac{27 \mathrm{~kg} \cdot(0.24 \mathrm{~m} / 2)^2}{2} \approx 0.19 \mathrm{~kg} \cdot \mathrm{m}^2[/tex]

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mention seven derived quantities and show how their respective units are obtain or form​

Answers

dynamic viscosity pascal second Pa·s
moment of force newton meter N·m
surface tension newton per meter N/m
angular velocity radian per second rad/s
angular acceleration radian per second squared rad/s2
heat flux density, irradiance watt per square meter W/m2
heat capacity, entropy joule per kelvin J/K

When the displacement in SHM is two-thirds the amplitude xm, what fraction of the total energy is kinetic energy

Answers

The displacement in SHM is 2/3 of amplitude and the fraction of total kinetic energy is Ek = 5/9.

Let’s derive the equations needed from the first principle. The displacement for SHM with amplitude A and angular speed is:

s = A sin(ωt) ---- (1)

Differentiate the displacement to get the velocity:

v = s′ = A ωcos(ωt)

So for a mass m, the kinetic energy is:

Ek = 1/2 mv²

Ek =  1/2 m × (Aωcos(ωt) )² ---- (2)

At time t = 0 the displacement s = 0 and so all the energy is kinetic. Therefore the total energy is:

E (total) = 1/2m ×( Aωcos(0) )²

E (total) = 1/2m × (Aω)² ---- (3)

We can rephrase the kinetic energy in terms of the total energy by comparing (2) and (3):

Ek = E (total) cos²(ωt)

Using the identity  cos² (x) + sin² (x) = 1,  we can rewrite this equation as:

Ek = E total (1 − sin²) (ωt)) ---- (4)

Additionally, we are aware that potential energy U = E(total) Ek, so

U = E (total) − E (total) (1 − sin²(ωt) )

U = E (total) sin²(ωt)  ---- (5)

Now in this question, we’re given that  s = 2/3 A, so from our displacement formula  (1)  we have:

s = Asin (ωt) = 2/3 A

This is what we get for the kinetic energy when we insert it into equation (4):

Ek = E (total)(1 − (2/3)²)

Ek = 5/9 (E (total) )

Hence, the displacement in SHM is 2/3 of the amplitude, and the fraction of total kinetic energy is Ek = 5/9.

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Why is 90-degree angle important?

Answers

90-degree angles are used as reference points for measuring other angles and for defining trigonometric functions and vector relationships.

In trigonometry, the sine, cosine, and tangent functions are defined in terms of the ratios of the sides of a right triangle, where one angle is 90 degrees. In addition, in vector calculus, the dot product and cross product of two vectors are often defined in terms of the angle between the vectors, and a 90-degree angle represents a perpendicular or orthogonal relationship between the vectors. The 90-degree angle is also important in mechanics and engineering as it is used to define the concept of torque, which is the rotational equivalent of linear force. Torque is defined as the product of a force and the perpendicular distance from the line of action of the force to the axis of rotation. Furthermore, it is also used to define the concepts of stress, strain and moment of inertia in strength of materials and mechanics.

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The resistor in an RC circuit (a circuit where a resistor and a capacitor are connected in series) has a resistance of 145 ohm.

Answers

A circuit with a series connection between a resistor and a capacitor.

What is meant by capacitor?An electrostatic field of stored energy can be found in passive electronic components called capacitors. A capacitor is made up of two conducting plates that are separated from one another by a substance known as the dielectric.A capacitor is an electrical component with two terminals that has the ability to store energy in the form of an electric charge. Two electrical cables are used, and they are spaced apart. Vacuum or an insulating substance known as a dielectric can fill the gap between the conductors. To keep the voltage at a specific level, capacitors are also employed. The voltage pulsation can be lessened by using them.

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Imagine that an object i falling through a long traight gla tube held vertical; air ha been removed
completely from the tube. The object doe not touch the wall of the tube. Will the object experience any
force of friction

Answers

No, the object will not experience any force of friction because there is no air or other medium in the tube to create friction against the object.

This is because friction is only possible when two objects are in contact with each other, or when an object is in contact with a medium like air or water. Since there is no air or other medium in the tube, there is nothing for the object to interact with. As a result, the object will fall through the tube without any external forces acting on it, such as friction. The motion of the object will be completely determined by the force of gravity and the object's inertia, and no other external forces will be present.

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What causes objects to fall at different rates on earth?

Answers

Answer:

gravity and weight of an item

Explanation:

if you drop a rock it would fall straight to the ground

now if you drop a feather it would fall to the ground but will take a longer amount of time

A dedicated PV system circuit breaker, suitable for backfeed and positioned at the opposite end of the bus from the ______, is a requirement of NEC 705.12(B).

Answers

A dedicated PV system circuit breaker, suitable for backfeed and positioned at the opposite end of the bus from the main circuit breaker, is a requirement of NEC 705.12(B).

What is a circuit's straightforward definition?

A completed circular conduit through which electricity flows is known as a circuit in electronics. A simple circuit includes a current provider, conductors, and a load. The term "circuit" can broadly be used to describe any ongoing path via which electricity, information, or a signal might go.

Why are circuits essential?

A channel for the transfer of electric current is known as an electric circuit. Electric energy is transferred to components that transform it into various types of energy that can perform work, such as supplying power to light, appliances, and other devices, when electrical current flows across a circuit.

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Find the mass in kg, if the energy is 7.81 x10^13

Answers

Answer:

sorry

Explanation:

Justine is ice-skating at the Lloyd Center. What is her final velocity if she accelerates at a rate of 2. 0 m/s for 3. 5 seconds?


2. How long would it take Jesse with an acceleration of -2. 50 m/s2 to bring his bicycle with an initial velocity of 13. 5 m/s to a complete stop?

Answers

When Justine is ice-skating, her final velocity if she accelerates at a rate of 2.0 m/s² for 3. 5 seconds is 7 m/s and it would take Jesse 5.4 seconds to stop the bicycle moving at an initial velocity of 13.5 m/s by accelerating at -2.50 m/s².

To find Justine's final velocity, we can use the equation:

v = u + at

where v is the final velocity, u is the initial velocity (which is assumed to be 0 in this case), a is the acceleration, and t is the time. So

v = 0 + (2.0 m/s²) × (3.5 s) = 7.0 m/s

To find the time it would take for Jesse to bring his bicycle to a stop, we can use the equation:

v = u + at

where v is the final velocity (which is assumed to be 0 m/s in this case as bicycle is brought to a stop), u is the initial velocity, a is the acceleration, and t is the time.

Given that a = -2.5 m/s² (negative sign indicates deceleration) and u = 13.5 m/s.

so t = (v - u) / a = (0 - 13.5 m/s) / -2.5 m/s² = 5.4 seconds

It would take Jesse 5.4 seconds to bring his bicycle to a complete stop.

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A delivery truck with 2.0m -high aluminum sides is driving west at 50km/hr in a region where the earth's magnetic field is B= (5.0 x 10^-5 T, north)
a. What is the potential difference between the top and the bottom of the truck's side panels? E= ____ V

Answers

The possible potential difference between the truck's top and bottom side panels is 1.39 x 10^-4 V.

The potential difference between two points in an electric circuit is given by the product of the magnetic field, the cross-sectional area of the conductor, and the component of velocity perpendicular to the magnetic field.

The potential difference between the top and bottom of the truck's side panels can be calculated using the following formula:

V = Blv

Where:

V = potential difference (V)

B = magnetic field (T)

l = length of conductor (m)

v = velocity of conductor perpendicular to the magnetic field (m/s)

Given that the magnetic field is B = (5.0 x 10^-5 T, north) and the truck is moving west at 50 km/hr = 13.89 m/s, the potential difference between the top and bottom of the truck's side panels can be calculated as:

V = Blv = (5.0 x 10^-5 T) * (2.0 m) * (13.89 m/s) = 1.39 x 10^-4 V

It is important to note that the magnetic field is pointing north and the truck is moving west, so the velocity of the truck is perpendicular to the magnetic field, which means that the potential difference is not zero. Also, it is important to note that the velocity of the truck is given in km/hr and needs to be converted to m/s before using it in the equation.

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Is the torque the product of force and lever arm?

Answers

Lever arm length and force applied perpendicular to a lever arm are multiplied to create torque. A scalar quantity called torque has two possible directions: clockwise and counterclockwise.

What is the force times the lever arm's product?

A force applied perpendicular to a lever arm produces a torque, which is the result. The distance that runs perpendicularly from the pivot point, or the center of rotation, to the location where the force is delivered, is known as the lever arm or moment arm. A pivot point is always used to define a torque.

How do you multiply torque?

Each gearing stage of a torque multiplier amplifies the torque applied to the bolt. For instance, a torque multiplier with a 5:1 ratio will produce an output at the shaft that is five times the torque, but because no energy can be produced, the speed will only be one fifth of the original.

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Two pole-vaulters just clear the bar at the same height. The first lands at a speed of 8.85 m/s, while the second lands at a speed of 9.31 m/s. The first vaulter clears the bar at a speed of 1.17 m/s. Ignore air resistance and friction and determine the speed at which the second vaulter clears the bar.

Answers

Using the strain energy that the pole has stored in it, the running athlete's kinetic energy is transformed into the potential energy needed to jump.

What equation is used to calculate the maximum height of a pole vault?

Males employ the formula: h= 0.60 * [male height] + 12(v2/g), whereas females use h= 0.55 * [female height] + 12(v2/g).

It is merely an instance of energy being exchanged. If an athlete can run at 10 m/s and we calculate g as 10 m/s/s, the height equals 5 m.

Each vaulter has three tries to clear a particular height during a competition. In order to fall readily if touched, a bar is supported by two uprights. Up until a winner is determined through the process of elimination, it is raised gradually.

There has been a failed trial. A competitor's pole breaking while trying to clear the bar is not considered a trial or failure. No one is permitted to touch the vaulting pole.

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If petroleum used by a power generator is 50 percent efficient and the lines that carry the electricity to a light are 25 percent efficient, what is the energy efficiency of converting the oil into the light

Answers

The energy efficiency of converting the oil into the light can be calculated by multiplying the efficiencies of each step in the process.

Calculation-

Efficiency = (0.50) * (0.25) = 0.125 or 12.5%

So the energy efficiency of converting petroleum oil into the light is 12.5%. This means that only 12.5% of the energy in the oil is converted into usable light. The rest is lost as heat or other forms of energy during the process.

How effective is the process of turning oil into light overall?

How effective is the process of turning oil into light overall? Chemical energy equivalent to 6,000 MJ is found in one barrel of crude oil. An oil-burning power plant can produce 2,000 MJ of energy from a single barrel of crude oil.

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The volume of the balloon is
14 000 cm³
The density of the helium in the balloon is 0.180 kg/m³
Calculate the mass of helium in the balloon
1 cm³ = 1 x 10-6 m³

Answers

The balloon's helium has a mass of 2.52 KG.

The definition of density.

The quantity of things—which could include humans, animals, plants, or objects—in a given space is referred to as density. To determine density, divide the number of objects by the area's measurement. The number of people in a country divided by its area in square kilometers or miles is known as its population density.

Simply put, what is density?

The term "density" refers to the ratio between the volume (the amount of space taken up by an object or substance) and the amount of matter contained therein (its mass). The amount of mass per unit of volume is another method to define density.

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How to solve this electrical circuit?

Answers

The resistor that is equivalent to the resistance of the circuit is 1 2/7 Ohms

What is an equivalent resistance of a circuit?

The equivalent resistance of a circuit is the (single) resistance that can replace the combination of resistances in the circuit such that the current flowing in the circuit remains the same.

Please find attached the drawing of the circuit, created with an online circuit building tool.

Whereby the capacitor also acts as a resistor of 6 Ohms, we get;

Resistors R₄, R₅, and R₆ are parallel

The resistor equivalent to the three resistors is found as follows;

Req₁ =  1/(1/R₄ + 1/R₅ + 1/R₆)

Therefore, Req₁ = (1/(1/2 + 1/1 + 1/6)) = 0.6

Req₁ is in series with R₁, therefore;

Req₂ = Req₁ + R₁ = 0.6 + 3 = 3.6

Req₂, (Req₁ + R₁  combined) is parallel to R₂ and R₃, therefore;

Req₃ = 1/(1/Req₂ + 1/R₂ + 1/R₃)

Req₃ = 1/(1/3.6 + 1/3 + 1/6) = 9/7 = 1 2/7

The equivalent resistor of the circuit is 1 2/7 ohms

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find the value of e, the margin of error, for c = 0.99, n = 16 and s = 2.6.

Answers

The margin of error is 3.96.

The value of e, or the margin of error, can be calculated using the formula:

e = z*(s/√n)

where:

z = the critical value from a standard normal distribution table (for c = 0.99, z = 2.576)

s = the sample standard deviation (in this case, s = 2.6)

n = the sample size (in this case, n = 16)

So, to find the margin of error for this scenario, we plug the given values into the formula:

e = 2.576*(2.6/√16) = 2.576*(2.6/4) = 2.576*0.65 = 3.96

Therefore, the margin of error is 3.96.

It's worth noting that this value represents the range within which we expect the true population value to fall with a certain level of confidence

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