How does the force of gravitation between two objects change when the distance between them is reduced to half?

Answers

Answer 1

Answer:

it is 1 / square root of the change in distance

Explanation:

since the equation of the gravitational force is

[tex]F=G{\frac{m_1m_2}{r^2}}[/tex]

then F and r are inversely related, by the equation

[tex]F \alpha \frac{1}{r^2}[/tex]

this means when F is multiplied by 2 then r^2 is multiplied by half

so when r is multiples by half we first square the number (0.5) ^ 2 = 0.25

so

[tex]F \alpha \frac{1}{(0.25)r^2}[/tex]

which means F is multiples by 1/0.25 or 4 when the radius is halfed


Related Questions

Can you please draw circuit diagram with 5 Ω resistor in series with bulb, switch and 12 V battery?

Answers

Answer:

Sorry for the bad drawing, as you have not specified whether is should be open switch or close I have drawn both

I hope it helps.

Which state of matter has molecules that barely move at all?

liquid

gas

solid

They are all the same.

Answers

Answer:

the answer is solid.

Explanation:

solid particles have a definite volume and shape therefore they cannot move are they are whole. the particles of solid are closely packed together, barely move, and barely vibrate.

Physics has a number of words meaning "mathematical models". Which one does NOT fit?



Group of answer choices

Pattern

Relationship

Affair

Equation

Answers

the answer would be affair

An object's inertia causes it to come to a rest position.

Answers

Answer:

no

Explanation:

the inertia of an object does not make it to come to rest, this is normally caused by friction

for what angle of projetion is the range is maximum​

Answers

Answer:

46 degrees

Explanation:

Identify each of the following statements related to universal gravitation as either true or false. False The gravitational field around a planet is oriented radially outward. True Stars must be at least 2 or 3 times more massive than our sun in order to become a black hole. False Orbiting astronauts are weightless because of the absence of a support force. False The outer planets in our solar system wobble in their orbits because the gravitational effects of the sun are so small. False The earth is falling toward the sun. False As you move farther from the earth, its gravitational force acting on you increases.

Answers

The characteristics of the universal gravitation law allow finding the results for which statements are true:

    2. Real stars must be at least 2 to 3 times more massive than our sun to become a black hole.

All the others are false.

The universal gravitational law states that the gravitational force is always attractive and is proportional to the masses and inversely proportional to the square of the distance.

       [tex]F = - G \frac{Mm}{r^2}[/tex]

Where F is the force, G is the universal gravitational constant, M and m are the masses and r the distance between the bodies.

Let's analyze the expressions:

1. The gravitational field around a planet is oriented radically outward

False. The force is attractive therefore it is directed towards the center of the planet.

2. Real stars must be at least 2 to 3 times more massive than our sun to become a black hole.

True. From observations of super-novae the minimum mass is 3 solar masses.

3. Astronauts in orbit are weightless due to the absence of a supporting force.

False. Astronauts have no weight because the force of gravity binds to change the direction of their velocity.

4. The outer planets of our solar system wobble in their orbits because the gravitational effects of the sun are very small.

False. The attraction of the sun decreases with the square of the distance, but the wobble is due to the attraction of the other large planets in this area.

5. The earth falls towards the sun.

False. The earth has a speed parallel to the orbit around the sun and the acceleration due to the attraction of the sun changes the direction of the orbital velocity, but the earth is not directed at the sun.

6, As you move away from the ground, the gravitational force acting on you increases.

False. The gravitational force is inversely proportional to the distance, therefore it decreases when leaving the earth.

In conclusion with the characteristics of the universal gravitation law we can find which statements are true:

     2. Real stars must be at least 2 to 3 times more massive than our sun to become a black hole.

All the others are false.

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Alex drops a soccer ball and a table tennis ball from the top of a ladder. He wants to compare the velocities of the balls just before they hit the ground.
Which formula should Alex use to calculate the velocity of each ball,
assuming they are in free fall?

A) v=Gt
B) g=vt
C) t=vg
D) v=G/t

Answers

Answer:

d is the correct answer

Explanation:i did this math

A student pushes on an object with a force of 6 newtons and the object does not move. what force does the object exert on the student’s hands?

Answers

Answer:

6 newtons

Explanation:

If it's an equal force exerted on the student's hands, the object will not move.

If a student pushes on an object with a force of 6 newtons and the object does not move then the force exerted by the object on the student’s hands would be 6 Newtons because the applied force is equal to the static frictional force until the object does not move.

What is friction?

Friction is a type of force that resists or prevents the relative motion of two physical objects when their surfaces come in contact

As given in the problem If a student pushes on an object with a force of 6 newtons and the object does not move then we have to find out the force exerted by the object on the student’s hands,

Force applied by the student of the object = 6 Newtons

The force exerted by the object on the student's hand = 6 Newtons

Thus, the force exerted by the object on the student’s hands would be 6 Newtons

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The maximum allowable potential difference across a 250 mH inductor is 360 V . You need to raise the current through the inductor from 1.5 A to 2.5 A . What is the minimum time you should allow for changing the current?

Answers

This question involves the concepts of potential difference, inductance, and current.

The minimum time that should be allowed for the current to change is "0.694 ms".

The inductance of an inductor is given by the following formula:

[tex]E=L\frac{\Delta I}{\Delta t}\\[/tex]

where,

E = potential difference across the inductor = 360 volts

L = inductance of the inductor = 250 mH = 0.25 H

ΔI = change in current = 2.5 A - 1.5 A = 1 A

Δt = time required = ?

Therefore,

[tex]\Delta t = \frac{(0.25\ H)(1\ A)}{360\ volts}[/tex]

Δt = 6.94 x 10⁻⁴ s = 0.694 ms

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How much work must be done to stop a 925-kg car traveling at 95 km/h?

Answers

The amount of work done to stop the car is equal to 322,099.85 Joules.

Given the following data:

Mass = 925 kilogramsVelocity = 95 km/h

Conversion:

Velocity = 95 km/h = [tex]\frac{95 \times 1000}{60 \times 60} = 26.39 \;m/s^2[/tex]

To determine the amount of work done to stop the car, we would apply the work-energy theorem:

Note: The amount of work done must balance the kinetic energy possessed by the car due to its motion.

From the work-energy theorem, we have:

[tex]Work\done = \Delta K.E\\\\Work\done = \frac{1}{2} MV^2[/tex]

Substituting the given parameters into the formula, we have;

[tex]Work\;done = \frac{1}{2} \times 925 \times (26.39)^2\\\\Work\;done =462.5 \times 696.4321[/tex]

Work done = 322,099.85 Joules

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What is electromagnetic force and how does it work and what it does??

Answers

Answer:

Explanation:

The electromagnetic force, also called the Lorentz force, acts between charged particles, like negatively charged electrons and positively charged protons. Opposite charges attract one another, while like charges repel. The greater the charge, the greater the force.

An object's _____ energy that is used to perform work is equal to its potential energy plus its kinetic energy.

Answers

its the British government

A source produces 25 waves every second. The wavelength of the waves is
50 cm. How fast will the waves be travelling?

Answers

Answer:  

1 s

Explanation:

The speed of the sound, distance travelled and the time taken relationship is given as follows.

Speedofsound,v=Distancetravelled×Timetaken ----eqn 1

With the given values of wavelength = 50 cm = 0.5 m and frequency =1000 Hz, the speed of the wave is calculated as follows.

Speedofsound,v=Frequency(ν)×Wavelength(λ) -- eqn 2

That is, v=ν×λ=1000Hz×0.5m=500m/s

Substituting the value of the speed of sound in eqn 1 gives the time taken for the sound wave to travel a distance of 500 m.

That is, Timetaken=

Distancetravelled

Speedofsound

=

500m

500m/s

=1second.

Hence, the time taken for the sound wave to travel is 1 second.

The speed with which the waves will be travelling is 12.5m/s.

Given the data in the question;

Frequency; [tex]f = 25\ waves\ per\ second = 25s^{-1}[/tex]Wavelength; [tex]\lambda = 50cm = 0.5m[/tex]

Speed of the wave; [tex]v =\ ?[/tex]

To determine how fast the waves will be travelling, we use the expression for the relations between wavelength, frequency and speed of wave.

[tex]\lambda = \frac{v}{f}[/tex]

Where [tex]\lambda[/tex] is wavelength, f is frequency and v is speed of wave

We substitute our values into the equation

[tex]0.5m = \frac{v}{25s^{-1}} \\\\v = 0.5m * 25s^{-1}\\\\v = 12.5ms^{-1}[/tex]

Therefore, the speed with which the waves will be travelling is 12.5m/s.

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When you mix pigments together, why does the resulting color always look darker?

Answers

Answer:

because you are not only mixing the colors u are also mix the colors in side the colors for example if u take pink red and white and mix it with green blue and yellow it will make it darling because if the inside colors

A car was sitting in sunlight all day long. The heat that is now contained in the car was transferred to the car primarily by which of the following processes? Question 1 options: radiation conduction convection electrical energy transfer.

Answers

Radiation conduction…

The temperature of a body is measured using the resistance of a wire. To calibrate the device the following measurements were taken (ohms is the unit of electrical resistance).


Resistance in melting ice 240 ohms.

Resistance in boiling water 250 ohms.

a. What is the change in resistance for a change in temperature of 1 Degree Celcius?

b. The wire is placed into some hot water and the resistance is mesured to be 246 ohms. What is the temperature of the water?

Answers

Answer:

A)250-240

=10+960

=970

What is the vertical component of a ball thrown at a 27 degree angle at 16 m/s?

Answers

y = y 0 + v 0 y t − 1 2 g t 2 . If we take the initial position y 0 to be zero, then the final position is y = 10 m. The initial vertical velocity is the vertical component of the initial velocity: v 0 y = v 0 sin θ 0 = ( 30.0 m / s ) sin 45 ° = 21.2 m / s .

LED lightbulbs are the most energy efficient way to light your home, as they use _____ of the energy of a comparable compact fluorescent bulb.

Answers

Light - emitting diode lightbulbs known as LED lightbulbs are energy saving lightbulbs. They consume very small amount of energy compare to other lightbulbs. Therefore, LED lightbulbs are the most energy efficient way to light your home, as they use about ten percent (10%) of the energy of a comparable compact fluorescent bulb.

There are varieties of different light bulbs. some of them are  incandescent, compact fluorescent (CFL), halogen, and light-emitting diode (LED) to mention a few.

Before the advent of light - emitting diode (LED) bulbs, some of the bulbs consume a lot of energy. For instance, we have incandescent bulbs of 20 watts, 50 watts, 100 watts and even 200 watts.

But with the advent of light - emitting diode (LED) bulbs, consumers can save energy because light - emitting diode (LED) bulbs save a lot of energy and they are very bright.

We can therefore conclude that light - emitting diode lightbulbs known as LED lightbulbs are the most energy efficient way to light your home, as they use about ten percent (10%) of the energy of a comparable compact fluorescent bulb.

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A measuring cylinder contains 80 cm3 of a certain liquid. The liquid is poured

into an empty beaker of mass 48 g. The total mass of the beaker and the liquid

was found to be 136 g.

(a) Calculate the mass of the liquid in grams.

(b)Calculate the density of the liquid in gcm-3

Answers

Answer:

1.5 g/cm

3

Let d be the density of fluid.

So , Initial reading of balance, F

1

=30dg N

After the level reaches 50cm

3

Final reading of balance , F

2

=50dg N

Given that difference between final and initial reading is 30g

i.e, F

2

−F

1

=30 g

⟹50dg−30dg=30g

⟹20dg=30g

⟹d=

20g

30g

⟹d=1.5g/cm

3

So, density of fluid is 1.5g/cm

3

Ryan and his dad go paintball img they 700 balls each how much did paintballing cost for the two of them

Answers

Answer:

We don't know how much it cost bc u didn't give us a number of how much one person cost or any details but if you add both of the balls together they have 1,400 balls

To calculate the cost of paintballing for Ryan and his dad, we need to know the cost per paintball. Once we have that information, we can multiply it by the total number of paintballs they used (700 balls each).

Let's say the cost per paintball is $0.50.

For Ryan:

Cost for Ryan = Cost per paintball × Number of paintballs used by Ryan

Cost for Ryan = $0.50/ball × 700 balls = $350

For his dad:

Cost for Dad = Cost per paintball × Number of paintballs used by Dad

Cost for Dad = $0.50/ball × 700 balls = $350

Total cost for both of them:

Total Cost = Cost for Ryan + Cost for Dad

Total Cost = $350 + $350 = $700

So, the total cost of paintballing for Ryan and his dad is $700, assuming the cost per paintball is $0.50.

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When positive charges build up in an object, the net charge of that object becomes...

a. it stays the same
b. negative
c. positive
d. neutral

Answers

Answer:

c. postive

Explanation:

All physical objects are made up of atoms. Inside an atom are protons, electrons and neutrons. The protons are positively charged, the electrons are negatively charged, and the neutrons are neutral.

Therefore, all things are made up of charges. Opposite charges attract each other (negative to positive). Like charges repel each other (positive to positive or negative to negative). Most of the time positive and negative charges are balanced in an object, which makes that object neutral.

Static electricity is the result of an imbalance between negative and positive charges in an object. These charges can build up on the surface of an object until they find a way to be released or discharged. One way to discharge them is through a circuit.

Hope this helps, have a nice day/night! :D

Answer:

C

Explanation:

C because if you build anything up it remains the same.

A car accelerates from 20m/s to 25m/s in 4s as it passes a truck. What is the distance travelled?​

Answers

Answer:

afcorse 1 miles

Explanation:

yep plz make me the brainliest

The distance travelled by car is displacement which is

What is displacement?

Displacement is defined to be the change in position of an object.

[tex]s=\frac{1}{2} (v+u)t[/tex]

[tex]s=\frac{1}{2} (25+20)4\\s= 90 m[/tex]

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13. A ball is dropped. According to Newton's Third Law, the action force is the
earth pulling the ball, and the reaction is:

Answers

Answer:

the ground when the ball hits it

Explanation:

A ball falls freely towards the Earth. If the action force is the Earth pulling down on the ball, then identify which of the following best describe the reaction force:

Solve this anyone please fast ..!​

Answers

Answer:

Explanation:

Ax= 20*sin37

Ay =20*cos37

Bx=15*cos40

By =  -15*sin40

Cx = -6*cos60

Cy = -6*sin60

Answer:

Ax = 12 cos 53

Ay = 12 sin 53

Bx = 15 cos 320 = 15 cos 40

By = 15 sin 320 = -15 sin 40

Cx = 6 cos 240 = -6 cos 60

Cy = 6 sin 240 = -6 sin 60

Which of the followng is Newton's Second Law?

a. An object in motion will stay in motion unless acted upon by an unbalanced outside force
b .Force = mass times acceleration
c.When one object puts a force on the another object, the second object puts a force back on the first, equal in magnitude and opposite in direction

Answers

Answer:

A

Explanation:

PLEASE ANSWER ASAP!!

Which part of the graph represents how much energy the reactants need to gain to become products? F Potential energy HA Н G Reaction progress

A. H minus F

B. H

C. G

D. F

(NO LINKS)​

Answers

D I think I really don’t know

Lab report: Newton's Second Law

Answers

Answer:

Newton found the acceleration of a body to increase with force and decreases with mass

fore example : a equal force applied on two different things that one of thing is have 100kg and another have70kg but the acceleration is different because the bigger one accelerate slower than the smaller because

[tex]f = ma[/tex]

can someone help me?

Answers

Answer:

B

Explanation:

Y won't sink because his shoes have wider area

what will be the effect on gravitational pull between two objects of medium between them is changed

Answers

Answer:

force of gravitational attraction between them also decreases.

Explanation:

force of gravitational attraction between them also decreases.

it is not 132m and plzz explain how the answer is 66m​

Answers

Distance = 1/2 x velocity x time

Distance = 1/2 x 0.40 x 330

Distance = 66 meters

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