) 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

How will Artificial Intelligence change the way we do things? .......C-Claim: 2 points
Write a statement that responds to the question.*
Your answer

Answers

Answer:

Well it'll change our way of knowledge and more than likely, labor type of jobs that need people will no longer need them, as they don't get hurt, you don't have to pay them or anything like a human being. We'll probably have school online, our shopping online. It'll be a both good and bad thing for us.

Explanation:

Artificial intelligence can help in many ways and will ruin things in many ways. But no matter what we need humans because robots do not make robots humans make the robots and the robots make things but not them selves. Also in today’s world artificial intelligence is changing the lives of millions by, taking peoples jobs away for something more easier and cheaper. The world is at the peak right now but if we do not take care of it it can make things worst than they already are.

Have a good day and a merry Christmas

An electrically charged atom is called an

Answers

Answer:

It's called an ion. Excuse me if I'm wrong.

Explanation:

Electrically charged atoms are called ions

Explication- positive ions are called cations and negative ions are called anions. Atoms have two types of charged particles protons have a positive charge and are found in nucleus Electrons have a negative charge and are found outside the nucleus.

Hope this helps

Two lamps rated 60W; 240V and 100W, 240Vrespectively are connected in series to a 240V power source. Calculate;
a) The resistance of each lamp.
b) The effective resistance of the circuit.
c) The current passing the lamps. pls answer correctly ​

Answers

Answer:

See the answers below.

Explanation:

The total power of the circuit is equal to the sum of the powers of each lamp.

[tex]P=60+100\\P=160 [W][/tex]

Now we have a voltage source equal to 240 [V], so by means of the following equation we can find the current circulating in the circuit.

[tex]P=V*I[/tex]

where:

P = power [W]

V = voltage [V]

I = current [amp]

[tex]I = P/V\\I=160/240\\I=0.67 [amp][/tex]

So this is the answer for c) I = 0.67 [amp]

We know that the voltage of each lamp is 240 [V]. Therefore using ohm's law which is equal to the product of resistance by current we can find the voltage of each lamp.

a)

[tex]V=I*R[/tex]

where:

V = voltage [V]

I = current [amp]

R = resistance [ohms]

Therefore we replace this equation in the first to have the current as a function of the resistance and not the voltage.

[tex]P=V*I\\and\\V = I*R\\P = (I*R)*I\\P=I^{2}*R[/tex]

[tex]60 = (0.67)^{2}*R\\R_{60}=133.66[ohm] \\and\\100=(0.67)^{2} *R\\R_{100}=100/(0.66^{2} )\\R_{100}=225 [ohm][/tex]

b)

The effective resistance of a series circuit is equal to the sum of the resistors connected in series.

[tex]R = 133.66 + 225\\R = 358.67 [ohms][/tex]

A falling object accelerates from -10.00 to-30.00m/s. How much time does that take??????
I would be very grateful !!!
Please answer who is good at physics
I beg you!
It is urgent and I would be very grateful indeed if you would pls be so kind as to solve this problem and answer in a minute

Answers

With the equation Vf = Vi + at, you can determine the unknown variable. I presume that gravity is the acceleration, so 30 = 10 + 9.8(t) —> 20 = 9.8(t) —> 2.040816 = t

A falling object accelerates from -10.00 to-30.00m/s, it takes approximately 2.04 seconds for the falling object to accelerate from -10.00 m/s to -30.00 m/s.

To determine the time it takes for a falling object to accelerate from one velocity to another:

v = u + at

Here, it is given that:

Initial velocity (u) = -10.00 m/s

Final velocity (v) = -30.00 m/s

Since the object is falling, we can assume that the acceleration (a) is due to gravity and is approximately -9.8 m/s² (negative because it's directed downwards).

Substituting the values into the equation:

-30.00 = -10.00 + (-9.8)t

Simplifying the equation:

-30.00 + 10.00 = -9.8t

-20.00 = -9.8t

Dividing both sides by -9.8:

t = -20.00 ÷ -9.8

t ≈ 2.04 seconds

Thus, it takes approximately 2.04 seconds for the falling object to accelerate from -10.00 m/s to -30.00 m/s.

For more details regarding acceleration, visit:

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I need help with science​

Answers

Answer:

saaaaame

Explanation:

A football player at practice pushes a 80 kg blocking sled across the field at a constant speed. The coefficient of kinetic friction between the grass and the sled is 0.30. How much force must he apply to the sled

Answers

Answer:

The value is  [tex]F = 235.2 \ N[/tex]

Explanation:

From the question we are told that

   The mass of the sled is  [tex]m = 80 \ kg[/tex]

  The  coefficient of friction is  [tex]\mu = 0.30[/tex]

Generally the force that must be applied to the sled is equal to the frictional force experienced by the sled which is mathematically represented as

       [tex]F = m * \mu * g[/tex]

=>    [tex]F = 80 * 0.30 * 9.8[/tex]

=>    [tex]F = 235.2 \ N[/tex]

True or false: " The rotation of the earth and revolution of the earth mean essentially the same thing."

Answers

Answer:

FALSE

Explanation:

Rotation is spinning on its axis

Revolution is spinning around the sun

False. This is because one rotation is one day and one revolution is one year

The masses of four vehicles and the net forces acting on them as they enter a highway are recorded in the table below. Vehicles Entering a Highway Vehicle Mass (kg) Force (N) Sedan 1500 4500 Coupe 1200 4500 SUV 1800 4500 Truck 2000 4500 Which vehicle has the greatest acceleration as it enters the highway?​

Answers

Answer:

Coupe

Explanation:

It has the least amount of mass

The acceleration of each vehicles with same force decreases with an increase in mass. Thus, the vehicle with greatest acceleration is the light vehicle which is coupe here.

What is acceleration?

Acceleration of a body is the rate of change of its velocity. Acceleration is a vector quantity thus it is characterized by its magnitude and direction. The acceleration of a body depends on the mass, speed and the force acting on the body.

According Newton's second law of motion, the force acting on a body is the product of its mass and acceleration.

Thus, F = ma.

Force increases with both acceleration and mass.

From this relation, it is clear that the mass and acceleration of a body are in inverse relation. Thus, a massive body requires more force to accelerate it.

Here all the vehicles have equal force on it but their masses are different. The greater mass is for truck here which is associated with least acceleration anb the light vehicle, coupe will have the greatest acceleration.

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HELP ASAP!! WILL TRY TO GIVE BRAINLIESTT!!

Please define the prefixes hyper-, hypo-, & iso- AND describe a solution that is hypertonic, hypotonic, & isotonic as well as compare how a living cell reacts when placed in a solution of each of the 3 types.

Answers

Answer:

Hypertonic, isotonic, and hypotonic solutions and their effect on cells. ... There are some different explanations out there. ... Tonicity is a concern for all living things, particularly those that lack rigid cell walls and live in ...

Find the mass of a copper block with heat capacity 50j/kg,(specific heat capacity of copper=400j/kg)​

Answers


−1
C
−1
and L
f

=3.5×10
5
Jkg
−1

Mass of copper block m=2kg
Heat released by the copper block is equal to the heat gained by the ice to melt.
Let the mass of the ice melted be M.
Change in temperature of copper block ΔT=500−0=500
o
C
∴ mS(ΔT)=ML
f


Or 2×400×500=M×3.5×10
5

⟹ M=1.14kg
The person above me is right listen to then and stan fromis_9

A 0.15 kg ball is moving with a velocity of
35 m/s. Find the momentum of the ball.

Answers

Answer:

5.25 kg.m/s

Explanation:

The momentum of an object can be found by using the formula

momentum = mass × velocity

From the question we have

momentum = 0.15 × 35

We have the final answer as

5.25 kg.m/s

Hope this helps you

How are seeds different from spores?

Seeds have endosperm which provides nourishment for a new plant, but spores do not have any stored food supplies.

Spores have an endosperm and involve sperm and egg cells, while seeds do not.

Spores involve egg and sperm cells, while seeds do not.

Spores will germinate and must find good soil to survive. Seeds can survive in extremely harsh conditions.

Answers

Explanation:

1.Seeds have endosperm which provides nourishment for a new plant, but spores do not have any stored food supplies.

hope it helpful

newtons _ law of motion states that every action has an equal and opposite reaction​

Answers

Answer:

3rd

Explanation:

3rd

What does this same experiment( the picture) tell you about light waves? Explain.

Answers

The picture is too blurry but I help :)

Identify the particle that is NOT a subatomic particle.
es
A)
electron
B)
neutron
C
positron
D)
proton

Answers

The answer is c, positron.

Answer:

C

positron

Explanation:

help plz The sum of all chemical reactions that take place within an organism is known as ______________. *

Answers

Answer:

Metabolism

Explanation:

metabolism is the sum of all chemical reactions that take place within an organism

Answer:

Metabolism

Explanation:

Any force that resists motion and causes heat

Answers

Answer: Two objects sliding against each other.

Explanation:

The friction between the two surfaces converts kinetic energy into heat.

A ball of radius R and mass m is magically put inside a thin shell of the same mass and radius 2R. The system is at rest on a horizontal frictionless surface initially. When the ball is, again magically, released inside the shell, it sloshes around in the shell and eventually stops at the bottom of the shell. How far does the shell move from its initial contact point with the surface

Answers

Answer:

[tex]x =\frac{-R}{2}[/tex]

Explanation:

From the question we are told that mass

Thin layer radius [tex]= 2R[/tex]

Generally the expression for ths solution is given as

Xcm =(m*0 =m(-2R))/2m =-mR/(2m)=-R/2

the center of mass will not move at initial state  

Considering the center of mass of both bodies

[tex]xcm=\frac{m*x+m*x)}{2m} =x[/tex]

[tex]x =\frac{-R}{2}[/tex]

Therefore the enclosing layer moves [tex]x =\frac{-R}{2}[/tex]                          

The shell move from its initial contact point with the surface is,

[tex]x =\dfrac{-R}{2}[/tex]

Given-

Radius of the ball is [tex]R[/tex].

the mass of the ball is [tex]m[/tex].

The mass of the thin shell is [tex]m[/tex].

The radius of the thin shell is [tex]2 R[/tex].

For the two bodies with mass [tex]m[/tex], the center of mass can be given as,

[tex]x_{cm}=\dfrac{m_{1} x_{1}+m_{2} x_{2} }{m_{1} +m_{2}}[/tex]

In the given question, the mass of both the bodies are equal and the given distance of center of mass for both bodies are also equal. Therefore,

[tex]x_{cm}=\dfrac{m x_+mx }{m +m}[/tex]

[tex]x_{cm}=\dfrac{2mx }{2m}[/tex]

[tex]x_{cm} =x[/tex]

Distance for center of mass can also be given as,

[tex]x_{cm} =m\times o[/tex]

[tex]x_{cm} =m\times \dfrac{-R}{2m}[/tex]

[tex]x_{cm} =\dfrac{-R}{2}[/tex]

Comparing both the values of the distance of center of mass we get,

[tex]x =\dfrac{-R}{2}[/tex]

Hence, The shell move from its initial contact point with the surface is,

[tex]x =\dfrac{-R}{2}[/tex]

For more about the center of mass follow the link below,

https://brainly.com/question/8662931

Block on inclined plane experience a force due to gravity of 300N straight down. If the slope is inclined at 67.8°to the horizontal. What is the component of the force due to gravity perpendicular and parallel to the slope?

Answers

Answer:

The component of the force due to gravity perpendicular and parallel to the slope is  113.4 N and 277.8 N respectively.

Explanation:

Force is any cause capable of modifying the state of motion or rest of a body or of producing a deformation in it. Any force can be decomposed into two vectors, so that the sum of both vectors matches the vector before decomposing. The decomposition of a force into its components can be done in any direction.

Taking into account the simple trigonometric relations, such as sine, cosine and tangent, the value of their components and the value of the angle of application, then the parallel and perpendicular components will be:

Fparallel = F*sinα =300 N*sin 67.8° =300 N*0.926⇒ Fparallel =277.8 N Fperpendicular = F*cosα =  300 N*cos 67.8° = 300 N*0.378 ⇒ Fperpendicular= 113.4 N

The component of the force due to gravity perpendicular and parallel to the slope is  113.4 N and 277.8 N respectively.

Help i will do anything for this. its a serious grade

Answers

Answer: 10 has more potential energy because its longer

1 has less potential energy because its shorter

Explanation:

Potential energy directly depends on height of body as

[tex]\\ \sf\longmapsto P.E=mgh[/tex]

[tex]\\ \sf\longmapsto P\propto h[/tex]

Higher the height higher the potential energy

Object at height 10m has more potential energy.

PLEASEEE HELPPP!!!

A mover slides a refrigerator weighing 650 N at a constant velocity across the floor
a distance of 8.1 m. The force of friction between the refrigerator and the floor is
230 N. If the work was done in 55 seconds, what is the power of the mover?

Answers

Answer:

very strong

Explanation:

the answer is something

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

A golf ball is sitting on a tee. The ball is struck with a golf club and flies
through the air. How does the force on the club compare with the force on the
ball when momentum is transferred between the club and ball?

Answers

Answer:

c i kn now it is

Explanation:

If you have 100 kg of each of these substances, which would require the most energy to increase its temperature by 25 Kelvin?

A. Iron
B. Carbon
C. Rubber
D. Air

Answers

Answer:

iron

Explanation:

Which statement best explains why Earth’s outer core is in liquid form? The iron-nickel alloy melts due to hot temperatures. The outer core has a tarry consistency. This region is less dense when compared to the mantle. This region is under extreme pressure from the weight of other layers.

Answers

Answer:

I took the science quiz and Its A

Explanation:

HOPE THIS HELPS!

The iron-nickel alloy melts due to hot temperatures. This statement best explains why Earth’s outer core is in liquid form

Where is the outer core?

The Earth's outer core is the second innermost layer, located between the inner core and the mantle. It contains mostly iron and nickel, which- due to lower pressure than existing at the inner core- are in the liquid form. The outer core, about 2,200 kilometers (1,367 miles) thick, is mostly composed of liquid iron and nickel  because of the high temperature. However, the intense pressure, which increases towards the inner core, dramatically changes the melting point of the nickel–iron, making it solid. The  iron and nickel alloy of the outer core is very hot, between 4,500° and 5,500° Celsius (8,132° and 9,932° Fahrenheit).

The outer core is a liquid alloy of mainly iron and nickel. The reason why the core is metal is that the heavy metals sank to the center while the Earth was cooling. The mantle which lies above the core is made of molten rock

correct option is a) The iron-nickel alloy melts due to hot temperatures.

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help me please I will thank you​

Answers

Answer:

DNA= 2 strands, sugar is deoxyribose, and the Nitrogen Bases are adenine, uracil, cytosine, and thymine.

RNA= 1 strands, sugar is ribose, and the Nitrogen Nases are adenine, uracil, cytosine, and guanine.

Hope this helps :)

Explanation:

What is the height of a shelf that has 15 kg objects with 450 J of gravitational potential energy

Answers

PE=mgh
450J=15kg•9.8m/s2squared
450=147h
—— ——
147 147

h=3.0612m

the value of acceleration due to gravity option A is same on equator and poles option B is list on poles option C is list on equator option d increase from pole to equator which is the answer​

Answers

Answer:

D. Increases from pole to equator

Explanation:

I majored in Science

PLEASE HELPP!!!
(look at the picture)

Answers

Answer:

I believe the answer is trench.

Explanation:

Hope this helps! <3

Answer:

B. Fault

Explanation:

Please correct me if I’m wrong

(it’s either b or c)

Jerry is pushing a 50-kg box across a moth floor with an acceleration of 0.6 m/s2. What force is he applying to the box? *

83.3 N
0.012 N
0
30 N

Answers

Answer:

30 N

Explanation:

The force acting on an object given it's mass and acceleration can be found by using the formula

force = mass × acceleration

From the question we have

force = 50 × 0.6

We have the final answer as

30 N

Hope this helps you

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