if the separation between two masses is doubled, does the gravitational force between them increase or decrease? By what factor?

Answers

Answer 1
Answer:

When the separation between two masses is doubled, the gravitational force between them decreases by 4.

What is meant by gravitational force ?

Gravitational force is defined as the force of attraction experienced by a body due to the gravity of earth.

Here,

The separation between two masses is doubled.

That means the distance, r₂ = 2r₁

We know that the equation of gravitational force is given by,

F = GMm/r²

where G is the gravitational constant

From the equation, we know that the gravitational force obeys the inverse square law.

That means the gravitational force is inversely proportional to the square of the distance between the masses.

So, F \alpha 1/r²

Therefore,

F₂/F₁ = (r₁/r₂)²

F₂ = F₁(1/2)²

F₂ = F₁/4

Hence,

When the separation between two masses is doubled, the gravitational force between them decreases by 4.

To learn more about gravitational force, click:

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Answer 2
Answer:

Answer:

increase by a factor of 4.

Explanation:

If the separation distance between two objects is doubled (increased by a factor of 2), then the force of gravitational attraction is decreased by a factor of 4 (2 raised to the second power).


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A transverse wave has an amplitude of 2.4m. What is the vertical distance, in meters, between the top of a Crest and the bottom of a Trough?​

Answers

Answer:

4.8 m

Explanation:

A transverse wave is a wave in which the oscillation of the particles occur in a direction perpendicular to the direction of motion of the wave.

The amplitude of a transverse wave is the maximum displacement of the wave with respect to the equilibrium position.

The crest of a wave is the position of maximum displacement on the positive side, while the trough of a wave is the position of maximum displacement on the negative side.

This means that the amplitude of a wave is equal to the distance between a crest (or a trough) and the equilibrium position.

Therefore, we have:

d=2A

where:

d is the distance between the top of a crest and the bottom of a trough

A is the amplitude of the wave

Here we have:

A = 2.4 m

So, we find

d=2\cdot 2.4 = 4.8 m

When a certain isotope, such as Pu-239, is hit by a neutron, it will always splitinto the same smaller nuclei.
true or false?

Answers

Answer:false

Explanation:

Atoms don’t always fission the same way. You saw three different possible fission reactions for U-235

Answer: F

Explanation:

Who gave us close up views of the gas giants and showed us their moons

Answers

Hi there!

The spacecraft widely known for it's beautiful images of the gas giants and its moons is the Voyager spacecraft (Voyager 1 & 2). The Voyagers took advantage of a rare opportunity in which all the gas giant planets were aligned that allowed them to get a gravity assist from each planet allowing for extremely close pictures and extremely high speeds on the spacecraft. 

Explain the flow of electrons from the battery through the circuit

Answers

Answer:

Electrons are negatively charged, and so are attracted to the positive end of a battery and repelled by the negative end. So when the battery is hooked up to something that lets the electrons flow through it, they flow from negative to positive.

Explanation:

What are two ways that the Earth's atmosphere is important to life on Earth?

Answers


1).  It has oxygen in it, of which we need a steady supply
in order to stay alive.

2).  It has pressure, which prevents us from boiling away
and blowing up like balloons.

It keeps objects from easily reaching the surface and destroying earth it also locks in heat

I have an object that I want to know when it was made. I calculate that the object contains 0.12g of Iodine-131 but started with 60g. How old is my object?

Answers

Answer: 71.72 days

Explanation:

This problem can be solved using the Radioactive Half Life Formula:

A=A_(o).2^{(-t)/(h)}(1)  

Where:  

A=0.12 g is the final amount of Iodine-131

A_(o)=60 g is the initial amount of Iodine-131

t is the time elapsed  

h=8 days is the half life of Iodine-131

Knowing this, let's substitute the values and find t from (1):

0.12 g=(60 g)2^{(-t)/(8 days)}(2)  

(0.12 g)/(60g)=2^{(-t)/(8 days)}(3)  

Applying natural logarithm in both sides:

ln((0.12 g)/(60g))=ln(2^{(-t)/(8 days)})(4)  

-6.21=-(t)/(8 days)ln(2)(5)

Finding t:

t=71.72 days