if the distance between a spaceship and the center of the earth is increased from one earth radius to four earth radii, the gravitational force acting on the spaceship becomes approximately?

Answers

Answer 1

The gravitational force acting on the spaceship becomes approximately 1/16 of the initial gravitational force between the earth and the spaceship.

What is gravitational force?

Each object having mass attracts other objects having mass towards itself with a certain force known as Gravitational Force. Therefore, this force can be described as a study of the attraction between two masses.

The magnitude of Gravitational force has an inverse relationship with the square of the distance between the center of the respective masses and is directly proportional to the multiplication of the masses. Therefore, the gravitational force can be written as:

\(\displaystyle F= G\frac{M_1M_2}{r^2}\)

If the distance between a spaceship and the center of the earth, R = 4r

\(\displaystyle F'= G\frac{M_1M_2}{R^2}\)

\(\displaystyle F'= G\frac{M_1M_2}{(4r)^2}\)

\(\displaystyle F'= G\frac{M_1M_2}{16r^2}\)

\(\displaystyle F'= \frac{1}{16}F\)

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Related Questions

A ball hits a wall horizontally at 6m/s and rebounces at 4.4m/s the ball is in contact with wall for 0.04 sec. what is the acceleration.

Answers

Answer:

Acceleration (a) = 40 m/s²

Explanation:

Given:

Initial velocity (u) = 6 m/s

Final velocity (v) = 4.4 m/s

Time taken (t) = 0.04sec

Find:

Acceleration (a) = ?

Computation:

We know that,

⇒ v = u + at

a = (v - u) / t

⇒ Acceleration (a) = (4.4 - 6) / 0.04

⇒ Acceleration (a) = (-1.6) / 0.04

Acceleration (a) = 40 m/s²

The function s(t) = 9 – 15t + 8t² describes the distance s from the origin at time t of an object in rectilinear motion. Find the velocity v of the object at any time t. (Use symbolic notation and fractions where needed.) v(t) = When is the object at rest? (Use symbolic notation and fractions where needed.) t = The function s(t) = 9 – 15t + 8t² describes the distance s from the origin at time t of an object in rectilinear motion. Find the velocity v of the object at any time t. (Use symbolic notation and fractions where needed.) v(t) = When is the object at rest? (Use symbolic notation and fractions where needed.) t =

Answers

At time t = 15/16, the object reaches a state of zero velocity, indicating a momentary pause in its motion. Prior to this time, the object moves in one direction, while after this time, it changes direction and moves in the opposite direction. The value t = 15/16 represents the specific moment when the object transitions from one direction to another and experiences a brief period of rest.

To find the velocity v(t) of the object at any time t, we differentiate the given distance function s(t) = 9 - 15t + 8t² with respect to time:

v(t) = d/dt (9 - 15t + 8t²)

Applying the power rule of differentiation, we obtain:

v(t) = -15 + 16t

Therefore, the velocity v(t) of the object at any time t is given by v(t) = -15 + 16t.

To determine when the object is at rest, we set the velocity v(t) equal to zero and solve for t:

-15 + 16t = 0

Adding 15 to both sides of the equation, we have:

16t = 15

Finally, dividing both sides by 16, we find

t = 15/16

Hence, the object is at rest when t = 15/16.

This means that at time t = 15/16, the object's velocity is zero, indicating that it is momentarily stationary. Before this time, the object is moving in one direction, and after this time, it is moving in the opposite direction. The value t = 15/16 represents the specific point in time when the direction of motion changes, and the object is at rest for an instant.

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If 30 wave crests pass by you in 10 seconds, what is the wave’s frequency?

Answers

You would just divide the number of wave crests by the number of seconds so the answer would be 3

A complete electric circuit includes a voltage source, current, wires, and something to _________ the flow of current.

Answers

Answer:

If you ground the flow of current like the last part of your question states you will not have a complete circuit as the circuit will open on a short circuit. To make a complete circuit operate you need a power source, an overload device to protect the conductors of the circuit, conductors to carry the current and a load across the power source which causes the current to flow in the circuit.

Explanation:

Leave any one of these things out and you will not have a complete circuit.

A complete electric circuit includes a voltage source, current, wires, and load to flow the current.

What is load in an electric circuit?

An electrical load can be described as an electrical component of a circuit that consumes electrical power such as electrical appliances, bulbs, and lights. The electrical load may also refer to the power consumed by a circuit. An electrical load is opposed to a power source, such as a battery, which produces power.

If an electric circuit contains an output port, a pair of terminals that generates an electrical signal, the circuit connected to this terminal is the load. Load influences the performance of circuits according to the output voltages or currents, such as voltage sources, and amplifiers.

Mains power outlets supply power at constant voltage, with electrical appliances connected to the power circuit making up the load. When a high-power device switches on, it drastically reduces the load impedance.

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why dull objects heat up faster than shiny objects......answer should not be from gooooggglee​

Answers

Answer:

Shiny objects don't absorb heat as well as dull objects. Shiny objects reflect heat or they reflect more heat then absorb it. So the heat thats being hit on a shiny object is being reflected instead of being absorbed. Dull objects are better at aborbing heat. So that makes dull objects heat up faster than shiny objects, since shiny reflects more and dull doesn't as much.

Explanation:

I hope it helps! Have a great day!

pan~

(b) Sea level rise is widely acknowledged to be a key consequence of climate change. The Ministry for the Environment (2015) projections are for around 0.7 m to 1.9 m of sea level rise by 2050 under RCP2.6 to RCP8.5.
(i) Briefly explain the two main mechanisms involved in sea level rise, and which one will dominate under the RCP8.5 scenario.
(ii) Sea walls (also know as "hard defences") are an engineering option preferred by some coastal human communities. What are the potential impacts on neighbouring communities of sea walls?

Answers

The two main mechanisms involved in sea level rise are thermal expansion and the melting of land-based ice. Hard defenses can provide protection against rising sea levels and coastal erosion for the communities located directly behind them, they can have potential impacts on neighboring communities.

As the Earth's oceans absorb heat from the atmosphere, the water expands thermally, leading to an increase in sea level.

Melting of land-based ice refers to the melting of glaciers and ice sheets, such as those in Greenland and Antarctica.

Under the RCP8.5 scenario, which represents a high greenhouse gas emissions trajectory, the dominant mechanism of sea level rise is expected to be the melting of land-based ice.

The increased temperature and subsequent accelerated melting of ice sheets and glaciers would contribute significantly to rising sea levels.

Hard defenses can provide protection against rising sea levels and coastal erosion for the communities located directly behind them, they can have potential impacts on neighboring communities.

Some of these impacts include Increased erosion, altered wave patterns, loss of coastal access, coastal squeeze, and visual and aesthetic impact.

It is essential to consider these potential impacts on neighboring communities when evaluating the suitability and long-term effects of implementing sea walls as coastal protection measures.

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A high surface tension results from _____.

Answers

Answer:

Capillary Action.

Explanation:

Capillary action is the ability of a liquid to flow in narrow spaces without the assistance of, or even in opposition to, external forces like gravity.

A train moves from rest to a speed of 25 m/s in 30.0 seconds. What is its acceleration?
Please provide the formula and the working

Answers

Answer:

Explanation:

The equation for acceleration is

\(a=\frac{v_f-v_0}{t}\) where vf is the final velocity and v0 is the initial velocity. For us, the final velocity is 25 m/s and the initial is 0 because the train started from resting position. Filling in and solving for a:

\(a=\frac{25-0}{30.0}\) so

a = .83 m/s/s

Question: Copernicus Said That T He Rotation Of The Earth On Its Axis Caused The O A Daily Motions In The Heavens. B Phases Of The Moon. OC Retrograde Motion Of The Planets O D Eclipses Of The Moon. O E Motion Of The Sun Along The Ecliptic. In Comparison To The Copernican Theory, The Ptolemaic Theory Made Predictions That Were Of O A Much Higher Accuracy OB Much

Answers

The correct option is C, Copernicus Said That T He Rotation Of The Earth On Its Axis Caused the Retrograde Motion Of The Planets.

The correct option is B, In Comparison to the Copernican Theory, The Ptolemaic Theory Made Predictions that were of much less accuracy.

Retrograde motion is the apparent backward motion of a planet in its orbit, as viewed from Earth. This phenomenon occurs as a result of the relative positions of Earth and the planet in question, as both planets move in their orbits around the Sun. Retrograde motion is an illusion, as it is not actually caused by any change in the planet's direction or speed of travel. Instead, it is due to the difference in the length of time it takes for Earth and the other planet to complete their orbits around the Sun.

During retrograde motion, the planet appears to move backwards against the backdrop of the stars for a period of weeks or months. This phenomenon was first observed by ancient astronomers, who were puzzled by the strange behavior of the planets in the sky. Today, retrograde motion is well understood and can be predicted with a high degree of accuracy.

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Complete Question: -

Copernicus Said That T He Rotation Of The Earth On Its Axis Caused the

A. Daily Motions In The Heavens. B Phases Of The Moon. C. Retrograde Motion Of The Planets D. Eclipses Of The Moon. E. Motion Of The Sun Along The Ecliptic.

In Comparison To The Copernican Theory, The Ptolemaic Theory Made Predictions That Were Of

A. Much Higher Accuracy  B. much less accuracy C. about the same accuracy

to move a figure in any direction without rotation

Answers

Translation is one of geometry transformation which is used to move a figure in any direction without rotation.

Definition of Geometry Transformation

Transformation means changing a structure to increase, decrease or rearrange its elements. Meanwhile, geometry means a branch of mathematics that explains the nature of lines, angles, planes, and space.

Based on these two definitions, geometric transformations can be concluded as changes in the shape of a line, angle, space, and plane.

In everyday life, this geometric transformation is usually used to create works of art and architectural designs.

About Translation (Shift)

Translation or shift is a type of geometric transformation where there is a displacement or shift from a point to a certain direction in a straight line plane. As a result, every plane in the straight line will also be shifted in a certain direction and distance.

Translation basically only changes the position, not the shape and size of the field.

A simple example of translation is an event that occurs on a slide. Where the same person with a field changes positions from the starting point (start of the slide) and the ending point (end of the slide). Another example is a vehicle traveling on a straight road, from this incident it can be seen that the vehicle which is an object does not change size but only changes places.

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Researchers have found that the larvae of all North American firefly species glow as a warning sign to ward off predators. However, the presence and use of lighting organs in adult fireflies vary greatly. Some species use glowing or light flashes as mating signals, while other species produce pheromones as mating signals and do not glow at all. Discuss how the physical characteristics and mating behavior of North American fireflies support the theory of speciation. In your discussion, provide a hypothesis to explain the driving force behind the differences in mating signals among the species.

Answers

Explanation:

The theory of speciation confirms what happens with fireflies, only fireflies that are part of the same species can reproduce among themselves, which means that fireflies that use pheromones as mating signals will attract fireflies that use that same form or mechanism of reproduction.

Some mechanisms that allow this type of differentiation or speciation to occur are: seasonal or geographic isolation and sexual isolation due to behavior or conduct.

Speciation allows the formation of new populations of organisms that share the same physiological and genetic characteristics. Therefore, the adult fireflies that shine as a mating signal are possibly found in the same geographical position and their physiological and genetic characteristics are compatible with those of his own species.

Satellite A has a mass of 1. 5x10^3 kilograms and is traveling east at 8. 0x10^3 meters per second. Satellite B is traveling west at 6. 0x10^3 meters per second. The satellites collide head-on and come to rest. What is the mass of satellite B?

Answers

The mass of satellite B is equal to 2 X 10³ Kg.

Mass of satellite A = m = 1.5 X 10³ Kg

Mass of satellite B = m'

Velocity of satellite A = v = 8 X 10³ m/s

Velocity of satellite B = v' = 6 X 10³ m/s

To find mass of satellite B = m' =

Using the theorem of conservation of linear momentum we get,

= momentum of satellites initially = momentum of satellites finally

= mv + m'v' = m(0) + m'(0)

= mv + m'(-v') = 0

= mv = + (m'v')

= 1.5 X 10³ X 8 X 10³ = m' X 6 X 10³

= m' = ( 1.5 X 10³ X 8 X 10³ ) / 6 X 10³

= m' = 2000 Kg

Thus, mass of satellite B is 2 X 10³ Kg.

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A car with a mass of 1,500 kg is accelerating at a rate of
2.0 m/s². If the force of wind resistance is 200.0 N, how
much force does the ground exert on the tires to propel
the car forward, assuming the tires do not slip?

Answers

Answer:

The net force acting on the car is

3

×

10

3

Newtons.

Hope this helps you

Explanation:

Force is defined as the product of the mass of the body and its aaceleration,

F

=

m

a

Substituting the above given values we get,

F

=

(

1500

k

g

)

(

2.0

m

/

s

2

)

=

3000

N

=

3

×

10

3

N

.


3. Eva applies 40 N force to move her bookcase 3 m, how much work did Eva do?

Answers

The work done by Eva is 120 J.

Explanation:

Given:

F = 40 N

d = 3 m

Required:

Work

Equation:

W = Fd

where: W - work, J

F - force, N

d - distance, m

Solution:

W = Fd

W = (40 N)(3 m)

W = 120 Nm or 120 J

Final Answer:The work done by Eva is 120 J.

How harmful are the emissions from cosmetics, hygiene, and cleaning products?
Claim
Evidence 1
Evidence 2
Evidence 3
Reasoning

Answers

The packaging used in the beauty sector is less functional and more ornate.  The packaging waste generated by the cosmetics industry accounts for around 70% of all waste, or 20 billion units annually.

Thus, Lipstick, shampoo, and body wash are discarded after being used up. There is very little recycling. Currently, the oceans get 8 million tonnes of plastic annually and cosmetics.

Since plastic is not biodegradable, it will never decay. Instead, it disintegrates and fragments into miniscule sizes via a process called "photodegradation."  and cosmetics.

The length of this procedure varies based on the type of plastic used, from 100 to 500 years. The more hazardous and challenging it is to clean up, the smaller the plastic becomes.

Thus, The packaging used in the beauty sector is less functional and more ornate.  The packaging waste generated by the cosmetics industry accounts for around 70% of all waste, or 20 billion units annually.

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A car has a mass of 1000 kg. It is driving to the right.
Draw a free body diagram showing the forces acting on it.
Find it’s weight on Earth.

How do I even draw a body diagram? Please help.

Answers

Answer:

Explanation:

What is a free body diagram?

Answer: a force diagram is a graphical illustration used to visualize the applied forces and resulting reactions on a body in a given condition

Drawing a free-body diagram for this problem

Answer: Look at the attached picture, ask me any questions if you are still confused. It is a little messy since I didn't have my pen.

Find its weight on Earth

Answer: The weight is dependent on the mass of the object and the gravitational constant on the planet. The gravitational constant, in this case, is 9.8.

   so the weight = mass * gravitational constant = m * g = 1000 * 9.8

                          = 9800 N

Hope that helps!

A car has a mass of 1000 kg. It is driving to the right. Draw a free body diagram showing the forces

If the near point of your eye is at 75 cm, you have A) Myopia and you need converging lens to correct your vision. B) Myopia and you need diverging lens to correct your vision. C) Presbyopia and you need diverging lens to correct your vision. D) Hyperopia and you need converging lens to correct your vision. E) Hyperopia and you need diverging lens to correct your vision.

Answers

If the near point of your eye is at 75 cm, you have option (C) Presbyopia and you need diverging lens to correct your vision

If the near point of your eye is at 75 cm, it means that your eye has difficulty focusing on near objects, which is a common symptom of presbyopia.

Presbyopia is a condition in which the lens of the eye loses its flexibility, causing difficulty in focusing on near objects. As a result, people with presbyopia need to use reading glasses or bifocal lenses to correct their vision.

Therefore, the correct option is C) Presbyopia and you need diverging lens to correct your vision.

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A fire truck is responding to an emergency. It accelerates from 0 to 66 km/hr in 11 seconds. What is its rate of acceleration? Help pls

Answers

Answer:

a= 66/11

 =6ms^-2

Figure 5 shows a ray of light in an optical fibre.
Figure 5
Inside of optical fibre
What is the name given to the dotted line on Figure 5?
[1 mark]

Answers

         The technology that sends information as light pulses via a glass or plastic fiber is known as fiber optics, or optical fiber. These glass fibers can range in quantity from a few to several hundred in a fiber optic cable. The glass fiber core is encircled by yet another glass layer known as cladding.

What fiber optics does and how it works?

         In fiber optics, data is sent as pulses of light, or photons, that travel over a fiber optic cable. Incoming light is bent at a specific angle due to the differing refractive indices of the glass fiber core and cladding.

       Total internal reflection is the method by which light signals traveling through fiber optic cable bounce off the core and cladding in a series of zigzag motions. Due to the thick glass layers, the light signals move around 30% slower than the speed of light instead of at the speed of light.

     Fiber optic transmission sometimes needs repeaters at a distance to renew, or amplify, the signal throughout its path. By converting the optical signal to an electrical signal, processing that electrical signal, and then retransmitting the optical signal, these repeaters regenerate the optical signal.

      Up to 10 Gbps transmissions can currently be supported by fiber optic connections. A fiber optic cable often gets more expensive as its bandwidth capacity increases.

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Figure 5 shows a ray of light in an optical fibre.Figure 5Inside of optical fibreWhat is the name given

ILL GIVE 40 POINTS TO THE FIRST PERSON TO ANSWER

What is the most likely evidence of an energy transformation taking place when a wire that is twisted and turned breaks? (5 points)

1: Reddish glow is emitted as kinetic energy is transformed into thermal energy

2: Reddish glow is emitted as kinetic energy is transformed into electrical energy

3: Broken end of the wire turns hot as kinetic energy is transformed into thermal energy

4: Broken end of the wire turns hot as kinetic energy is transformed into electrical energy

Answers

Answer:

It is 3

Explanation:

the reason its 3 is the wire is electrical and it heats up like a phone screen after using it for too long and its kinetic energy to thermal because the energy in the wires stop when they are broken because there is no way the energy can jump the wires

URGENT!! ILL GIVE
BRAINLIEST! AND 100 POINTS

The chemical equation shown below is not balanced (it does not follow the Law of Conservation of Matter).

URGENT!! ILL GIVEBRAINLIEST! AND 100 POINTSThe chemical equation shown below is not balanced (it does

Answers

The answer is 2 because the Hydrogen atom on the right needs 2 to balance with the one on the left

The [ Select ] the distance between the effort force and the fulcrum of a lever, the [ Select ] force is needed to complete the work. The [ Select ] the distance between the effort force and the fulcrum of a lever, the [ Select ] the mechanical advantage, making the work easier.

Answers

Answer:

Answer in explanation

Explanation:

What we want to do here is to basically put in words in the select pane that could actually beat complete the question.

The higher the distance between the effort and the function of a lever, the higher the force needed to complete the work.

The smaller the distance between the effort force and the fulcrum of a lever, the smaller the mechanical advantage , making the work easier

Consider a block on frictionless ice. Starting from rest, the block travels a distance din
time t when force Fis applied. If force 4F is applied, the distance the block travels in
time tis:

Answers

Answer:

The distance is now 4d

Explanation:

Mechanical Force

According to the second Newton's law, the net force exerted by an external agent on an object of mass m is:

F = m.a

Where a is the acceleration of the object.

The acceleration can be calculated by solving for a:

\(\displaystyle a=\frac{F}{m}\)

Once we know the acceleration, we can calculate the distance traveled by the block as follows:

\(\displaystyle d = vo.t+\frac{at^2}{2}\)

If the block starts from rest, vo=0:

\(\displaystyle d = \frac{at^2}{2}\)

Substituting the value of the acceleration:

\(\displaystyle d = \frac{\frac{F}{m}t^2}{2}\)

Simplifying:

\(\displaystyle d = \frac{Ft^2}{2m}\)

When a force F'=4F is applied and assuming the mass is the same, the new acceleration is:

\(\displaystyle a'=\frac{4F}{m}\)

And the distance is now:

\(\displaystyle d' = \frac{4Ft^2}{2m}\)

Dividing d'/d:

\(\displaystyle \frac{d' }{d}=\frac{\frac{4Ft^2}{2m}}{\frac{Ft^2}{2m}}\)

Simplifying:

\(\displaystyle \frac{d' }{d}=4\)

Thus:

d' = 4d

The distance is now 4d

What are the 3 ideal gas laws?

Answers

Answer:

Boyle's law, Charles's law, and Avogadro's law

Explanation:

The 500 pages of a book have mass of 250kg. What is the mass of each page in kg

Answers

Answer:

.5 kg per page

Explanation:

250/500= .5 kg

Answer: 5kg for each page

Explanation:

Which statement indicates that motion has occurred?

A. The reference point has changed.

B. The position of the object has changed.

C.The object has not changed.

D. The object being described has changed​

Answers

The answer is b i think

Which of the following units can be used in measure work?​

Answers

Answer:

the units are joule and foot pound

one joule is defined as the amount of work done when a force of one Newton is exerted through a distance of one meter


An object falling from 50m will have
potential than an object falling from 30m
:Equal
:Lower
:Greater
:Less

Answers

Answer:

Greater

Explanation:

Distance (height) and mass determine the amount of Potential energy in an object.

The earth revolves around the sun due to _____ force between them

Answers

pull of earths gravity.........

a car having a mass of 10kg accelerates from 10m/s square to 16 m/s square in t seconds? What is the force exerted by the car?​

Answers


using F=ma (force = mass * acceleration), the force needed would be 10 kg * 16

10 * 16 = 160, so the force would be 160N.

Answer:

The answer is 160 N

Explanation:

I did the test

Hope this helps :)

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