Stephen learned that any two objects exert a gravitational force on each other. If the distance between two objects triples, the gravitational force between them will change by a factor of what?.

Answers

Answer 1

The gravitational force between them will change by a factor 1/9.

We need to know about gravitational force to solve this problem. The gravitational force is the force caused by two masses objects. The magnitude of gravitational force can be determined as

F = G.m1.m2 / R²

where F is the gravitational force, G is the gravitational constant (6.674 × 10¯¹¹ Nm²/kg²), m1 and m2 are the mass of the object and R is the radius.

From the question above, we know that

R2 = 3R1

By substituting the following parameters, we get

F2/F1 = G.m1.m2 / R2² / G.m1.m2 / R1²

F2/F1 = G.m1.m2 / (3R1)² / G.m1.m2 / R1²

F2/F1 = 1/9

Hence, the gravitational force between them will change by a factor 1/9.

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Related Questions

How do I find average velocity and average time

Answers

Answer:

x2- x1 / t2 - t1

Explanation:

To find this speed, you have to use the operation of: X2 -X1/ t2 -t1, we know that x is the distance, we do the operation and that would be our average speed

A 12100 kg railroad car is coasting on a level, frictionless track at a speed of 19. 0 m/s when a 4790 kg load is dropped onto it. If the load is initially at rest, find the new speed of the car and the % change of the kinetic energy.

Answers

The new speed of the car after the collision is 13.61 m/s.

The change in the kinetic energy is  -619,764.92 J.

What is the new speed of the car?

The new speed of the car can be determined by applying the principle of conservation of linear momentum as follows;

Pi = Pf

m₁v₁ + m₂v₂ = v(m₁ + m₂)

where;

m₁ is the mass of the carm₂ is the mass of the loadv₁ is the initial velocity of the carv₂ is the initial velocity of the loadv is the final velocity of both mass

(12100 x 19) + (4790 x 0) = v(12100 + 4790)

229,900 = v(16,890)

v = 229,900 / 16,890

v = 13.61 m/s

The change in the kinetic energy is calculated as follows;

K.Ei = ¹/₂m₁v₁² + ¹/₂m₂v₂²

K.Ei = ¹/₂(12100)(19²)

K.Ei = 2,184,050 J

K.Ef = ¹/₂v²(m₁ + m₂)

K.Ef = ¹/₂(13.61²)(12100 + 4790)

K.Ef = 1,564,285.1 J

The change in the kinetic energy is calculated as follows;

ΔK.E = K.Ef - K.Ei

ΔK.E = 1,564,285.1 J - 2,184,050 J

ΔK.E = -619,764.92 J

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help plsss
can someone explain me what l means? in this pic?
tysm​

Answers

Answer:

pie

Explanation:

pie

even a top baseball player will sometimes strike out on an easy pitch. when this happens, his next action may be to throw the bat or kick the water cooler with all his might.

Answers

"Misplaced aggression" is the term for it. Not just athletes express their sadness and enlightenment at failing to succeed, but individuals do as well.

Simply "suck it up buttercup," keep pushing yourself, and hit the next pitch for a "double" when it comes.

When we are enlightened with the truth, all sorrow ends. We become aware that we are not the body experiencing physical discomfort after we reach enlightenment.

We are not the mind that daydreams, fears, worries, stresses, feels anxious or depressed. The ego that suffers from rage, hatred, and envy is not who we are.

Therefore, all pain ends at that very instant of enlightenment when we know that we are the Divine Soul, the Spark Of Unique Life. After attaining enlightenment, suffering is a given.

Yes, there are difficulties with the body's, mind's, and ego's senses. There can be no more pain even if we are still being tested to determine whether we have reached full enlightenment.

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Which of the following is an example of climate?

Answers

Answer: Snowy and rainy

Explanation:

Calculate the gravitational force producedbetween moon and every gram of sand on its surface.[Mass & radius of moon = 7 .2x10²² kg x 1700000m]​

Answers

The magnitude of the gravitational force produced between moon and every gram of sand on its surface is  1.66 x 10⁻³ N.

What is the gravitational force?

The gravitational force between the moon and every gram of sand on its surface is determined by applying Newton's law of universal gravitation.

This law states that every object in the universe attracts each other with force that is directly proportional to the product of the masses and inversely proportional to the square of the distance between the objects.

F = Gm₁m₂/R²

Where;

G is universal gravitation constantm₁ is mass of the sand = 1 g = 0.001 kgm₂ is mass of the moonR is the distance between the moon and the sand

F = (6.67 x 10⁻¹¹ x 0.001 x 7.2 x 10²²) / (1,700,000)²

F = 1.66 x 10⁻³ N

Thus, from the magnitude of the gravitational force produced between moon and every gram of sand on its surface, we can say that it is quite small.

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What atom does this represent?

Answers

Answer:

Carbon (C)

Explanation:

Usually an atom had the same amount of protons as it does electrons which means the atom has 6 protons.

Carbon is the atom that contains 6 protons.

An 800 kg car is travelling at 70 mph and overtaking
a 15 000 kg truck travelling at 55 mph. Calculate the
ratio of the momentum of the truck to the momentum
of the car (Ptruck/Pcar).
Value
Units
kg m/s
Check my answer
?

Answers

Answer:

????

Explanation:

Stephen learned that any two objects exert a gravitational force on each other. If the distance between two objects triples, the gravitational force between them will change by a factor of what?.

Answers

Stephen learned that any two objects exert a gravitational force on each other. If the distance between two objects triples, the gravitational force between them will change by a factor of 9.

What is gravitational force?

The gravitational force is the force of attraction between all masses in the universe; especially the attraction of the earth's mass for bodies near its surface. gravitational force also causes objects to fall.

The mathematical expression for the gravitational force when everything is at normal is given by:

F₁ = G(m₁m₂) / r²

When the distrance is tripled, the expression will be:

F₂ = G(m₁m₂) / 3r²

F₂ = G(m₁m₂) / 9r² = 1/9F₁

The new force gets reduced to 9th fraction of the actual force. now we want the new and actual force to be equal to:

F₂ = F₁/9

9F₂ = F₁

Therefore the mass of one of the body should be increased by 9 times.

From the question above; the gravitational force between the objects is inversely proportional to the square of the distance between the object.

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An iodine atom has 53 protons. How many electrons does an
iodine anion have?

Answers

Answer:

Since the iodine is added as 1-anion, the number of electrons is 54( 53-(1-) =54

What factors influence the amount of kinetic energy an object has?

Answers

By the relation of KE = ½mv²,

the kinetic energy in a body is directly proportional to its mass and square of velocity.

1. What is the direction of the induced current in the front side of the coil?
a. Left
b. Right
c. Up
d. down


2. in what direction is the magnet moving?
a. Away
b. Toward
c. Up
d. Down

Answers

1. What is the direction of the induced current in the front side of the coil?

a. Left

b. Right

c. Up

d. down

2. in what direction is the magnet moving?

a. Away

b. Toward

c. Up

d. Down

Hope it helps

To determine the direction of the induced current in the front side of the coil and the direction of the magnet's movement, we can use Faraday's law of electromagnetic induction, which states that an induced current is produced in a conductor when it is exposed to a changing magnetic field.

1.) Direction of the induced current in the front side of the coil:

The direction of the induced current can be determined using Lenz's law, which states that the induced current will flow in a direction that opposes the change that caused it.

If the magnet is moving away from the front side of the coil:

The magnetic field through the coil is decreasing. According to Lenz's law, the induced current will flow in a direction to create a magnetic field that opposes this decrease. Applying the right-hand rule for the direction of the magnetic field around a wire, we can determine that the induced current in the front side of the coil will flow counterclockwise when viewed from the front. Therefore, the answer is option a. Left.

2.) If the magnet is moving toward the front side of the coil:

The magnetic field through the coil is increasing. According to Lenz's law, the induced current will flow in a direction to create a magnetic field that opposes this increase. Applying the right-hand rule for the direction of the magnetic field around a wire, we can determine that the induced current in the front side of the coil will flow clockwise when viewed from the front. Therefore, the answer is option b. Right.

Direction of the magnet's movement:

Based on the given information, the options provided (Away, Toward, Up, Down) are not sufficient to determine the exact direction of the magnet's movement. More specific information is needed to determine the direction of the magnet's movement.

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what is the relationship between instantaneous speed and instantaneous velocity? group of answer choices they are unrelated. instantaneous speed is the initial speed minus the final speed. instantaneous speed is the rate at which the instantaneous velocity is changing. instantaneous speed is the magnitude of the instantaneous velocity. they are identical.

Answers

The relationship between instantaneous speed and instantaneous velocity is that instantaneous speed is the magnitude of the instantaneous velocity.

Instantaneous velocity is the rate of change of position for a very small interval of time. The interval of time so that that its value is almost zero. Instantaneous speed is the magnitude of instantaneous velocity without any direction.

The instantaneous velocity is vector quantity just like velocity and the instantaneous velocity is a scalar quantity just like speed. The value of if instantaneous velocity with direction is instantaneous velocity.

Therefore, the relationship between instantaneous speed and instantaneous velocity is that instantaneous speed is the magnitude of the instantaneous velocity.

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If there were two more carts of equal size and mass added to the ride, what would the coaster’s kinetic energy be at location X?

Answers

If there were two more carts of equal size and mass added to the ride, then the coaster’s kinetic energy will be decreased at location X because of increasing weight.

What is kinetic energy?

Kinetic energy is a type of energy that is present in an object because of its motion. If work is done on an object by applying a force, the object's speed increases and therefore gains kinetic energy. The two main factors that affect kinetic energy are the mass and speed of that object because the motion of an object depends on how fast the object is traveling and it also depends on the mass. But in this case, the mass is added to the object but the force remains the same then the kinetic energy of that object decreases.

So we can conclude that the kinetic energy will decrease when two carts of having equal size and mass.

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A 2 kg block is pulled with 3.7 N of force to the right. The block experiences 1.7 N of friction. What is the acceleration of the block?

.

Answers

Answer:4.7

Explanation:

A football player running at a velocity of 9.0m/s hits the goal post and come to a stop in 0.0sec . calculate his acceleration. (a) find this acceleration in ft/sec ?

Answers

The acceleration during uniform motion in ft/sec is -98.42.

We need to know about the uniform motion to solve this problem. The uniform motion is an object's motion under acceleration. It should follow the rule

vt = vo + a . t

vt² = vo² + 2a . s

s = vo . t + 1/2 . a . t²

where vt is final velocity, vo is initial velocity, a is acceleration, t is time and s is displacement.

From the question above, we know that

vo = 9 m/s

t = 0.3 s

vt = 0 m/s

Calculate the acceleration in m/s

vt = vo + at

0 = 9 + a.0.3

a = -9/0.3

a = -30 m/s²

Convert to feet/s

a = -30 m/s

a = -98.42 ft/s

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A student building a game wants to launch a 0.0060kg using a spring. The spring constant is 380N/m. Assume no mechanical energy is lost from the system

Answers

The total mechanical energy of the spring is 4.275 x 10⁻⁶ J.

What is the total mechanical energy of the system?

The total mechanical energy of the system if no energy is lost from the system is calculated as follows;

U = ¹/₂kx²

where;

k is the spring constantx is the extension of the spring

The extension of the spring is calculated as follows;

F = kx

x = F/k

x = mg/k

x = (0.006 x 9.8) / 380

x = 0.00015 m

The mechanical energy of the spring is calculated as follows;

U = ¹/₂(380)(0.00015)²

U = 4.275 x 10⁻⁶ J

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The complete question is below:

A student building a game wants to launch a 0.0060kg using a spring. The spring constant is 380N/m. Assume no mechanical energy is lost from the system. find the total mechanical energy of the system

7. Falling objects drop with an acceleration of 9.8 m/s².
If an Olympic high diver steps off the 10 m platform and falls for 1.4s,
what velocity will she enter the water at?

Answers

Explanation:

velocity=distance/time

v=10m/1.4sec

Answer:

13 . 7 m/s

Explanation:

v = a t

  =  acceleration    time

  =   9.8 m/s^2   *  1.4 s = 13.7 m/s

Which of the answers below are examples of moderate activities?
A- walking slowly, floating in a pool, bicycling 2-3 mph
B- playing video games, sleeping, watching TV
C- bicycling 5-9 mph, walking briskly, recreational swimming

Answers

    Exercises that register between 3 and 6 METs are considered moderate- intensity activities because they get you moving quickly enough or vigorously enough to burn off three to six times as much energy per minute as you do while you're sitting still.

What purpose do moderate activities serve?

Chronic Heart Disease

     Your chance of developing these diseases can be decreased by engaging in at least 150 minutes of moderate physical activity each week. By engaging in additional exercise, you can further lower your risk. Additionally, regular exercise helps lower blood pressure and lower cholesterol.

Which courses are moderately paced?

  Your heart rate will rise while you engage in moderate aerobic activity, and you'll also feel warmer and breathe more quickly than usual.

This may entail taking a quick stroll.

leisurely cycling or cycling on flat land.mild swimmingAquatic exercise.tennis doubles. volleyball.What would you say is moderate intensity exercise?

A quick method to gauge relative intensity is the conversation test. In general, you can converse but not sing while engaging in moderate-intensity exercise. In general, you won't be able to speak for more than a few words without pausing to take a breath if you're engaging in vigorous-intensity activities.

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Roger the Rooster speeds up from 0 m/s to 2.5
m/s. If he covers 7.5 meters during this time, what
was his acceleration in m/s/s?

Answers

The acceleration of Roger the Rooster is equal to 0.4167 meters per seconds square (m/s/s).

What is an acceleration?

An acceleration can be defined as the rate of change of the velocity of a physical object or body with respect to time.

How to calculate the acceleration of Roger the Rooster?

In order to determine the acceleration of Roger the Rooster, we would apply the third equation of motion. Mathematically, the third equation of motion is given by:

V² = U² + 2aS

Where:  

V represents the final velocity.U represents the initial velocity.S represents the distance travelled or covered.a represents the acceleration.

Making a the subject of formula, we have:

a = (V² - U²)/2S

Substituting the given parameters into the formula, we have;

Acceleration, a = (2.5² - 0²)/2(7.5)

Acceleration, a = 6.25/15

Acceleration, a = 0.4167 m/s/s.

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A mountain climber is hanging from a vertical rope, far above the ground and far from the rock face. The rope is vertical

Answers

A mountain climber is hanging from a vertical rope, far above the ground and far from the rock face. the forces on the mountain climber are

Tension Weight

This is further explained below.

What is Tension?

Generally, Tension is defined as the pulling force that is transmitted axially by the means of a string, a cable, a chain or another object of a similar nature, or by each end of a rod, truss member, or another object of a similar three-dimensional nature.

Alternatively, tension can be defined as the action-reaction pair of forces that act at each end of the elements in question.

The gravitational pull that gravity exerts on an item is quantified by that object's weight.

There is a common conception that weight is a vector quantity that represents the gravitational force that is exerted on the item. Some people consider weight to be a scalar number, which they define as the intensity of the gravitational pull.

In conclusion, One of the mountain climbers is suspended on a rope that runs vertically up the mountain, high above the earth, and away from the rock face. Tension and weight are the forces acting upon the mountain climber.

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CQ

A mountain climber is hanging from a vertical rope, far above the ground and far from the rock face. The rope is vertical. Identify the forces on the mountain climber.

+
O
1
2
Projectile Math review
1
10 points
A soccer ball is kicked with a velocity of 15.7 at an 51.6 degree angle. How far away will the ball land back on the ground?

Answers

The ball land back on the ground at the distance of 37.75 meters from the point it was kicked after completing the projectile.

What is projectile?

The term "projectile" refers to an item that is pushed by the application of an external force, then moves freely while being influenced by gravity and air resistance. Even though everything that travels through space is a projectile, they are widely used in both sports and conflict (for example, a thrown baseball, kicked football, fired bullet, shot arrow, stone released from catapult)

the ball is kicked at the speed of 15.7 m/s with degree 51.6° angle.

Vertical velocity = 15.7 sin51.6 = 15.7(0.783) = 12.3 m/s

Horizontal velocity = 15.7 cos51.6 = 15.7(0.962) = 15.1 m/s

Lets calculate the time of flight:

v = u + at

Here, v = final vertical velocity, a = gravitational acceleration, u = initial vertical velocity, t = time

putting the values

0 = 12.3 + 9.8(t)

t = -1.25 s

times cant be negative so we consider it as 1.25 seconds

This is half time, IN the compete projectile the ball will reach at the top and then again come to land taking the same time. so,

T = 2t = 2(1.25) = 2.5 seconds

Calculating the range:

Distance = speed(time)

Speed = Horizontal velocity = 15.1 m/s

time = 2.5 s

putting the values

Distance = 15.1(2.5) = 37.75 m

Therefore, the ball land back on the ground at the distance of 37.75 after full projectile.

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what is the initial mechanical energy of the woman falling from the building what is her final mechanical energy

Answers

The answer is potential energy and kinetic energy

Scarcity impacts opportunity costs because most resources are limited. Which of the following resources is not considered scarce?
trash
clean air
oil
fresh water

Answers

The resource that is not considered scarce among the four given options is trash.

Trash is available in limited quantity. But a human being has no use for trash. So, trash is undesirable. Therefore, it not considered a resource. A resource mush have value or benefits.

Clean air is considered scarce because, there are some parts of world where you have to spend some money to keep the air clean. Oil is considered scarce because of increase in oil prices all over the world. Fresh water is considered scarce because only 3% of the world's water is fresh water and 2/3rd of it not accessible.

Therefore, the resource that is not considered scarce among the given options is trash.

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When using the method of initial rates for a kinetic study, the reaction is performed ____________ one reactant concentration is kept constant, and the other____________.

Answers

When using the method of initial rates for a kinetic study, the reaction is performed several times one reactant concentration is kept constant, and the other varies.

Kinetic studies are used to identify the rate of chemical reactions also called chemical kinetics.

In this process, a kinetic model is designed to study the rates of the pathways of the reactions taking place in a chemical reaction.

In general, kinetic studies are of critical importance as they provide verification for the chemical processes being carried out at the moment.

In chemistry, having sufficient knowledge about chemical reactions and mechanisms can be really helpful to find out the best way for a reaction to take place in the best possible short time.

Moreover, the study also allows you to learn about the reactant formation rate and the reactant rate of formation effectively.

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Please help, asap!
Will mark as brainliest! ​

Answers

Answer:

a1)gravity

not sure on others

Explanation:

cause the gravity force pulls u down

Answer:

a) i) Gravitational force

ii) Air resistance

b) (I cannot understand what is the question saying but the unit of acceleration is m/[tex]s^{2}[/tex] or [tex]ms^{-2}[/tex])

ii) Because when the parachutist is falling, the gravitational force is pulling him down. But the air resistance is pushing him upwards acting against the gravitational force resulting in a decreasing acceleration.

iii) This is because soon the air resistance catches up with that of the gravitational force and it cancels the gravitational force so he is falling in a constant velocity. This is called terminal velocity when the gravitational force gets cancelled resulting in a free fall where his weight brings him down.

Complete the questions below to help you construct the velocity vs. time graph of a person driving a car
along a straight road. Certain points will be labeled with letters of the alphabet. Please use these points
when referring to the time, displacement, velocity, and acceleration of the car. For example, at point
"B" the velocity would be ve, while t would refer to the time difference between points "B" and "C".
Label all positions on the graph. Any necessary calculations should show work in the spaces provided
and include units.
3/SA
1. Starting at position "A", the driver cruises through town at 13m/s for the first five seconds. The
end of this interval is position "B". Construct the velocity vs. time graph between position "A"
and "B" and determine the variables below.

Answers

A graph type called a velocity vs. time graph compares how velocity changes over time. This kind of graph can be used to determine an object's displacement, acceleration, and velocity as well as its direction of motion.

While speed and velocity are similar, they are not the same. Velocity is a vector quantity with direction. There is a magnitude, a direction, and units for every vector quantity. The change in displacement, another vector, over time is referred to as velocity. Speed is a scalar quantity with no direction that calculates how quickly something moves. By dividing the distance by the time, one may calculate speed.

As a result, in a graph of speed vs time, the slope corresponds to acceleration, whereas the area under the curve corresponds to distance rather than displacement.

The driver of an automobile moves onto the highway. They must first accelerate and move into the right lane in order to merge. After a few miles of continuous pace, they run upon some road construction. They slow down, which regrettably causes them to sit in halted traffic for the following few seconds.

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in the movie thelma and louise, the two actresses drove off a cliff at the end. in preparation for the scene, their stunt doubles determined that the cliff was 50.0 m high. the director wants the car to land 90.0 m from the base of the cliff close to the camera location. how fast must the car be traveling in order to land at this location?

Answers

The car must be travelling at a speed of 28.21 m / s in order to land 90 m from the base of a 50 m high cliff.

According to Equations of motion,

s = ut + 1 / 2 at²

s = Distance

u = Initial velocity

t = Time

a = Acceleration

In vertical motion,

s = 50 m

u = 0

a = 9.8 m / s²

50 = 0 + 1 / 2 * 9.8 * t²

t² = 50 / 4.9

t² = 10.2

t = 3.19 s

In horizontal motion,

s = 90 m

a = 0

90 = 3.19 u + 0

u = 90 / 3.19

u = 28.21 m / s

Therefore, the initial speed of the car must be 28.21 m / s

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URGENT!! ILL GIVE
BRAINLIEST! AND 100 POINTS

Alex brings a bag of trail mix to
school. He empties the bag
and measures the total mass
of the trail Then he separates
the nuts, chocolate, and raisins
into individual piles. He eats
the chocolate and then
measures the mass of the
remaining two piles. He
records his data in the table

What was the mass of the
chocolate that Alex ate?

Answers

The mass of the chocolate is = 11g

A solid metal sphere of radius 4. 00 m carries a total

charge of -2. 40 μC.

How would the answers differ if the sphere was thin

Answers

A solid metal sphere of radius 4. 00 m carries a total charge of -2. 40 μC.

The solid metal sphere would still carry a total charge of -2.40  μC if it becomes thin.

The reason is that charges always remain the same as long as it is placed on the surface of the sphere. The charge will become zero if we place it inside the metal sphere.

As long as the charge stays at the surface of the sphere, it will remain the same even if we make the sphere thin.

This concludes that the solid metal would still carry a total charge of -2.40  μC if it becomes thin.

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