) 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

a ball bounce on the ground. at what position (A,B,C)does the ball have the greatest potential energy? kinetic energy? explain your answer.​

Answers

Answer:

What is the meaning of the kinetic I think the answer is both the ball has both Kinetic and potential energy so I think is the answer is true

Which way can heat never flow?

Answers

Answer:

Cold to hot.

Explanation:

Heat can never flow from cold to hot, heat transfers itself from hot to cold.

Which one hits the ground first, a
bullet dropped from a height, or a
bullet fired simultaneously from
the same height?

Answers

Answer:

A bullet fired simultaneously from the same height

Explanation:

It will reach the ground first because a greater force is being acted upon it. The first option is only acted on by gravity

What movement allows us to move our side to side?

Answers

Answer:

Ball-and-socket joints

Explanation:

A skier skids to a stop at the bottom of a mountain.
What is the equal and opposite force for the force of the skier's friction pushing on the mountain as
described by Newton's third law?

Answers

Answer:

Friction of the mountain on the skier in the opposite direction

Explanation:

answered it on khan academy

Friction of the mountain on the skier in the opposite direction.

What is Newton's  third law?

A force is a push or a pull that acts upon an object as a results of its interaction with another object. Forces result from interactions.

Forces result from contact interactions (normal, frictional, tensional, and applied forces are examples of contact forces) and other forces are the result of action-at-a-distance interactions (gravitational, electrical, and magnetic forces).

There are two forces resulting from this interaction - a force on the chair and a force on your body. These two forces are called action and reaction forces and are the subject of Newton's third law of motion.

Therefore, Friction of the mountain on the skier in the opposite direction.

To learn more about Friction, refer to the link:

https://brainly.com/question/13000653

#SPJ6

which number is larger value : 5.6*10^23 or 8.9*10^6

Need Help

Answers

Answer:

5.6*10^23. if 10^n is greater, that means its the larger value. hope dis helps

Explanation:

A 75 kg ball carrier is running to the right at 6.5 m/s. An 80 kg defender is chasing the ball carrier running at 7.0 m/s. The defender catches the ball carrier in a completely inelastic collision. What was the kinetic energy of the ball carrier/defender system BEFORE the tackle?

Answers

Answer:

3,544.375Joules

Explanation:

Kinetic energy is the energy possessed by a body by virtue of its motion, It is expressed as;

Kinetic energy = 1/2mv²

m is the mass of the body

v is the velocity

For the ball carrier;

KE = 1/2(75)(6.5)²

KE = 3168.75/2

KE = 1584.375Joules

For the defender;

KE = 1/2(80)(7)²

KE = 3920/2

KE = 1960Joules

The kinetic energy of the ball carrier/defender system BEFORE the tackle = KE for the carrier + KE for the defender

kinetic energy of the ball carrier/defender system BEFORE the tackle= 1584.375+1960 = 3,544.375Joules

2. Heavier football players tend to play on the front line. Why?
What law is it?

Answers

Answer: They are put in front for defense so so they can block the opponents from getting the ball

Explanation:

Answer:

Heavier football players are usually on the front line because they have a low point in gravity therefore they are able to block the back running players in a better way. And its Newton's second law.

Explanation:

What the distance between 2 particles is doubled and the force between them is quartered, what is that called

Answers

Answer:

Coulomb's law.

Explanation:

If the distance between two particles is doubled and the force between them is quartered, this is known as Coulomb's law. Coulomb presented a law in which he states that when there is increase occur in distance between two objects, the force between them is decreases so if the distance between two particles or objects is doubled so the force between them is also quartered.

What is the net force of the diagram?

Answers

The answer is
For the diagram
90 N

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

A molecule of water H2O and a molecule of methane CH4 have close to the same mass Which statement explains why water has much higher boiling point than methane?
A. There is hoydrogen bonding between water molecules?
B. There is ionic bonding between water molecules
C. There is hydrogen bonding between methane molecules
D. There is ionic bonding between methane molecules​

Answers

Answer:

A. There is hydrogen bonding between water molecules

Explanation:

Boiling point is a physical property of matter. It is typically conditioned by the intermolecular forces present between the molecules of a compound.

The nature of the intermolecular forces between the molecules of water is very different from those of methane. Water molecules have hydrogen bonds within their molecules. These intermolecular bonds are very strong compared to the london dispersion forces in methane. Hydrogen bond forms when the hydrogen of one molecule binds with the oxygen of another molecule.

Answer:

A)

Explanation:

There is hydrogen bonding between water molecules

plzzzzzzzzz help me will mark u brainest

Answers

Answer:

B

Explanation:

acceleration = change in speed / change in time

for 1, speed increases over time, so positive acceleration

for 3, speed decreases over time, so negative acceleration (or deceleration)

The answer is B, because 1 is acceleration and 3 is deceleration. 2 and 4 are staying at a constant speed which means it isn’t speeding or slowing but it’s staying the same.

a 10 kilogram steel ball is dropped from the top of a tower 100 meters high the kinetic energy of the ball just before it sttikes the ground is most nearly​

Answers

Explanation:

If we assume negligible air resistance and heat loss, we can assume that all of the Gravitational potential energy of the ball will turn into Kinetic energy as it falls toward the ground.

Therefore our Kinetic energy = mgh = (10kg)(9.81N/kg)(100m) = 9,810J.

How do the summer monsoons of India affect the hydrosphere, geosphere, and biosphere?

Answers

Answer:

Explanation:

The monsoon rains are the main source of water for 55 percent of the country’s arable land. This means the rains are crucial — not only for India’s farmers, but for its economy as a whole. Now, that’s a good thing when the monsoon arrives on time and brings the right amount of rain. But when it’s late or weak, it leads to drought.

A parachutist of mass 56.0 kg jumps out of a balloon at a height of 1400 m and lands on the ground with a speed of 5.10 m/s. How much energy was lost to air friction during this jump

Answers

Answer:

769,048.28Joules

Explanation:

A parachutist of mass 56.0 kg jumps out of a balloon at a height of 1400 m and lands on the ground with a speed of 5.10 m/s. How much energy was lost to air friction during this bump

The energy lost due to friction is expressed using the formula;

Energy lost  = Potential Energy + Kinetic Energy

Energy lost  = mgh + 1/2mv²

m is the mass

g is the acceleration due to gravity

h is the height

v is the speed

Substitute the given values into the formula;

Energy lost  = 56(9.8)(1400) + 1/2(56)(5.10)²

Energy lost  = 768,320 + 728.28

Energy lost  = 769,048.28Joules

Hence the amount of energy that was lost to air friction during this jump is 769,048.28Joules

29. A student notices that wearing care colors insight makes him feel warmer se he decides to conduct an experiment. He kese seces of bored and was
each one around a bete beten places alive betties in direct sunlight and measures the temperature of the water in each clean hout
what is the independent variable in this exermet
the temperature of the water
the outside temperature
the color of the con

Answers

Answer:

This question is unclear but the answer is:

the color of the con

Explanation:

In an experiment, the independent variable is the variable that is changed or manipulated by the experimenter to achieve a measurable response.

In this experiment which involves a student that notices that wearing care colors insight makes him feel warmer se. He decides to conduct an experiment by manipulating the colors of the cares, hence, the color of the con is the independent variable.

A light, flexible rope is wrapped several times around a hollow cylinder with a weight of 40 N and a radius of 0.25m that rotates without friction about a fixed horizontal axis. The cylinder is attached to the axle by spokes of a negligible moment of inertia. The cylinder is initially at rest. The free end of the rope is pulled with a constant force P for a distance of 5 m, at which point the end of the rope is moving 6 m/s. If the rope does not slip on the cylinder, what is the value of P

Answers

Answer:

The value is [tex]P = 14.7 \ N[/tex]

Explanation:

From the question we are told that

    The weight of the hollow cylinder is  [tex]W = 40 \ N[/tex]

     The radius of the hollow cylinder is  [tex]r = 0.25 \ m[/tex]

       The distance which it is pulled is  [tex]d = 5 \ m[/tex]

       The velocity of the end of the rope  is  [tex]v = 6 \ m/s[/tex]

Gnerally the mass of the hollow cylinder is  

      [tex]m = \frac{W}{g }[/tex]

=>    [tex]m = \frac{ 40 }{ 9.8 }[/tex]

=>    [tex]m = 4.081 \ kg[/tex]

Generally angular displacement for the distance covered is mathematically represented as

        [tex]\theta = 2 \pi * \frac{ d } {2\pi r }[/tex]

=>     [tex]\theta = 2 \pi * \frac{ 5 } {2\pi r }[/tex]

=>     [tex]\theta = \frac{ 5 } { 0.25}[/tex]

=>   [tex]\theta =20[/tex]

Generally the torque experienced  by the hollow cylinder is mathematically represented as

     [tex]P * r = I * \alpha[/tex]

Here I  is the moment of inertia

=>   [tex]P * r = m r^2 * \alpha[/tex]

=>    [tex]\alpha = \frac{P }{ mr }[/tex]

Generally from kinematic equation

     [tex]w_f ^2 = w_i ^2 + 2\alpha \theta[/tex]

=>  [tex]w_f ^2 = w_i ^2 + 2\alpha \theta[/tex]  

Generally the  final angular velocity is mathematically

      [tex]w_f = \frac{v}{r}[/tex]

=>    [tex]w_f = \frac{ 6 }{ 0.25 }[/tex]

=>    [tex]w_f = 24 \ m/s[/tex]

Generally the  initial  angular velocity is Zero given that the hollow cylinder was at rest before rolling

     [tex]24^2 = 0^2 + 2* \frac{P}{4.081 *0.25 } * 20[/tex]

=>   [tex]24^2 = 0^2 + 2* \frac{P}{mr} * 20[/tex]

=>   [tex]P = 14.7 \ N[/tex]

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!

which shows one example of physical change and the one example of a chemical change?
a. dissolving sugar and grinding pepper
b. melting butter and mixing flour with salt
c. boiling water and burning gasoline
d. roasting meat and freezing leftovers

Answers

Answer:

D. Freezing water and burning coal

Explanation:

Your maximum heart rate is the maximum number of times your heart can contract in one minute
True or false

Answers

Answer:

True

Explanation:

It is true i am right

If clouds were made of cotton-candy what is rain

Answers

Answer:

If clouds were made of cotton candy, I think rain would be soda.

Or liquified sugar.

:)

Answer:

Liquid Sugar

Explanation:

For an example, let's look at normal clouds. They're made of water vapor, and when they rain it's because the water vapor condenses and forms a droplet heavy enough that it falls out of the sky. In both sides of the equation, they're still made out of water. So, logically, cotton candy is made almost 100% with sugar, right? All that's happened is the sugar is heated and liquified and pushed through very small holes until they cluster together and form the fluffy treat you know today. Back to the leading question, though: "If clouds were made of cotton-candy, what is rain?". Rain is the liquid form of clouds (gas), and cotton candy is the (solid) form of itself. So in order for it to rain, it needs to liquefy itself. When melted at 367°F, sugar becomes a liquid, so in that case THAT is what cotton candy would rain if it were a cloud.

≧◡≦

Mocha here! If this answer helped you, please consider giving it brainliest because I would appreciate it greatly. Have a wonderful day!

a sports event, the car starts from rest, in 5.0 s its acceleration is 5.0 m/s2.
culate the distance travelled by car.

Answers

Answer:

62.5m

Explanation:

Given parameters:

Time  = 5s

Acceleration  = 5m/s²

Unknown:

Distance traveled by car  = ?

Solution:

To solve this problem, we use one of the motion equations as given below:

     S  = ut + [tex]\frac{1}{2}[/tex] at²

S is the distance traveled

t is the time taken

u is the initial velocity  = 0m/s

a is the acceleration

Now insert the parameters and solve;

      S = (0 x 5) + ([tex]\frac{1}{2}[/tex] x 5 x 5²) = 62.5m

what is gravity???☺️

Answers

Answer:

Gravity

Explanation:

its an invisible force that pulls objects

toward each other.

hope it helps

A force that pulls objects downwards

A racecar is driving around a circular track. The car is moving with a speed of 49.7 m/s, and the track has a radius of 114 m. What is the magnitude of the centripetal acceleration of the car?

Answers

Answer:

21.67 m/s²

Explanation:

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

Velocity (v) = 49.7 m/s

Radius (r) = 114 m

Centripetal acceleration (a) =?

The centripetal acceleration can be obtained by using the following formula:

a = v²/r

a = 49.7² / 114

a = 2470.09 / 114

a = 21.67 m/s²

Therefore, the centripetal acceleration of the car is 21.67 m/s²

here avarose566 you need this

Answers

Answer:

ooooooooooooooooo

Explanation:

*makes holy water*

HAHAHAHAHAHAH NO I NEED A DCIK

Ethics are deliberately learned from the family. Please select the best answer from the choices provided

Answers

Answer:

what are the choices provided?

Explanation:

Answer:

True

Explanation:

On Edg

When an object moves, where does the energy come from?

Answers

Ans: Kinetic and potential energies are found in all objects. If an object is moving, it is said to have kinetic energy (KE). Potential energy (PE) is energy that is "stored" because of the position and/or arrangement of the object. The classic example of potential energy is to pick up a brick.

Answer:

Kinetic energy.

Explanation:

This is the energy of motion, observable as the movement of an object or subatomic particle. Every moving object and particle have kinetic energy.

An atom of lithium (Li) forms an ionic bond with an atom of chlorine (Cl) to form lithium chloride. How are the valence electrons of these atoms rearranged to form this bond?

A few valence electrons are shared between the atoms.
Many valence electrons are shared between the atoms.
Electrons are transferred from the chlorine atom to the lithium atom.
Electrons are transferred from the lithium atom to the chlorine atom.

Answers

Answer:

electrons are transferred from the lithium atom to the chlorine atom

Answer:

D

Explanation:

I just took the test :)

A student rings a brass bell with a frequency of 200 Hz. The sound wave
travels through brass, air, and glass. What is the wavelength of the wave in
brass?
Medium
Wave speed
(m/s)
Brass
4,700
Air
346
Glass
5,640
A. 2.3 m
B. 0.43 m
C. 0.043 m
D. 23.5 m

Answers

Answer:

Option D. 23.5 m

Explanation:

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

Frequency = 200 Hz

Speed of sound in brass = 4700 m/s

Wavelength of sound in brass =?

We can obtain the wavelength of the sound in the brass by using the following formula as illustrated below:

Wave speed = wavelength × frequency

4700 = wavelength × 200

Divide both side by 200

Wavelength = 4700 / 200

Wavelength = 23.5 m

Thus, the wavelength of the sound in the brass is 23.5 m

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