Based on the measured force between objects that are 10 meters apart, how can you find the force between objects that are any distance apart ?

Answers

Answer 1

Answer:

F' = 100 F/r²

Explanation:

The gravitational force of attraction between two objects is given by the Newton's Gravitational Formula. The Newton's Gravitational Formula is as follows:

F = Gm₁m₂/r²

where,

F = Force between objects

G = Universal Gravitational Constant

m₁ = mass of first object

m₂ = mass of second object

r = distance between objects = 10 m

Therefore,

F = Gm₁m₂/10²

Gm₁m₂ = 100F   --------------------- equation (1)

Now, we consider these objects at any distance r apart. So, the force becomes:

F' = Gm₁m₂/r²

using equation (1), we get:

F' = 100 F/r²

So, if the force (F) between objects 10 m apart is known, we can find it at any distance from the above formula.

Answer 2

The force between objects that are any distance apart is expressed as [tex]P'=\frac{100P}{r^2}[/tex]

According to the gravitational law, the force acting on an object is directly proportional to the product of their masses and inversely proportional to the square of their distance apart. Mathematically,

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

M and m are the masses

r is the distance between the masses

If the force between objects that are 10 meters apart, hence;

[tex]P=\frac{GMm}{10^2}\\P=\frac{GMm}{100}\\GMm = 100P[/tex]

To find the force between objects that are any distance apart, we will use the same formula above to have;

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

Substitute the result above into the expression to have:

[tex]P'=\frac{100P}{r^2}[/tex]

Hence the force between objects that are any distance apart is expressed as [tex]P'=\frac{100P}{r^2}[/tex]

Learn more on gravitational law here: https://brainly.com/question/11760568


Related Questions

How does temperature effect density and the flow of convection currents?

Answers

Answer:

Convection

Explanation:

Convection is heat transfer due to a density differential within a fluid. As water's temperature increases in the presence of a heat source, it will become less dense and rise. As it moves up and away from the heat source, it cools and becomes more dense and sinks.

A baseball is thrown horizontally with a velocity of 44 m/s. It travels a horizontal distance of 18
m to the plate before it is caught. How long does the ball stay in the air?

A.0.41 sec
B.41 sec
C.4.1 sec
D.4 sec

Answers

Answer:

a 0.41

plug number into equation

A horizontal baseball pitch is launched at 44 m/s. The ball will stay for 4.1 sec (approx) in the air. Hence, option C is correct.

What is Velocity?

The rate at which an object's position changes when observed from a specific point of view and when measured against a specific unit of time is known as its velocity.

Its SI unit is represented as m/s, and it is a vector quantity, it means that it has both magnitude and direction.

According to the question, the given values are :

Initial Velocity, u = 44 m/s,

Distance travelled, s = 18 m and,

Final velocity, v = 0.

Use equation of motion :

v = u + at

0 = 44 + (-9.8)t

t = 44 / 9.8

t = 4.3 (approx)

Hence, the time for which the ball stay in the air is 4.1 sec (approx).

To get more information about velocity :

https://brainly.com/question/13372043

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How long will it take a 2190 W motor to lift a 1.47 x 104 g box, 6.34 x 104 mm vertically.​

Answers

Answer:

4.2s

Explanation:

Given parameters:

Power = 2190W

Mass of box = 1.47 x 10⁴g

distance  = 6.34 x 10⁴mm

Unknown:

Time  = ?

Solution:

Power is the rate at which work is done;

 Mathematically;

        Power  = [tex]\frac{work done}{time}[/tex]  

   Time  = [tex]\frac{work done}{power}[/tex]  

 Work done  = weight x height

 convert mass to kg;

     100g = 1kg;

           1.47 x 10⁴g  = 14.7kg

convert the height to m;

          1000mm = 1m

          6.34 x 10⁴mm gives 63.4m

  Work done  = 14.7 x 9.8 x 63.4 = 9133.4J

  Time taken = [tex]\frac{9133.4}{2190}[/tex]   = 4.2s

Which of these is a base?


HNO3


vinegar


ammonia


HCl

Answers

The correct answer is Ammonia

Is a compound considered a pure substance?

Answers

Answer:

It depends on which compound you use carbon dioxide can be while helium will not but if you where to sum it up it would be use because simply most compounds are considered pure substance.

Explanation:

1000 kg car takes travels on a circular track having radius 100 m with speed 10 m/s. What is the minimum coefficient of static friction between tires and track needed to keep the car on circular path. *
A- 0.01
B- 0.05
C- 0.1
D- 0.2

Answers

Answer:

C. 0.1

Explanation:

1. A person weighs 155 lbs and is walking 3.1 miles per hour. How much kinetic energy does the person have? (Keep in mind, 1 kg is 2.2 lb, and 1 m/s is 2.24 mi/h.)2. What is the kinetic energy of a 5 g bullet travelling 400 m/s?
3. Is it possible to have a negative KE? Why or why not?

Answers

Answer:

Explanation:

Kinetic energy is expressed as;

KE =1/2 mv²

M is the mass

v is the velocity of the object

1) Given

Mass = 155lb

Velocity = 3.1mi/hr

Since 1kg = 2.2lb

x = 155lb

x= 155/2.2

x = 70.45kg

Also

1m/s = 2.24mi/hr

y = 3.1mi/hr

y = 3.1/2.24

y = 1.384m/s

KE = 1/2(70.45)(1.384)²

KE = 0.9577×70.45

KE = 67.47Joules

2) M = 5g =0.005kg

V = 400m/s

KE = 1/2(0.005)400²

KE = 80000×0.005

KE = 400Joules

3} Since a body decelerates (negative acceleration) this mean that the velocity of a body can be a negative value showing that it is possible for a moving body to possess negative kinetic energy.

A 300 g object attached to a horizontal spring moves in simple harmonic motion with a period of 0.340 s. The total mechanical energy of the spring–object system is 3.00 J.
(a) What is the spring constant (in N/m)?
(b) What is the amplitude (in m) of the motion?
(c) What is the percentage change in amplitude of motion if the total energy of the system is increased to 5.00 J?

Answers

Answer:

Explanation:

angular velocity ω = 2π / T where T is time period of rotation .

= 2 x 3.14 / .34 = 18.47 rad /s

Total mechanical energy = 1/2 m ω²Α² where A is amplitude .

spring constant = k

[tex]\omega=\sqrt{\frac{k}{m} }[/tex]  

m is mass

[tex]\omega^2=\frac{k}{m} }[/tex]

18.47² = k / .3

k = 102.34 N /m

b )

energy = 1/2 m ω²Α²

3 = .5 x 18.47² x A²

A² = .01759

A = .1326

13.26 cm .

c )

If energy becomes 5 J

5 = .5 x 18.47² x A²

A² = .0293

A = .1711

= 17.11 cm

percent increase

= (17.11 - 13.26 )x100 / 13.26

= 29%

A carbon ion with 10 electrons and 6 protons would have a charge of ?

Answers

Answer:

-4

Explanation:

Electrons are negative while protons are positive.

To find the charge, add the number of protons to the number of electrons.

6+(-10)

6-10

-4 is the charge

A child sits on a merry-go-round, 1.5 meters from the center. The merry-go-round is turning at a constant rate, and the child is observed to have a radial acceleration of 2.3 m/s2. How long does it take for the merry-go-round to make one revolution

Answers

Answer:

5 .07 s .

Explanation:

The child will move on a circle of radius r

r = 1.5 m

Let the velocity of rotation = v

radial acceleration = v² / r

v² / r = 2.3

v² = 2.3 r = 2.3 x 1.5

= 3.45

v = 1.857 m /s

Time of revolution = 2π r / v

= 2 x 3.14 x 1.5 / 1.857

= 5 .07 s .

The merry-go round will take 5.07 s to complete one complete revolution.

Given data:

The distance of child from the center is, r = 1.5 m.

The magnitude of radial acceleration is, [tex]a = 2.3 \;\rm m/s^{2}[/tex].

Since, the child is on merry-go round, which is undergoing a rotational motion. And radial acceleration means that it is under the acceleration, whose value is given as,

[tex]a=\dfrac{v^{2}}{r}\\\\v=\sqrt{a \times r}[/tex]

Here, v is the linear velocity.

Solving as,

[tex]v=\sqrt{2.3 \times 1.5} \\\\v=1.857 \;\rm m/s[/tex]

Now, we to obtain the time taken by merry-go round to complete one revolution. Then the expression for the time taken to complete one revolution is,

[tex]T=\dfrac{2 \pi r}{v}\\\\T=\dfrac{2 \pi \times 1.5}{1.857}\\\\T = 5.07 \;\rm s[/tex]

Thus, we can conclude that the merry-go round will take 5.07 s to complete one revolution.

Learn more about the centripetal acceleration here:

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Two hockey players are about to collide on the ice. One player has a mass of
66 kg and is traveling at 1.5 m/s north. The other has a mass of 75 kg and is
traveling at 1.2 m/s south. The system consists of the two tlockey players.
According to the law of conservation of momentum, what is the total
momentum of the system after they collide? Assume the collision is an
elastic collision.
A. 189 kg-m/s south
O B. 9 kg-m/s north
C. 189 kg.m/s north
D. 9 kg m/s south

Answers

Answer:

Option B: 9 kg.m/s North

Explanation:

We are told;

One player has a mass of

66 kg and is traveling at 1.5 m/s north.

Thus, velocity is positive since it's acting in the positive direction upwards.

Thus;

m1 = 66 kg

v1 = 1.5 m/s

Also, The other has a mass of 75 kg and is traveling at 1.2 m/s south.

Since it's traveling south, it means that velocity is negative. Thus;

m2 = 75 kg

v2 = -1.2 m/s

From conservation of mass, total momentum is;

m_total = m1•v1 + m2•v2

m_total = (66 × 1.5) + (75 × -1.2)

m_total = 99 - 90

m_total = 9 kg.m/s

This is positive and thus it will be in the direction of the north.

Answer:

9 kg-m/s north

Explanation:

The engine of a boat (m = 2280 kg) exerts an
1800 N force northward, while the current
pushes it 1050 N eastward.
What is the magnitude of the acceleration
of the boat?

Answers

Answer:

a = 0.9139 [m/s²]

Explanation:

To solve this problem we must use Newton's second law, which tells us that the sum of forces on a body is equal to the product of mass by acceleration.

The forces are on two different axes, x & y axes (North and East). In this way, the Pythagorean theorem should be used to determine the total force.

Fx = 1800 [N]

Fy = 1050 [N]

[tex]F = \sqrt{(F_{x} )^{2} +(F_{y} )^{2} } \\F=\sqrt{(1800)^{2} +(1050)^{2} } \\F=2083[N][/tex]

Now using Newton's second law.

ΣF = m*a

where:

F = force = 2083.8 [N] (units of Newtons)

m = mass = 2280 [Kg]

a = acceleration [m/s²]

2083.8 = 2280*a

a = 0.9139 [m/s²]

If a car traveled 50 meters in 2 seconds, what will the velocity be? (Write the answer with a number, on decimal if needed, then a space and the units, for example 5.7 m/s)

Answers

Answer:

The answer is 25 m/s

Explanation:

The velocity of the car can be found by using the formula

[tex]v = \frac{d}{t} \\ [/tex]

d is the distance

t is the time taken

From the question we have

[tex]v = \frac{50}{2} \\ [/tex]

We have the final answer as

25 m/s

Hope this helps you

The first group of planets that are made of rock and closest to the sun

Answers

Answer:

A terrestrial planet, telluric planet, or rocky planet is a planet that is composed primarily of silicate rocks or metals. Within the Solar System, the terrestrial planets are the inner planets closest to the Sun

When water changes from a gas in the atmosphere to a liquid droplet in a cloud, this is known as

Group of answer choices

transpiration

condensation

evaporation

precipitation

Answers

Answer:

Condensation

Explanation:

Answer:When water changes from a gas in the atmosphere to a liquid droplet in a cloud, this is known as

Group of answer choices

transpiration

condensation

evaporation

precipitation,←, that one is right

Explanation: so ur answer is precipitation

Someone help me please it’s urgent

Answers

Explain what we need to do ?

11. How fast will a pebble be traveling 3 seconds after being dropped? (g = 9.8 m/s2)
A.-9.8 m/s
B.29.4 m/s
C.9.8 m/s2
D.29.4 m/s

Answers

B is the correct answer.

what energy transfer will a stretched rubber band have when let go

Answers

Answer:

when the rubber band is realeased the potential energy is quickly converted to kinetic energy this is equal to one mass of the the rubber band multiplied by its velocity( in meters per second)

A coiled telephone cord forms a spiral with 65.0 turns, a diameter of 1.30 cm, and an unstretched length of 65.5 cm. Determine the inductance of one conductor in the unstretched cord.

Answers

Answer:

[tex]L=1.07\ \mu H[/tex]

Explanation:

Given that,

No of turns in a coiled telephone cord is 65

The diameter of the coil, d = 1.3 cm = 0.013 m

Radius, r = 0.0065 m

Unstretched length of the coil, l = 65.5 cm = 0.655 m

We need to find the inductance of one conductor in the unstretched cord. The formula for the inductance is given by :

[tex]L=\dfrac{\mu_oN^2 A}{l}\\\\L=\dfrac{4\pi \times 10^{-7}\times (65)^2\times \pi (0.0065)^2}{0.655 }\\\\L=1.07\times 10^{-6}\ H\\\\L=1.07\ \mu H[/tex]

So, the inductance of one conductor in the unstretched cord is [tex]1.07\ \mu H[/tex].

A pendulum is transported from sea-level, where the acceleration due to gravity g is 9.80 m/s2, to the bottom of Death Valley. At this location, the period of the pendulum is decreased by 3.00%. What is the value of g in Death Valley

Answers

Answer: the value of g in Death Valley is 10.417 m/s²

Explanation:

Given that;

acceleration due to gravity at the point is g = 9.8 m/s²

Lets say the acceleration due to gravity at the bottom of Death valley is g'

as the period of the pendulum is decreased by 3.00%

T' = 0.97 T  

T is the period of the pendulum at sea level  and T' is the period of the pendulum at bottom of Death valley

therefore from the relation

T = 2π√(l/g)

g'/g = T²/T'²

g' = (T²/ (0.97T)²)g

g' = 1.063g

g' = 10.417 m/s²

therefore the value of g in Death Valley is 10.417 m/s²

Which statement correctly describes the diferences between positive and negative acceleration
O Positive acceleration describes a change in speed, negative acceleration desxibes no change in speed,
Positive acceleration describes no change in speed, negative acceleration desibes a change in speed,
Positive acceleration describes an increase in speed, negative sexeleration desnibes a decrease in speed
O Positive acceleration describes a decrease in speed, negative sideration describes an increase in sarees

Answers

Answer:The answer is this Positive acceleration describes an increase in speed, negative sexeleration desnibes a decrease in speed

Explanation:

When the wooden block is placed in the water and allowed to float to the top, what percentage of it is submerged

Answers

Answer:

This question is incomplete

Explanation:

This question is incomplete. However, what is described in the question is known as upthrust. Upthrust is an upward force on an object (in this case the wooden block) provided by the liquid (water) as a result of it displacing some of the liquid. Thus floating objects will normally displace some part of the liquid; making some part of it to be submerged in water.

The percentage of the submerged wooden block can be calculated as

length (in height) of the wood block submerged in water/total length (in height) of the wood × 100

if an object is moving with a velocity of 25m/s, an acceleration of 5m/s and has a travel time of 5s, what is the final velocity of the object?​

Answers

V = at + V0

where v0 is the initial speed, a is the acceleration and t is the time.

So:

v = 5m/s^2*5s + 25m/s = 50 m/s

True or False. A compound is formed when two or more elements are combined to make a
new substance with its own properties.


Anyone?

Answers

Answer:

I believe It's true. Since from memory I KNOW a compound is formed when elements are combined chemically.

Answer: correct

Explanation: a compound is 2 or more elements formed to make a completely new thing. For example, water is a compound. Why? Well, water is h20. What is h20? It’s Hydrogen and Oxygen. Oxygen is also a compound. Another example is CO2 (carbon dioxide) it’s made of carbon and oxygen, so it’s a compound! A element is just a pure substance. It’s not made up of other materials. It’s in its purest form.

Two masses are to collide directly with each other. One has a mass of 5 kg and a velocity of 2 m/s. The other has a mass of 3 kg and a velocity of 1 m/2. The collision is perfectly inelastic. Find the velocity of the masses after the collision.

Answers

Answer:

v₃ = 1.625 [m/s]

Explanation:

To solve this problem we must use the definition of linear momentum conservation, which tells us that momentum is conserved before and after a collision.

Since the collision is inelastic, the two bodies are joined after the collision.

P = m*v [kg*m/s]

m = mass [kg]

v = velocity [m/s]

where:

P = lineal momentum [kg*m/s]

Now, it is important to clarify that in the following equation we will take the left side of the equation as the momentum before the collision and the right side of the equal sign as the momentum after the collision.

Pbefore = Pafter

(m₁*v₁) + (m₂*v₂) = (m₁+m₂)*v₃

where:

m₁ = mass one = 5 [kg]

v₁ = velocity of the mass one = 2 [m/s]

m₂ = mass two = 3 [kg]

v₂ = velocity of the mass two = 1 [m/s]

v₃ = velocity of the combined masses after the collision [m/s]

Now replacing we have:

(5*2) + (3*1) = (5 + 3)*v₃

10 + 3 = 8*v₃

v₃ = 13/8

v₃ = 1.625 [m/s]

When living things use chemical reactions to break down food, some of the energy is transformed into
OA. sound.
OB. heat.
OC. light
OD.waste
waste.

Answers

The answer is (D) Waste.

Answer:

OB. Heat

Explanation:

I hope this helped :)

PLZ HELP help me help help

Answers

Answer:

matter

Explanation:

Hope I helped :)

Explain the procedures used and data recorded to identify a crystalline mineral based on its properties.

Answers

Answer:

By examining its external shape, color, hardness, etc.

Explanation:

The picture below shows a science model made with a balloon, cord, and radiosonde.

Image showing a science model made with a balloon; at the bottom of the balloon is a cord with a radiosonde attached to it.

Which of these is most likely the function of the science model?

To change the density of air
To increase the humidity in air
To reduce the atmospheric pressure
To predict extreme weather conditions

Answers

Answer:

Since the person above didn't answer correctly I will, the correct option is (D) this is because the picture shown is of a weather balloon and the purpose of this device is to predict weather and its conditions

Hope this helped! (: Have a nice day

Answer: To predict extreme weather conditions

A radiosonde is a small tool that is put under a balloon filled with either hydrogen or helium. As the radiosonde goes up it measures pressure, temperature, and relative humidity.

The peripheral speed of the tooth of a 10-in.-diameter circular saw blade is 230 ft/s when the power to the saw is turned off. The speed of the tooth decreases at a constant rate, and the blade comes to rest in 17 s. Determine the time at which the total acceleration of the tooth is 130 ft/s2.

Answers

Answer:

The time is  [tex]t_r =21.58 \ s[/tex]  

Explanation:

From the question we are told that

   The  diameter of the circular saw  is [tex]d = 10 \ in = \frac{10}{12} = 0.833 \ feet[/tex]

   The peripheral speed is [tex]u = 230 \ ft/s[/tex]

    The time taken for the blade to come to rest is t = 17 s

    The total  acceleration of the tooth considered is  [tex]a = 130 \ ft/s^2[/tex]  

Generally the radius of the blade is mathematically represented as

            [tex]r = \frac{0.833}{2}= 0. 4165 \ feet[/tex]

Generally the tangential acceleration of the blade is mathematically represented as

           [tex]a__{t}} = \frac{v - u}{t}[/tex]

Here v is the final  velocity of the tooth of the blade which is  zero  since the blade came to  rest

so  

         [tex]a__{t}} = \frac{0 - 230}{ 17}[/tex]

=>      [tex]a__{t}} = - 13.53 \ ft/s^2[/tex]

Generally the total acceleration of the tooth of the blade is mathematically represented as

         [tex]a = \sqrt{a_t^2 + a_r^2}[/tex]

Here [tex]a_r[/tex] is the radial acceleration , now making [tex]a_r[/tex] the subject of the formula we have that

        [tex]130= \sqrt{13.56 ^2 + a_r^2}[/tex]

=>     [tex]a_r = \sqrt{130^2 -(- 13.56)^2}[/tex]

=>     [tex]a_r = 129.3 \ m/s^2[/tex]

Generally radial  acceleration is mathematically represented as

      [tex]a_r = \frac{v_r^2}{r}[/tex]    

Here  [tex]v_r[/tex] is the velocity at which the total acceleration is 130 ft/s2.

=>   [tex]v_r = \sqrt{a_r * r }[/tex]  

=>  [tex]v_r = \sqrt{129.3 * 0.4165 }[/tex]

=>  [tex]v_r = 7.34 \ m/s[/tex]

Generally the time at which the total acceleration is  130 ft/s2. is mathematically represented as

        [tex]t_r = \frac{7.34 - 300}{a_t}[/tex]

=>      [tex]t_r = \frac{7.34 - 300}{-13.56}[/tex]

=>      [tex]t_r =21.58 \ s[/tex]    

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The sales tax for an item was $18.60 and it cost $ 310 before tax. Find the sales tax rate. Write your answer as a percentage. If an initial amount A0 of money is invested at an interest rate i compounded times a year, the value of the investment after t years is If we let n = 8, that is referred to as the continuous compounding of interest. Use L' Hospital's Rule to show that if interest is compounded continuously, then the amount after years is A=A0eit 1.270 calves were born from gray-variegated cattle. Of these, 136 have parental coloring. Determine the genotype and phenotype of the rest of the offspring, if it is known that the gray-variegated coloration occurs when crossing black and white individuals.2.In some breeds of sheep there are animals without ears and animals with long ears. When they are crossed, animals with short ears are obtained. What offspring will be obtained by crossing short-eared animals and by crossing short-eared rams with long-eared sheep? 5 and 6 if you know ? 3/4 divided by what equals 12 5 (2k - 8 ) - 15 = -25 how do I solve this? The velocity of a car on a straight road changes from 0m/s to 6m/s in 3 seconds. What is it's acceleration. In three to four sentences, summarize the overall message within President Obamas speech. Use what you have learned throughout the lesson to explain why it is important that citizens understand the governments budget. Mike, David, Derek, and Chad are testing the speed of their sports cars. Who has the fastest sports car? 8. Kim has a fever. Her temperature is 100.5 degrees Fahrenheit. Norrtemperature is 98.6 degrees Fahrenheit, How much above normaltemperature is Kim's fever? A snowboard shop charges $10, plus an additional #3 per hour to rent a snowboard. Write the equation for the line in slope-intercept form.HURRY HELP PLS!! here is a list of number 51 38 48 36 39 40 39 47WHAT is the median Does mary have a guilty conscience? find the molar mass of this find the value of x PLEASE EXPLAIN 80pts. How has decorating the body changed over time in American culture? What was acceptable today that was not in pervious eras? What has changed about culture to make these permissible? how are elemens and compouds related, Evaluate the function f(x) = -2x + 9 when x = 2 Find the Comparison Error:"Between chocolate and vanilla, chocolate is best." How do you combine these 2 sentences by subordinating the 2nd sentence. The St. Louis Cardinals have a rich history of success. Their offense this year was awful.