demonstrate how you can derive our 9.8m/s^2 from Newton's general law of gravity.

Answers

Answer 1

Answer:

[tex]g=G\frac{m_E}{r^2}[/tex]

Explanation:

Using Newton's Law of Universal Gravitation, we can write:

[tex]F=G\frac{m_E}{r^2}[/tex], where [tex]G[/tex] is gravitational constant [tex]6.67\cdot 10^{-11}[/tex], [tex]m_E[/tex] is Earth's mass, and [tex]r[/tex] is Earth's radius.

Using these measured values, we have:

[tex]F=6.67\cdot 10^{-11}\frac{5.97\cdot 10^{24}}{(6.38\cdot10^6)^2},\\g\approx \fbox{$9.8\:\mathrm{m/s^2}$}[/tex].


Related Questions

ill mark as brainliest if given the option

Answers

Answer:

[tex]36 g/cm^{3}[/tex]

Explanation:

In order to find the density, the problem says we need to find the volume first.

Since we know that the sample of gold is a perfect cube, we know that the side lengths will all be the same. Since all the side lengths will be 3, we can take that value and cube it to find the volume.

[tex]3^{3} = 27[/tex]

Now that we know the volume is 27 cm³, we can solve find the density.

[tex]Density = \frac{Mass}{Volume}[/tex]

[tex]Density = \frac{972g}{27cm^{3} } = 36 g/cm^{3}[/tex]

Therefore, the density of the sample is 36 g/cm³.

If Steve throws a football 40 m and it travels for 3 seconds, what was the balls velocity?​

Answers

Answer:

13.4 m/s^2

Explanation:

40 divided by 3 equals 13.3 repeating.

Sandra takes a class field trip to a geology museum. She sees an interesting sample of igneous rock. She wonders if the material in this rock sample could have come from a sedimentary rock formation at Earth’s surface millions of years ago. Is this possible? Can sedimentary rock change into igneous rock?

Answers

Answer:

Yes

Explanation:

It is possible for sedimentary rocks to be converted to igneous rocks. Under conditions of high temperature and pressure, sedimentary rocks can be broken down into igneous rock by melting this rock type.

When the rock is broken down, it forms melt which when cooled and solidifies will form igneous rocks.

Sedimentary rocks are formed from the breaking down of pre-existing rocks through the action of weathering, erosion and sediment transportation. Within a basin, the sediments are compacted and lithified.

When this is subjected to intense pressure and temperature, the rock hardens and might further break down to melt.

EARS: Two ears (E) is dominant to one ear (e). Both parents are heterozygous.

Answers

Answer:

what's the question

Explanation:

I don't understand the question

blank is a measure of the percentage of water vapor in the air in a particular area

a. temperature
b. dew
c.point
d. relative humidity

Answers

Answer:

Relative humidity is a measure of the percentage of water vapor in the air in a particular area

Answer: relative humidity

Explanation:

What does the number of valence electrons an atom has have to do with whether the atom
will gain electrons or lose electrons?

Answers

Answer:

A valence number of 1 means that an alement will generally react to lose one electron to obtain a full outer shell.

Group two elements are assigned a valence number of 2. A valence number 2 means that a group two elements will generally react to lose two electrons to obtain a full outer shell.

Explanation:

Hope it helps

A force of 25 newtons east and a force of 25
newtons west act concurrently on a 5.0-kilogram
cart. What is the acceleration of the cart?

A. 0 m/s2
B. 0.20 m/s2 east
C. 1.0 m/s2 west
D. 5.0 m/s2 east

Answers

Answer:

0

Explanation:

the forces gets cancelled off. hence when applying F=Ma, F=0 therefore a=o

The acceleration of the cart is 0m/s². Option A is correct.

According to Newton's second law of motion:

[tex]\sum F=ma[/tex]

m is the mass of the object

a is the acceleration

If a force of 25 newtons east and a force of 25  newtons, then the sum of force is expressed as:

[tex]\sum F = 25 - 25 =0N[/tex]

Get the acceleration

[tex]a=\frac{\sum F}{m} \\a=\frac{0}{5} \\a=0m/s^2[/tex]

Hence the acceleration of the cart is 0m/s²

Learn more here: https://brainly.com/question/24175401

What are atoms doing that cause fireworks to change colors

Answers

Answer:

Heating atoms causes electrons to move from their ground-energy level to a higher energy level. When the excited electrons move to a lower energy level, they emit light with a specific energy and characteristic color.

Explanation:

Look it up

A distinct chemical reaction leads to the varied colors we perceive. Below you may find a further explanation.

The colors of explosions generated through the usage of metal salts were indeed distinct from table salts as well as chemical 'salt' corresponds toward any metallic or non-metallic compound's atomic complex.Several of these chemicals generate strong burning colors, making them suitable for explosives materials.

Learn more about atoms here:

https://brainly.com/question/18327624

Time and velocity are both vectors T/F

Answers

Time and velocity are both vectors T/F

A geosynchronous orbit is an orbit in which the satellite remains over the same spot on the planet

Answers

Answer: True.


Explanation: I’m not sure what’s the question here so I’m assuming it’s a true of false question.

Hope this helps! ^^

Answer:

Yes, the electromagnet still affects the compass needle.

Explanation:

the electromagnet still affects the compass needle.

A speed boat travels 200 miles at a speed of 20 miles/hr. How much time will it take to
travel the 200 miles?

Answers

Answer:it will take 10 hours

Explanation: The way we get this answer is if the boat travels 200 miles at 20 mph that means that every 20 miles the boat traveled an hour would pass. Using this we can see that 20 fits into 200, 10 times, meaning that the time it would take to travel would be 10 hours.

The time it will take to travel 200 miles is 10 seconds

The calculation can be done as follows

= 200/20

= 10 seconds

Hence the amount of time it will take the speed boat to travel 200 miles is 10 seconds

Please see the link below for more information

https://brainly.com/question/18322054?referrer=searchResults

Answer these questions correcty first who answers it all correct gets cash

Answers

there is no questions? lol

Answer:

I am extremely sorry, but I cannot answer your questions, because there aren't any.

Explanation:

I don't see any questions, or else my eyes are not working properly.

HELP PLZ!!! what’s the answer?

Answers

Answer: 8 g/cm^3

Explanation:

true or false

one ton is equal to 10 quintal​

Answers

Answer:

True

Explanation:

1 ton = 10 quintals

A 7.2 kg bowling ball is accelerated with a force of 112,5 N.

What is the acceleration of the bowling ball?

Answers

Answer:

15.625 m/s

Explanation:

112.5/7.2 = 15.625 m/s

1) A tourist accidentally drops a camera from a 50.0 m high bridge. What is the speed of the camera as it hits the water? *
2) Determine the total displacement of a car that is initially at 10 m/s but then accelerates at 2 m/s^2 for five seconds. *
3) A car travels down a long straight road at 20 km/h for 0.60 h. How far does the car travel during this interval? *
4) A skateboarder slides down a ramp starting from rest and moving to 10 m/s in 12 seconds. How far will the skater travel during this time interval?
5) A runner travels south along a straight path for 5.5 h with an average velocity of 1.75 km/h, then travels south for 7.5 h with an average velocity of 0.90 km/h. What is the hiker’s displacement for the total trip? *
6) A runner accelerates from rest for 3.2 seconds. If the runner travels 24.6m, what is the runner's acceleration? *
7) A car moving at 5 m/s accelerates at 0.2 m/s^2 for one minute. How fast is the car moving? *


Can someone please answer these questions for me :))

Answers

Question:

1) A tourist accidentally drops a camera from a 50.0 m high bridge. What is the speed of the camera as it hits the water? *

Answer:

28.0 m/s

Would you do more work moving 100 boxes weighing 12N for 1m or moving a 1000N box, 30cm? Support your answer.

Answers

Answer:

The second box

Explanation:

Work done is the force applied to move a body through a particular distance.

Work done  = Force x distance

For the first box:

Weight  = 12N

Distance  = 1m

  Work done  = 12 x 1 = 12J

For the second box;

 Weight  = 1000N

 Distance  = 30cm  = 0.3m

 Work done  = 1000 x 0.3  = 300J

The second box has a higher work done.

These types of electromagnetic waves are listed in order of decreasing
frequency: gamma rays, visible light, infrared, and radio. Which type has the
greatest energy?
A. Radio
B. Infrared
C. Visible light
D. Gamma rays

Answers

The answer you’re looking for is
D. Gamma rays
Enjoy the rest of your day/night :)

Calculate the speed of a car that travels 250 miles in 4.0 hours. (remember your unit)

Answers

250/4= 62.5 mph

to find the mph of a car, you need to divide the number of miles traveled by the hours that it took to travel that many miles

What might a scientist who studies thermodynamics experiment with in order to better understand cold

Answers

Answer:

A scientist who studies thermodynamics might experiment with the instant ice packs where you have to pop a bag on the inside to create a chemical reaction to make it cold.

The height has a
distance of 5
meters if it takes
2.5 seconds to
hit the ground
what is Gravity?

Answers

Answer:

2.6

Explanation:

7 times

drop a paper a piece of thermocol and a piece of plastic from a height of 10 to 15 feet not the time for each object to hit the ground why does paper take more time than thermocol and thermocol more than the plastic piece make the paper to fell down in such a way that it should hit the ground before all of them and how does it happen

Answers

Answer:

Explanation:

According to Newton's law of gravitation , all objects should take same time to fall from same height , but it does not happen when we see a paper , a thermocol and a plastic paper to fall .

It happens due to air resistance . In case of paper , this is most pronounced , so it falls slowest . In case of plastic paper , the resistance is least so it falls fastest .

If we squeeze the piece of paper to make a lump so that it does not remain flat , it will fall the fastest , because in this case the air resistance on it becomes the least .

In which of the following would you find the highest population density?
Question 1 options:
A. In a region with little to no rainfall
B. Along the Amazon River
C. In the peak of the Andes Mountain
D. In the Atacama Desert



get the right answer and i will give you points

Answers

I would think B, along the Amazon River. This is because of the warm climate ad lots of rainfall.

B along the Amazon river

A force of 50 N begins to move a block of wood weighing 100 N on a
rough horizontal surface. Find the coefficient of static friction

Answers

Answer:

0.5

Explanation:

From the question given above, the following data were obtained:

Force (F) = 50 N

Weight (W) = 100 N

Coefficient of static friction (μ) =.?

The coefficients of static friction (μ) is simply defined as the ratio of force (F) to the normal reaction (N). Mathematically, it can be expressed as:

μ = F / N

With the above formula, we can obtain the coefficient of static friction as follow:

Force (F) = 50 N

Weight (W) = 100 N

Coefficient of static friction (μ) =.?

μ = F / W

μ = 50 / 100

μ = 0.5

Thus, coefficient of static friction is 0.5

A box is pulled along a floor by a force of 3.0 N. The friction acting on the box is 1.0 N, as shown. How much kinetic energy does the box gain in moving 2.0 m

Answers

Answer:

4 J

Explanation:

From the image attached, we can see 2 horizontal forces acting on the box albeit in opposite directions.

Now, the net force will be;

F_net = 3 - 1

F_net = 2 N

To move a distance of 2 metres, kinetic energy is;

K.E = Force × Distance = 2 × 2 = 4 J

How long does it take a earth to rotate on its axis?

Answers

Answer:

23 hours, 56 minutes about 24 hours

Explanation:

(Im sorry if this is wrong please correct me if so. Good Luck)

A car accelerates from rest in a straight line. During the first 14s, the acceleration is uniform and the car reaches the speed of 25m/s. Calculate the acceleration of the car.

Answers

Answer:

25/14 ms-1

Explanation:

apply V=U+AT

1. A car is slowing down at a constant rate from 40 m/s to come to a stop. The acceleration is - 5 m/s2. How
much time will pass before the car is at rest?

Answers

Answer:

           

Explanation:

Please help me




An automobile is driving uphill. Which form of energy is not involved in this process?


electromagnetic

potential

kinetic

chemical

Answers

Question:

An automobile is driving uphill. Which form of energy is not involved in this process?

Choosing:

electromagnetic

potential

kinetic

chemical

Answer:

Electromagnetic

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Answer:Electromagnetic said the person above me wait AYO HEAR ME OUT-

A ramp is used to lift a box into a truck. The distance it is lifted is 1.5m. The box has a mass of 5kg. What amount of work must be completed in order to lift the box?

Answers

Answer:

The work completed is 73.5 Joule

Explanation:

Mechanical Work

Mechanical work is the amount of energy transferred by a force that moves an object by a certain distance. It's a scalar quantity, with SI units of joules.

Being  the force and  the displacement the work is calculated as:

W=F.s

The box of m=5 kg is lifted by a distance of s=1.5 m. The force applied to lift the box is equal to the weight of the box, assuming it's lifted at a constant speed, thus:

F = mg = 5 * 9,8 = 49 N

The work is:

W = 49 N * 1.5 m

W = 73.5 J

The work completed is 73.5 Joule

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