) prove that the acceleration due to gravi
is independent to the mass of the falling body

Answers

Answer 1

Explanation:

Let the mass of the body is m. The gravitational force acting on the object is given by :

[tex]F=\dfrac{GMm}{r^2}[/tex] ....(1)

G is universal gravitational constant

M is mass of Earth

r is the distance between the body

The acceleration of falling objects due to the gravitational force of Earth is equal to the acceleration due to gravity (g).

F = mg ...(2)

g is acceleration due to gravity

From equation (1) and (2) :

[tex]\dfrac{GMm}{r^2}=mg\\\\g=\dfrac{GM}{r^2}[/tex]

Here, M is mass of Earth and r is the distance. Hence, the acceleration due to gravi ty is independent to the mass of the falling body


Related Questions

When you know both the speed and direction of an object’s motion, you know the

Answers

Answer:

When you know both the speed and direction of an object's motion, you know the velocity of the object.

When you know both the speed and direction of an object’s motion, you know the magnitude of the speed and direction in which it is moving.

What is Speed ?

Speed is a rate of change of distance with respect to time. i.e. v =dx÷dt.

Speed can also be defined as distance over time

i.e. speed= distance ÷ time

it is denoted by v and its SI unit is m/s. it is a scalar quantity. i.e. it has only magnitude not direction. ( velocity is a vector quantity, it has both magnitude and direction. when we define velocity, we should know about its direction)

Speed shows how much distance can be traveled in unit time.

As speed is scalar quantity it has nothing to do with the direction. but when magnitude of speed is given and the direction as well, then we can say that a car or body is moving with this much speed at this direction(east, north, west, south).

To know more about Speed, click :

https://brainly.com/question/30462853

#SPJ2

A machine that uses 200 w of power moves an object a distance of 15 m in 25 sec. Find
the force needed and the work done by this machine,

Answers

Answer:dummy

Explanation:

Dum dum

In the following figure identify ‘A’ and ‘B’ which represents different colours of the spectrum. Why does this phenomenon occur?

Answers

Answer:

A is red

B is violet

Explanation:

A has a high penetration power hence greatest frequency and short wavelength in accordance to the diagram above.

The color with greatest frequency is red.

B has the least penetration power as it is greatly refracted in accordance to the diagram which shows that it has least frequency and high wavelength.

The color of least frequency is violet.

How does the number of batteries affect the strength of an electromagnet?

Answers

Answer:

The answer is below

Explanation:

It has been observed that the strength of electromagnets is based on the electrical current passing through their wires.

However, the number of batteries can affect the strength of electromagnets if only the electromagnet's resistance is what's hindering the current.

This can be observed when multiple batteries are connected thereby increasing the degrees of voltage across the electromagnet.

What type of electric current does a power plant generate for use in your home? OA direct alternating OC. repeating OD straight​

Answers

Answer:

Direct current

Explanation:

Because it cannot reverse, and it's optimum for usage by electric home appliances.

Unlike Alternating current which reverses, and can cause electric appliances to burn out.

I’ll mark u as brainlist if you get this right!

Answers

It should be B: 2.0

What is the kinetic energy of a jogger with a mass of 70.8 kg traveling at a speed of 2.4 m/s?

90 points if you get it right :)

Answers

Kinetic energy equation is KE= 1/2mv^2. So plug in the numbers and you get a Kinetic Energy of 203.904 J

22. State any three features of the electroscope.​

Answers

-1- was created in the 1600 by william gilbert
-2-When the charge is positive, electrons in the metal of the electroscope are attracted to the charge and move upward out of the leaves. This results in the leaves to have a temporary positive charge and because like charges repel, the leaves separate. When the charge is removed, the electrons return to their original positions and the leaves relax
3-

An electroscope is made up of a metal detector knob on top which is connected to a pair of metal leaves hanging from the bottom of the connecting rod. When no charge is present the metals leaves hang loosely downward. But, when an object with a charge is brought near an electroscope, one of the two things can happen.

Identify the role of organisms in this food chain.
dragonfly
frog
grass
hawk
mushrooms

Answers

Answer:

the grass is the producer, the mushroom is the decomposer, the dragonfly is the primary consumer, the frog is the secondary, and the hawk is the tertiary consumer.

Explanation:

Hope this helps :)

Answer:

A. Frog

C. Hawk

D. Snake

Explanation:

I just took the test and these answers are right!

How high can a 40 N force move a load, when 395 J of work is done? (Show work)

Answers

Distance = Work / Force
Distance= 395J/ 40N
Distance= 9.875 meters

A 40 N force would move a load 9.875 m high when 395 J of work is done on the load.

What is work done?

The total amount of energy transferred when a force is applied to move an object through some distance

The work done is the multiplication of applied force with displacement.

The SI  unit of work done by an object is Joules.

IJ is the work done when a force of 1 N displaces an object by 1 m .

Work Done = Force * Displacement

For the given problem Force =40N and work done = 395 J

By using the above formula

Work Done = Force * Displacement

395 j = 40 N × height

height =9.875 m

Thus a 40 N force supported by a work done of 395 J moves the load up to 9.875 m height

Learn more about work done

brainly.com/question/13662169

#SPJ2

A Chevy Camaro drives straight off the top level off a parking garage at 13 m/s. If the car landed 90 meters away from the base of the parking garage, how high (height) was the top level?

a200.64

b234.64

c34.64

d134.64

Answers

Answer:

234.64 m

Explanation:

Using the formula for calculating range;

Range R = u√2H/g

u is the speed = 13m/s

H is the maximum height

g is the acceleration due to gravity = 9,8m/s²

R = 90m

Get the maximum height;

90 = 13√2H/9.8

90/13 = √2H/9.8

6.923 = √2H/9.8

square both sides

6.923² = 2H/9.8

469.698 = 2H

H = 469.698/2

H = 234.64

Hence the top level was 234.64 m high.

In a place covered by shadow of cloud sun cannot be seen . Explain with reasons .

Answers

Answer:

Because even though our eyes have a huge dynamic range (ability to pick out details in sharply lit and lesser lit areas simultaneously) than any camera, there's a limit.

When there's strong sunlight, your pupils contract and let less light in, which makes the shadows look darker.

When it's cloudy, your pupils widen and let more light in, which makes the shadows look less dark.

Do some experiments with a camera and you'll soon get the hang of it.

NOTE: Also test HDR (high dynamic range) photography, where the camera takes three or more pictures in quick succession, with different exposure settings, and combines them to get the most detail of both bright and dark areas. The result is more or less what we percieve.


State three uses of dimensions.







Answers

Explanation:

answers.................

Explanation:

dimension are used for

1 we check the homogeneity of a physical equation

2 drive a possible formula for a physical problem

3 To find dimensions of physical constants or coefficients.

A sound wave passes from air into water and then into steel. With each change in medium, the velocity of this wave will a(increase,then decrease b(decrease c(increase d( decrease,then increase ?

Answers

Answer:

a

Explanation:

because it can increase anything

A(n) ____________ stretch is one done where antagonist muscles are used to stretch the muscles. But the _____________ stretch is one that is done that the muscle needs help from something or someone to stretch the muscle.

Answers

Answer: Dynamic - Static Flexibility

Explanation:

Question 5 of 10
Why are magnetic materials attracted to magnets?
A. They become permanent magnets when they are in a magnetic
field,
B. They become temporary magnets when they are in a magnetic
field.
C. They are temporary magnets whether or not they are in a magnetic
field.
D. They are also attracted to Earth's magnetic field, which is always
present

Answers

Answer:

The answer is B

Explanation:

Trust

Which of the following best describes reflection?
a. Reflection is when waves bend around an obstacle.
b. Reflection is when waves bounce off a surface.
c. Reflection is when waves bend.

Answers

B. Reflection is when waves bounce off a surface Ik this because I did it in 7th grade was my favorite unit to learn in school

Reflection is when waves bounce off a surface this because I did it in 7th grade was my favorite unit to learn in school.

What is Reflection?

When two different media come together at an  a wavefront might change direction so that it returns to the first medium, which is known as reflection.

The reflection of light, sound, and water waves are typical examples. According to the law of reflection, the angle at which the wave incident on the surface equals the angle at which it is reflected for specular reflection (such as at a mirror).

Reflection produces echoes in acoustics and is used in sonar. It is crucial to the study of seismic waves in geology. Surface waves in bodies of water are used to observe reflection.

To learn more about reflection, refer to the link:

https://brainly.com/question/30270479

#SPJ2

A hot air balloon holds 7.40 x 107 liters of gas. In order for the hot air balloon to rise into the sky, it must be heated to 120°C. Once the balloon is up in the air, the air needs to be cooled in order for the balloon to land. If the temperature of the balloon is decreased to 40.0°C, what will the new volume of the gas be?

Remember to pay close attention to the units of temperature before beginning your calculations.

Answers

Answer:

2.467×10^7 litres

Explanation:

Using the formula V1/T1 = V2/T2

V1 and V2 are the initial and final volume respectively

T1 and T2 are their respective temperatures

Given

V1 = 7.4×10^7litres

T1 = 120°C

T2 = 40°C

Required

V2

From the formula

V2 = V1T2/T1

V2 = 7.4×10^7(40)/120

V2 = (7.4×10^7)/3

V2 = 2.467×10^7 litres

Hence the new volume of the gas will be 2.467×10^7 litres

What is an insurance premium?*

A.Your monthly payment to your insurer, regardless of whether you use any services
B.A list of the procedures covered by your insurance carrier
C,An added cost you pay in order to receive higher-quality services
D.The amount you pay out-of-pocket for a specific procedure or service

Answers

Answer:

A

Explanation:

In a nutshell, an insurance premium is the payment or installment you agree to pay a company in order to have insurance. You enter into a contract with an insurance company that guarantees payment in case of damage or loss and, for this, you agree to pay them a certain, smaller amount of money

hewoooooo pweese help ill do anything
A bus slows from 40 m/s to a stop in 8 seconds. How far does it travel while braking?

Answers

Answer:

320 m/s

Explanation:

40 miles per second and 8 seconds makes 40 times 8

Two identical peaches, Peach 1 and Peach 2, fall from a cliff at time t=0t=0t, equals, 0 from the same height. Peach 1 is dropped from rest, while Peach 2 is thrown horizontally.
Which graph best describes the vertical displacement of Peach 1 and 2 over time?
Assume the origin of the coordinate system to be the cliff edge.
Choose 1 answer:
Choose 1 answer:

(Choice A)
A
A graph is shown with the vertical axis labeled y and the horizontal axis labeled t. Two lines both start at the origin and slope downwards to the right. The solid line is straight while the dashed line has downward concavity.

(Choice B)
B
A graph is shown with the vertical axis labeled y and the horizontal axis labeled t. Two lines both start at the origin and slope downwards to the right. The dashed line is straight while the solid line has upward concavity.

(Choice C)
C
A graph is shown with the vertical axis labeled y and the horizontal axis labeled t. Two lines both start at the origin and slope downwards to the right with downward concavity. Both lines are coincident.

(Choice D)
D
A graph is shown with the vertical axis labeled y and the horizontal axis labeled t. Two lines both start at the origin and slope downwards to the right with downward concavity. The solid line is shallower than the dashed line.

(Choice E)
E
A graph is shown with the vertical axis labeled y and the horizontal axis labeled t. Two lines both start at the origin and slope downwards to the right with upward concavity. The dashed line is shallower than the solid line.
Report a problem
4 of 9

Answers

Answer: The correct answer is graph A.

Explanation:

See Khan Academy.

Answer: it C

Explanation:

A railroad car is pulled through the distance of 960 m by a train that did 578 kJ of work during this pull.
How much force did the train supply? (Show work)

Answers

Answer:

602.08 N

Explanation:

The force supplied by the train can be found by using the formula

[tex]f = \frac{w}{d} \\ [/tex]

w is the workdone

d is the distance

From the question we have

[tex]f = \frac{578000}{960} \\ = 602.083333...[/tex]

We have the final answer as

602.08 N

Hope this helps you

The force supplied by the train is 602.1 N.

What is force?

This can be defined as the product of mass and the acceleration of a body.

To calculate the amount of force supplied by the train, we use the formula below.

Formula:

W = Fd................. Equation 1

Where:

W = Work done by the trainF = Force supplied by the traind = Distance

Make F the subject of the equation

F = W/d........... Equation 2

From the question,

Given:

W = 578 kJ = 578000 Jd = 960 m

Substitute these values into equation 2

F = 578000/960F = 602.1 N

Hence, The force supplied by the train is 602.1 N.
Learn more about force here: https://brainly.com/question/388851

Which one of the following is not a member of the solar family: (a) Morning Star (b) Evening Star (c) Pole Star (d) Tailed Star plzzz answer this...

Answers

Answer:

Tailed star

Explanation:

Tailed star

what are the harmful effects of drugs in the body?​

Answers

Explanation:

causes hallucinations

causes lung cancer eg cigarettes

causes bad breath

damages the nervous system eg cocaine

Explanation:

Drug use can lead to an addiction. Effects of

drugs on the body can slowly destroy vital

systems and functions. Drug dependence can quickly begin to affect your psychological and physical health, and can also affect your work and social life.

hope it helps!

If the object distance in the following picture were 8.0 m and the image distance were 2.0 m, what is the focal length?
Answer options: 0.63m or 1.6m

Answers

Answer:

where is the picture. .......

Answer:

1.6m

Explanation:

To solve, we must use the equation: 1/f = 1/so + 1/si

f= focal point

so=object's distance

si=image's distance

We put in the numbers we have and we get: 1/f = 1/8.0 + 1/2.0.

1/f =  0.125 + 0.5 (changed the fractions to decimals)

1/f = 0.63 (0.625 rounded to the hundredths)

Now we solve for f:

1 = 0.63f

f = 1/0.63

f = 1.6

The focal length is 1.6m.

Hope this helped!

A child pushes a 100 kg refrigerator with a force of 50 N, but the refrigerator does not move. Suppose the coefficient of static friction between the floor and the refrigerator is 0.4. What is the force due to friction in this scenario

Answers

Answer:

50 N

Explanation:

Since the refrigerator doesn’t move, that means the force of friction equals the amount of force the child exerts on the fridge. If the friction force were greater than the force by the child, the fridge would start accelerating towards the child. If it were less than the force the child exerted, the fridge would start accelerating away from the child. Therefore, the net force must be 0, in this case, the friction force is equal to the force the child exerted, for it to stay at rest (as Newton’s First Law stated).

I hope this helps! :)

Two balloons are charged with an identical quantity and type of charge: -0.0025 C. They are held apart at a separation distance of 8 m. Determine the magnitude of the electrical force of repulsion between them.

Answers

Answer:

F = 878.9 N

Explanation:

The electrostatic force of attraction or repulsion is given by Coulomb's Law as follows:

F = kq₁q₂/r²

where,

F = Force pf repulsion between balloons = ?

k = Coulomb's Constant = 9 x 10⁹ N.m²/C²

q₁ = q₂ = magnitudes of 1st and 2nd charge = 0.0025 C

r = distance between balloons = 8 m

Therefore,

F = (9 x 10⁹ N.m²/C²)(0.0025 C)(0.0025 C)/(8 m)²

F = 878.9 N

The magnitude of the electrical force of repulsion between them is F = 878.9 N

Calculation of the magnitude of the electrical force:

Here we use Coulomb's Law

F = kq₁q₂/r²

Here,

F = Force of repulsion

k = Coulomb's Constant = 9 x 10⁹ N.m²/C²

q₁ = q₂ = magnitudes of 1st and 2nd charge = 0.0025 C

r = distance between balloons = 8 m

So,

F = (9 x 10⁹ N.m²/C²)(0.0025 C)(0.0025 C)/(8 m)²

F = 878.9 N

Hence, The magnitude of the electrical force of repulsion between them is F = 878.9 N

Learn more about force here: https://brainly.com/question/24758639

A 1370-kg small aircraft accelerates along the runway from 7.4 m/s to 37.8 m/s in 5.20 seconds. Determine the net force acting upon the plane. (Assume that its engine/propeller makes no contributes to its forward motion)

Answers

Answer:

8009 N

Explanation:

Given that a 1370-kg small aircraft accelerates along the runway from 7.4 m/s to 37.8 m/s in 5.20 seconds. Determine the net force acting upon the plane. (Assume that its engine/propeller makes no contributes to its forward motion)

According to the definition of acceleration, acceleration is the change in velocity per time taken.

Acceleration a = ( 37.8 - 7.4 )/ 5.2

Acceleration a = 30.4 / 5.2

Acceleration a = 5.846 m/s^2

Force = mass × acceleration

Force = 1370 × 5.846

Force = 8,009 N

Therefore, the net force acting upon the plane is 8009 N. (Assume that its engine/propeller makes no contributes to its forward motion)

Why does sound travel more quickly through a solid than through a liquid or a gas?

Answers

Answer:

things move quickly through a liquid

Explanation:

Things move quickly through a gas

A ball is thrown horizontally at a speed of 24 meters per second from the top of a cliff. If the ball hits the ground 4.0 seconds later, approximately how high is the cliff? I NEED HELP FOR THIS QUIZ LOL

Answers

Answer:

78.4m

Explanation:

In these situations, vertical and horizontal components need to be considered separately;

So, horizontal speed is irrelevant since we are talking about vertical height, i.e. the height of the cliff;

But, the fact that the speed is horizontal is relevant because this means the vertical speed initially is 0m/s;

The downwards movement of the ball is due to gravity, which is 9.8m/s²;

The time is given as 4.0s from the top of the cliff to the bottom;

We know the acceleration, time and initial speed so we can use this kinematic equation to solve for distance:

s = ut + ¹/₂at²

s = displacement (/distance)

u = initial vertical velocity = 0

t = time (time taken for the ball to fall) = 4

a = acceleration (downwards) = 9.8

Substitute these values into the equation to get the distance:

s = 0(4) + ¹/₂(9.8)(4)²

s = 78.4m

Other Questions
Please help pleaseeee I need help on this question if you can I'll give you brainliest and 20 points Write the correct end marks on the blank lines. Have you ever wondered where your gas money goes ____ The biggest portion goes to the manufacturers of crude oil, the people who get the oil out of the ground ____ They take a whopping 72% ___ The people who refine the crude oil, turning it into gasoline, earn about 9% ___ The distributors, people who move the oil around, make 7% ___ You may wonder who the rest goes ___ Well, taxes account for the other 12% ___ Do you know how much the station owners make ___ They make as little as a few cents A GALLON ___ Shocking, isnt it ___ How much work is required to lift a 500 kg block 12 m? (Show work) A significant accomplishment of the Second Continental Congress in 1776 was signing the Treaty of Parisapproving the Bill of Rightswriting the Declaration of Independencecreating the U.S. Constitution The rate of change of velocity or speed is known as acceleration. If a car increases it speed form 10 to 20m/s in 2 seconds, then what is its rate of change in velocity?A)5 m/s/sB)10 m/s/sC)20 m/s/sD)40 m/s/s Suppose the linear regression line y = 2.1x + 130 predicts sales based on themoney spent on advertising. If x represents the dollars spent in advertising,and y represents the company sales in dollars, about how much can thecompany expect in sales if it spends $150 in advertising? yes heavenly father, help me through these tough ways of life, and answer for me HELP WILL GIVE BRAINIEST IF ANSWERED FAST!!! HELP NOWWWW Which of these chemical equations demonstrates the law of conservation of mass?F. C3H8 + 4 O2 3 CO2 + 4 H2OG. 2 H2 + O2 2 H2OH. H + O H2OJ. Mn(OH)2 + H3PO4 2Mn3(PO4)2 + 2H2O Write one review for the Replay Museum in Tarpon Springs as though you just visited (whether you have ever been there or not). Your review should include what Replay Museum is, how it differs from a typical museum, some information about your experiences there (maybe favorite game?), and if you would recommend it for others. OKRs were naturally integrated into the management of MyFitnessPal. A successful innovation to the OKR system made by Mike Lee was to match objectives to people rather than match people to objectives.A. TrueB. False being apart of the Christian denomination is hard in the 21st century. how the number of batteries and the number of coils of wire affect the strength of an electromagnet. which statement best explains the difference between greenhouse gases and other atmospheric gasesplease help A container with a mass of 5 kg is lifted to a height of 8 m. How much work is done by the gravitational force Which of the following is an opinion about friction? It always acts in the opposite direction as the motion of the object. It stops objects on Earth from staying in motion forever. It slows objects down too much. It happens any time two objects are in contact.Help me out please-You'll get 40 points What compromise did Hamilton, Jefferson, and Madison reach regarding repayment of states debts? Dan is driving from his hometown to California to Colorado for a ski vacation. The equation defines the distance he is from home h hours after noon. What are the meanings of the values in the equation?y=70h+100a. Dan is 100 miles from home at noon and is traveling at 70 miles per hour. b. Dan is 70 miles from home at noon and is traveling at 100 miles per hour. c. Dan leaves at 1:00 and is traveling at 70 miles per hour. d. Dan leaves at noon and is traveling at 100 miles per hour. 1. Simplify: 5 + p > 3p -2p > 8