Three spheres, with masses indicated above, are
initially far away from each other, and the
gravitational potential energy of the three-sphere
system is zero. The spheres are then brought
together until each sphere is a distance r from
the other two, as shown above. What is the new
gravitational potential energy of the three-sphere
system?

Answers

Answer 1

Answer:

-5Gm^2/r

Explanation:

You don't have the graph, but I know what question you are talking about. The answer is above.

Answer 2

The new gravitational potential energy of the three-sphere system will  be[tex]- \frac{5Gm^2}{r}[/tex].

What is gravitational potential energy ?

The energy that an item has due to its location in a gravitational field is known as gravitational potential energy.

For the sphere 1 we have to perform no work. Hence, the work done is zero.

[tex]\rm W_1 = 0[/tex]

The mass m is to be brought to be infinity. Because there is potential at B due to mass m at A point .

[tex]\rm W_2 = \frac{-Gm}{r} \times m \\\\ W_2 =-\frac{Gm^2}{r}[/tex]

The B2 m at C is brought to infinity. For we have to do work . The  gravitational potential energy for the mass 2 m is;

[tex]\rm W_3 = \frac{-Gm}{r} \times 2m\\\\ W_3 = \frac{-4Gm^2}{y} \\\\[/tex]

The new gravitational potential energy of the three-sphere system will be;

[tex]\rm W =W_1+W_2+W_3 \\\\\rm W =-0-\frac{Gm}{r}-4\frac{-Gm^2}{r^2} \\\\ W=\-\frac{-5Gm^2}{r^2}[/tex]

Hence,  the new gravitational potential energy of the three-sphere system will  be[tex]- \frac{5Gm^2}{r}[/tex].

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Related Questions

100 POINTS!! PLEASE HELP ASAP. WILL MARK BRANLIEST.
3.) You inspect a bottle of sunscreen to see what radiation it claims to block. You are looking for sunscreen that blocks dangerous radiation from the sun but does not make claims about other types of radiation. Which claim on a bottle would best meet these criteria?
a.Blocks all UV and infrared rays
b.Blocks harmful UVA and UVB radiation
c.Blocks the full spectrum of violet and ultraviolet radiation
d.“Blocks harmful UV and gamma rays

4.) Which description fits a type of electromagnetic radiation that could harm living cells?(1 point)

a. electromagnetic waves with very short wavelengths
b. waves with frequencies low enough that they are not visible
c. radio waves
d. blue light

5.) Which statement correctly describes how a tanning bed machine works?(1 point)

a. It gradually increases the ionizing energy of radiation to the maximum.
b. It matches the amount of sunlight that the skin can absorb..
c. It decreases production of the skin’s protective pigment, which causes damage.
d. It delivers an ionizing electromagnetic radiation called ultraviolet light.

7.) Tanning beds expose the body to a certain type of ultraviolet (UV) light. It has been claimed that this helps the body manufacture its needed vitamin D. Which evidence contradicts this claim?(1 point)

a. Both UVA and UVB light are produced by tanning beds.
b. The skin does not have the ability to absorb any type of UV light.
c. The body needs UVA light, and tanning beds deliver UVB light.
d. The body needs UVB light, and tanning beds deliver UVA light.

8.) Studies show that matter absorbs various types of electromagnetic radiation depending on the frequency and amount of energy they carry. Which sequence of types of electromagnetic radiation is arranged from that with the least to the most energetic photons?(1 point)

a. gamma rays, visible light, ultraviolet, X-rays
b. visible light, ultraviolet, X-rays, gamma rayst
c. ultraviolet, X-rays, gamma rays, visible light
d. X-rays, gamma rays, visible light, ultraviolet

Answers

Answer:

the answer is equal to visible light , ultraviolet, x-rays, gamma rayst

The sequence of types of electromagnetic radiation is arranged from that with the least to the most energetic photons will be visible light , ultraviolet, x-rays, gamma rays.

What is electromagnetic radiation?

Electromagnetic radiation is a type of energy that is transmitted in incident photons as both magnetic and electric waves.

Electromagnetic radiation has a spectrum with varying wavelengths and frequencies, which gives it different properties.

Electromagnetic radiation is a type of energy that travels in packets of energy called photons as both electrical and magnetic waves.

Wave-particle duality is the name given to this phenomenon. This is a notion that defines how a wave behaves whether it behaves like particles, waves, or both particles and waves.

Hence the sequence of types of electromagnetic radiation is arranged from that with the least to the most energetic photons will be  visible light , ultraviolet, x-rays, gamma rays.

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Mountain ranges often appear on the edges of continents. What theory does this support?

Mountains were formed when Earth’s crust cooled and Earth shrank.
right answer Mountain ranges were formed when continents collided.
Mountain ranges did not exist millions of years ago.
Mountain ranges were formed only by glaciers.

Answers

Answer:

Option 2

Explanation:

The theory supported by the statement : "Mountain ranges often appear on the edges of continents.", is that :

Mountain ranges were formed when continents collided.

Answer: b. Mountain ranges were formed when continents collided.

Explanation:

electricity is the flow of​

Answers

Answer:

a. electrons

Explanation:

Please mark as brainliest

Do you think that push-ups (pushing your body weight up from the floor) or shoulder press (pushing weights above your head) will do a better job of helping you build muscles? Defend your answer using words and equations.

Answers

Answer:

Push-ups. Let M1 be the mass of the body and M2 be the mass of weights. Assume that M1 must be heavier than M2. Since M1 is heavier, M1 requires more force, and therefore work to be applied, let F1=M1*g. To bring our body back up, we need a force bigger or equal (if already in motion) to F1.

Let F2 = M2*g

Since F1 has to be bigger than F2 due to mass, we can build an equation for energy. Let X be a displacement, which is equal in both situations. Constructing a change of energy equation we can see that work done to lift the body is greater:

W1=F1*x

W2=F2*x

Where W1 is the work of the hands-on body, and W2 is the work of lifting weights. W1 has to be larger than W2. Since more work in W1, more muscle will be needed to complete a repetition, but only assuming that M1 > M2.

Using the equation (N(t) = N0 e^−λt) Calculate the amount left of a radioactive sample amount N0 if the decay constant is 0.00125 seconds and the time is 180 seconds? (Hint: Your answer will not be a number. Instead, it will be a decimal or percent of the variable N0)

Answers

The equation is

[tex]\\ \rm\Rrightarrow N(t)=N_o(e^{-\lambda t})[/tex]

Put values

[tex]\\ \rm\Rrightarrow N(180)[/tex]

[tex]\\ \rm\Rrightarrow N_o(e^{-0.00125(180)}[/tex]

[tex]\\ \rm\Rrightarrow N_o(e^{-0.225})[/tex]

[tex]\\ \rm\Rrightarrow 0.798N_o[/tex]

Or

79.8% of N_o

explain pleease :( itsreally hard

Answers

Answer:

0.5V

Explanation:

The formula for the potential difference is V=W/Q where W is the work and Q is the charge.

10/5 = 0.5

Hope this helped!

A 2400 kg satellite is in a circular orbit around a planet. The satellite travels with a constant speed of 6000 m/s. The radius of the circular orbit is 10 6 m

Answers

The magnitude of the gravitational force exerted on the satellite by the planet  will be F = 11970.1 N

What is gravitational force?

The gravitational force is a force that attracts any two objects with mass.It is directly proportional to the masses and inverse of the distance between the two objects.

It is given that,

Mass of the satellite, m = 2400 kg

Speed of the satellite, v = 6670 m/s

Radius of the circular path,

Let F is the magnitude of the gravitational force exerted on the satellite by the planet. The centripetal force is equal to the gravitational force. It is equal to :

[tex]F=\dfrac{mv^2}{r}[/tex]

[tex]F=\dfrac{2400\times (6670)^2}{8.92\times 10^6}[/tex]

F = 11970.1 N

So, the magnitude of the gravitational force exerted on the satellite by the planet is 11970.1 N. Hence, this is the required solution.

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If we were to illuminate them only with light from the balmer transition considered above, would the solar panels produce a current?

Answers

If we were to illuminate them only with light from the balmer transition considered above, the solar panels would not produce current.

What are solar panels?

Solar panels are used to produce energy according to the principle of the photoelectric effect. When the solar panel is hit with light in the balmer series, the light is reflect hence no current is produced.

Therefore, If we were to illuminate them only with light from the balmer transition considered above, the solar panels would not produce current.

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what is the primary way the metamorphic rock formed

Answers

Hello always here to help!!!!

__________________________

Existing rocks come together under great heat and pressure to generate metamorphic rocks. Marble, schist, slate, and quartzite are examples of metamorphic rocks. Heat and pressure cause chemical changes in minerals, resulting in metamorphic rocks. They are frequently encountered near magma, but unlike igneous rock, they do not melt.

__________________________

Have a great day!!!

A circuit has three resistors (12 omega,25 omega, and 62 omega) connected in series. the potential difference across the 12 - omega resistor is 4. 4v. what is the potential difference across (a) the 25-omega resistor and (b) the 62-omega resistor ?

Answers

Answer:

Since the resistors are in series, all of them carry the same current I.

if the potential drop across the 12 Ω is 4 V

I = 4 / 12 = 1/3 = .333 amp

a)  25 Ω * .333 amp = 8.33 V

b)  62 V * .333 amp = 20.7 V

When electrons are accelerated by 2450v in an electron microscope they will have wavelengths of
a)8.113nm
b)0.622nm
c)0.811nm

Answers

I think the answer is A I’m
Not sure tho

What causes a moonbow to occur? Reflection and refraction of moonlight Collisions of gaseous particles of Earth's atmosphere with charged particle released from the sun's atmosphere Extra-terrestrial life forms Solar flares in the night sky

Answers

A moonbow is occurred due to reflection and refraction of moonlight.

What is Moonbow?

A moonbow also known as a lunar rainbow. It is the phenomenon occurs when the moonlight is refracted through water droplets in the air. The amount of light available from the full moon is very less than that produced by the sun. So, the moonbows are the type of rainbow, produced by the moonlight refraction and reflection through water droplets. Moonbows are fainter than rainbows.

Thus, a moonbow is occurred due to reflection and refraction of moonlight.

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For nitrogen to be a liquid, its temperature must be within 12.78 °f of –333.22 °f. the equation |x 333.22 | = 12.78 can be used to find x, which represents the maximum and minimum temperatures at which nitrogen is a liquid. is the maximum temperature at which nitrogen is a liquid. is the minimum temperature at which nitrogen is a liquid.

Answers

The maximum temperature is -320.44 and the minimum temperature is -333.22.

How is the temperature variation calculated?

In this case, there was an increase of 50 °C in the temperature of this object. We say that the temperature variation suffered by the body was 50°C, and this can be determined mathematically through the difference between the final value and the initial temperature value (60 – 10 = 50).

In this case, we have:

[tex]x+ 333.22 = 12.78\\x=12.78-333.22\\x=-320.44[/tex]

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-320.44 is the maximum temperature at which nitrogen is a liquid.

-346 is the minimum temperature at which nitrogen is a liquid

Why is water sometimes called the universal solvent.

Answers

Answer:

Because it can desolve many many things.  

Explanation:

A person lowers a 1 kg basket down to the floor. At one instant while the person is doing this, the basket has an acceleration straight down of 2.0 m/s2 . What is the lifting force that the person is applying at this instant

Answers

The lifting force applied by the person in lowering the basket is determined as 7.8 N.

Lifting force applied

The lifting force applied by the person is determined from Newton's second law of motion.

F = mg - ma

F = m(g - a)

where;

g is acceleration due to gravity acting downwards

F = 1(9.8 - 2)

F = 7.8 N

Thus, the lifting force applied by the person in lowering the basket is determined as 7.8 N.

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Which characteristics describe whether a cell contains a nucleus?.

Answers

Answer:

the above picture might help

Compare the amount of work done when one man uses an ideal pulley to lift a 500 newton weight 2 meters and one man lifts a 500 newton weight 2 by hand.

Select one:
a. Depends on the number of pulleys.
b. More work is done when one man lifts the weight by hand.
c. More work is done when one man lifts the weight using a pulley.
d. The amount of of work is the same with or without the lifting pulley.

Answers

More work is done when one man lifts the weight using a pulley. Option C is correct.

What is mechanical advantage ?

Mechanical advantage is a measure of the ratio of output force to input force in a system, it is used to obtained efficiency of  forces in levers and pulley.

It is an effective way of amplify the force in simple machines like lever  The theoretical mechanical advantage is defined as the ratio of the force responsible for the useful work in the system  to the applied force.

More work is done when one man lifts the weight using a pulley. With the pulley, the mechanical advantage is increasing.

Hence, option C is correct.

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What is the equilibrium constant for the following reaction at 25 °c?

Answers

The equilibrium constant for the provided reaction at the temperature of 25 degree Celsius is 1/20.

What is equilibrium constant?

The equilibrium constant in a chemical reaction is the reaction quotient when the chemical reaction is at equilibrium constant.

The equilibrium constant for the for reaction at 25 °c given in the problem as,

[tex]2A\rightleftharpoons B+C, K_1=1.0 \\2B\rightleftharpoons C+D, K_2=16 \\2C+D\rightleftharpoons 2P, K_3=25 \\[/tex]

Now, the reaction for which the equilibrium constant at 25 °c has to be find out is,

[tex]P\rightleftharpoons A+\dfrac{1}{2}B[/tex]

[tex]K_4=\sqrt{\dfrac{1}{K_1}+\dfrac{1}{K_2}+\dfrac{1}{K_3}}\\K_4=\sqrt{\dfrac{1}{25}+\dfrac{1}{16}+\dfrac{1}{1}}\\K_4=\dfrac{1}{20}[/tex]

Thus, the equilibrium constant for the provided reaction at the temperature of 25 degree Celsius is 1/20.

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A pencil has a density of 0.875 g/ml. It has a volume of 4.0 ml. Find the mass

Answers

Answer:

To find the mass using density and volume we just multiply them against each other which causes ml to cancel and just leaves us with grams which represents how much the item weights.

[tex]mass=density*volume[/tex]

[tex]mass=0.875\frac{g}{ml}*4.0\ ml[/tex]

[tex]mass=3.5\ g[/tex]

Therefore, our final answer is that our pencil weight 3.5 grams

Hope this helps!  Let me know if you have any questions

if the forces on an object are greater than zero, the motion of an object will what?
what will the motion of the object do??

Answers

If the forces on an object are greater than zero,the object will definitely in the motion. This concept in accordance with law of inertia.

What is force?

Force is defined as the push or pulls applied to the body. Sometimes it is used to change the shape, size, and direction of the body.

Newton's law of inertia states that a body wants to continue its motion until the external force is not acted on it.

Hence, if the force is grater than zero, the body will be in motion.

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What is the potential at a distance of 5. 0 ? 10-10 m from a nucleus of charge 50e?

Answers

The electric potential at a distance from a nucleus of charge 50e is 144 Volts.

What is electric potential?

The potential is the work done by the test charge to move it from infinity to a particular point.

The potential is given by the relation

V = kQ / r

The distance of a point from the nucleus is 5.0 × 10⁻¹⁰ m and the charge on the nucleus is 50 e = 50 × 1.9 × 10⁻¹⁹ C.

k = 9 × 10⁹ kg-m²/s²-C²

Here, Q is the charge, r is the distance and k is the constant.

Substituting the value into the equation and solving, we get

V = 144 Volts

Thus, the potential at a distance from a nucleus of charge 50e is 144 Volts.

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A man walks for 2 hours at a speed of 3m/s. How far does he travel?

Answers

First you get the data:

Velocity (v) = 3m/sDistance (d) = ??Time (t) = 2hr

Time conversion: hours to seconds:

1 hour = 3600 seconds

[tex]\bf{2\not{h}*\left(\dfrac{3600 \ seg}{1\not{h}}\right)=7200 \ seg }[/tex]

We calculate the distance, using the formula:

                           [tex]\bf{d=t*v }[/tex]

                           [tex]\bf{d=3600\not{seg}*3\frac{m}{\not{m}} }[/tex]

                           [tex]\bf{d=21600 \ m}[/tex]

Answer: I travel to 21600 meters.

Can someone please answer this, ill give you brainliest Would be very appreciated.

The fact that water is attracted to itself, a property called (options adhesion, cohesion, surface tension), leads to another important property, the liquid form of water is (options less, more, equally) dense than the solid form. As water solidifies into ice, the molecules must move apart in order to fit in to a crystal lattice structure, causing water to expand as it freezes. Because of this, (options ice floats, ice sinks, ice forms at the surface then sinks) and water sinks, which keeps the oceans liquid and prevents them from freezing solid from the bottom up.

Answers

Answer:

See below ~

Explanation:

The fact that water is attracted to itself, a property called cohesion, leads to another important property, the liquid form of water is more dense than the solid form. As water solidifies into ice, the molecules must move apart in order to fit in to a crystal lattice structure, causing water to expand as it freezes. Because of this, ice floats and water sinks, which keeps the oceans liquid and prevents them from freezing solid from the bottom up.

Which list below contains only ionic compounds?

Answers

C.
Explanation: ionic compounds are metals and nonmetals, refer to your periodic table

write down what should be considered when writting scientific notation​

Answers

Answer:

   Find the original location of the decimal.

   Determine if the number will be positive or negative.

   Move the decimal point until it creates a number between one and ten.

   Count how many times you moved the decimal.

Explanation:

7. Identify the substance if a 5g sample is found to have a volume of 2.5ml.

Substance Density (g/mL)
A. 12.5
B. 2.0
C. 0.50
D. 10

Answers

Answer:

B

Explanation:

Density ( as shown) = g/ml

   density =  5 g / 2.5 ml =  2 g/ml

A charge Q acts on a test charge to create an electric field, E. The strength of the field is measured at 8 N/C at 40 cm away. What would the field strength be 80 cm away with a charge of 1/2 Q? Explain.

Answers

The electric field strength created by a charge decreases with increasing distance from the charge. The relationship between the electric field strength (E) and the distance (r) from the charge is given by the inverse square law:

E ∝ 1/r^2

Let's consider the given scenario:

At a distance of 40 cm (0.4 m) from the charge, the electric field strength is measured as 8 N/C.

We want to determine the electric field strength at a distance of 80 cm (0.8 m) from the charge when the charge is reduced to 1/2 Q.

First, we can set up a proportionality based on the inverse square law:

(E1)/(E2) = (r2^2)/(r1^2)

Substituting the given values:

8/E2 = (0.8^2)/(0.4^2)

Simplifying the equation:

E2 = 8 * (0.4^2)/(0.8^2)

E2 = 8 * 0.16/0.64

E2 = 2 N/C

Therefore, at a distance of 80 cm from the charge, when the charge is reduced to 1/2 Q, the electric field strength would be 2 N/C.

The strength of an electric field depends on the magnitude of the charge creating the field and the distance from the charge. In this case, since the charge is reduced to 1/2 Q, the electric field strength is also halved.

Additionally, as we move twice as far away from the charge (from 40 cm to 80 cm), the electric field strength decreases according to the inverse square law. As a result, the electric field strength is reduced to 2 N/C at a distance of 80 cm.

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The _____ of an object consists of its speed and direction.

Answers

Answer:

The answer is velocity.

Explanation:

Velocity in physics is defined as a vector measurement of the direction and rate of the motion.

The top pair of pliers failed to loosen a stubborn bolt, but the bottom pair successfully removed it.


Explain why the bottom pair of pliers might have made it easier to loosen the bolt, while the top pair failed.
Use your knowledge of mechanical advantage and ideal mechanical advantage to describe how simple machines can change the relationship between distance and force.

Answers

The top pair of pliers failed to loosen a stubborn bolt, but the bottom pair successfully removed it. Because the contact between the bolt and the   pliers working surface is less.

What is mechanical advantage ?

Mechanical advantage is a measure of the ratio of output force to input force in a system, it is used to obtained efficiency of the given mechanical machine.

The efficiency to open the stubborn bolt depends upon the contact between the working surface of the pliers and the bolt.

The contact between the bolt and the top pair of pliers working surface is less. Its mechanical advantage is less.

Hence, the top pair of pliers failed to loosen a stubborn bolt, but the bottom pair successfully removed it.

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why are sicissors concidered a first class lever

Answers

Answer:

The Fulcrum is the pivot in the middle and the Force is applied with your hand at the end. The item being cut has a “Shear” force applied to it by the blades.

Hope it helps :))

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