Prove that the acceleration due to gravity is independent to
the mass of the falling body

Answers

Answer 1

Answer:

The force of gravity on an object increases with its mass; thus, the acceleration of gravity is constant.

Explanation:

one can prove this by plugging in values to Newton's 2nd law equation

F = ma, or by using the formula to calculate the force of gravity.

Force of Gravity = GMm/r^2

with G being the gravitational constant, M the mass of the earth, m the mass of the falling body, and r the distance from the earth's center.

Force of Gravity can be written as mg, with g being the acceleration due to gravity.

As we can see, m cancels on both sides, leaving

g = GM/r^2

Generally in physics problems, r will be treated as constant to achieve

g = 9.8m/s^2


Related Questions

In a 30cm by 25cm rectangle, a quadrant of a circle of radius 7cm has been cut away from each corner. What is the perimeter of the part left? ​

Answers

Answer: 98cm

Explanation:

Dimension of rectangle = 30cm by 25cm

Length(l) = 30cm

Width(w) = 25cm

Perimeter of a rectangle = 2(l + w)

Quadrant of circle cut away of each side of the rectangle :

Radius = 7 cm =

That is, the dimension of the triangle reduces by 2 * 7 = 14cm

New length = 30 - 14 = 16cm

New width = 25 - 14 = 11cm

The four corners =( 4 × 2πr ) / 4

2πr = 2 × 22/7 × 7 = 44cm

Perimeter = 2(16cm + 11cm)

= 2(27cm)

Perimeter = 54cm + 44 = 98cm

An electric kettle is rated at 2kW. How much energy is transferred in 30s?

Answers

Answer : 60,000 Joule

Given :

Power = 2 KW = 2 × 1000 W = 2000 W ( since 1 KW = 1000 W )Time taken = 30 seconds

To find :

Energy

Solution :

✾ Energy = Power × Time ✾

= 2000 × 30

= 60,000 Joule

Hope I helped!

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~TheAnimeGirl ♪

Answer:

60,000 Joules

Explanation:

GIVEN:

Power = 2kW = 2000 W

Time = 30 sec

REQUIRED:

Energy = ?

SOLUTION:

Power = Energy / Time

Making Energy the subject of formula

Energy = Power × Time

E = 2000 W × 30 s

E = 60,000 Joules

why is sun the only star that can be seen during day time​

Answers

Explanation:

i think the sun is near the earth that's why we see the sun during the day and the moon is behind the sun so when it is in the night the moon will remove in front the sun and there will be night I hope it will help you

Which of the following is an example of Newton's Third Law of Motion?
a. a person sliding to the right as a car turns left
b. a boy pulling a sled
c. gasses pushing a rocket forward
d. a hockey puck sliding across the ice

Answers

Answer:

C. gasses pushing a rocket forward

Explanation:

A train takes 2h to reach station B from station A and 3h to return back to A.The distance between the station is 200km, then its average speed would be

Answers

Answer:

80km/hr

Explanation:

Total distance: 400km

Total time 5 hours

Average speed= distance/time

400/5= 80km/hr

A 45-gram object that has a volume of 9 mL has a density of
a. 5 g/mL
b. 54 g/mL
c. 36 g/mL
d. 405 g/mL

Answers

Answer:

 The answer is a. 5g/mL

Explanation:

Given data

mass m= 45g

volume v= 9mL

we know that density=m/v

substituting our given data we have

[tex]density=\frac{45}{9} =5g/mL[/tex]

What is Density?

The Density of a body can be defined as the ratio of mass to volume,

or

Density, mass of a unit volume of a material substance. The formula for density is [tex]Density= \frac{mass}{volume}[/tex],

where d is density,

M is mass, and

V is volume.

Density is commonly expressed in units of grams per cubic centimetre.

The graphic organizer compares energy transfer in two layers of the Sun. A venn diagram of 2 intersecting circles with the left circle labeled convection zone and the right circle labeled radiative zone. There is an X in the convection zone circle. There is a Y in the radiative zone. Which labels belong in the regions marked X and Y? X: Absorbs energy from the core Y: Takes longer for photons to move through X: Releases energy to the photosphere Y: Takes longer for photons to move through X: Takes longer for photons to move through Y: Absorbs energy from the core X: Takes longer for photons to move through Y: Releases energy to the photosphere

Answers

Answer:

X: Absorbs energy from the core.

Y: Releases energy to the photosphere.

Explanation:

Convection is a mode of heat transfer through fluids (liquids or gas), and it requires material medium for its propagation.

The energy absorbed from the core of the Sun, is transferred through X (convection zone) by convectional process, and it flows to Y (radiative zone). Since the regions X and Y have different functions, the heat propagates from X causing photons to traverse through Y where it get released into the photosphere or the Sun's surface.

Therefore;

X: Absorbs energy from the core.

Y: Releases energy to the photosphere.

Answer:

X: Takes longer for photons to move through

Y: Releases energy to the photosphere

Explanation:

Explain why a Merry-Go-Round and a Ferris Wheel have a constant acceleration when they are moving.
Answer must be at least two sentences and contain words such as velocity and acceleration.

Answers

Explanation:What is centripetal acceleration?

Can an object accelerate if it's moving with constant speed? Yup! Many people find this counter-intuitive at first because they forget that changes in the direction of motion of an object—even if the object is maintaining a constant speed—still count as acceleration.

Acceleration is a change in velocity, either in its magnitude—i.e., speed—or in its direction, or both. In uniform circular motion, the direction of the velocity changes constantly, so there is always an associated acceleration, even though the speed might be constant. You experience this acceleration yourself when you turn a corner in your car—if you hold the wheel steady during a turn and move at constant speed, you are in uniform circular motion. What you notice is a sideways acceleration because you and the car are changing direction. The sharper the curve and the greater your speed, the more noticeable this acceleration will become. In this section we'll examine the direction and magnitude of that acceleration.

The figure below shows an object moving in a circular path at constant speed. The direction of the instantaneous velocity is shown at two points along the path. Acceleration is in the direction of the change in velocity, which points directly toward the center of rotation—the center of the circular path. This direction is shown with the vector diagram in the figure. We call the acceleration of an object moving in uniform circular motion—resulting from a net external force—the centripetal acceleration

a

c

a

c

a, start subscript, c, end subscript; centripetal means “toward the center” or “center seeking”.

Does thermal energy flow from warmer objects to cooler objects

Answers

Answer:yes

Explanation:

Thermal energy is the sum of all kinetic and potential energy in a substance. He is the thermal energy that flows from a warmer object to a cooler object.

heat is the thermal energy that flows from warmer objects to cooler objects. heat only flows one way, from warmer to cooler objects. net heat transfer ends when two objects reach the same temperature. (thermal equilibrium)

HELLO ONCE MORE FRIENDS . PLEASE HELP ME.
Q.18) In the figure below, Force (F) of 2000 N is acting on the piston A and a bus is on the piston B. If the area of piston A is 50 cm2 and the area of piston B is 4000 cm2
a)Find the pressure produce of the piston B . (3 marks)


b)Find the weight of the bus on the poston B. ( 3 marks)


c)Calculate the mass of the bus. ( 3 marks)

Answers

Answer:

Do u want to talk?

Explanation:

Answer:

You found answer yet?

Explanation:

Which of Galileo's theories drew fire from the Catholic Church and led to his
house arrest?

Answers

Answer:

imma have to come back to you on that one

Answer:

The Sun is at the center of the solar system and the planets move around it.

Explanation:pluto/edmentum

What do nuclear fission and nuclear fusion have in common?
A. They start with the same reactants.
B. They're both used in power plants.
C. Their products have more mass than their reactants.
D. Their products have less mass than their reactants.

Answers

Answer:

B

Explanation:

Fission and Fission are nuclear reaction processes that releases energy.

Fission is the process where the nuclei of an atom splits into smaller nuclei of same element or elements of smaller nuclei when Fussion is when two smaller nuclei combined to form one of a different element of a higher nuclei. These processes release energy.

Answer:

D. Their products have less mass than their reactants.

Explanation:

which of the following terms describes a machine that converts heat into work?
A. Entropy pump
B. Heat engine
C. Heat pump
D. Entropy engine

Answers

the answer is A. Entropy pump

Answer: A

Heat engine

Explanation: just took the test

What observation about light supported Einstein’s theory?

Answers

Answer:

Explanation:

Do you mean the theory that space-time is defined by what's in it? And that mass warps space-time?

There are many instances where his observation turned out to be correct. The most popular one is the phenomena of gravitational lensing. We can see the light from stars that are actually behind the sun. The huge gravity of the sun bends space-time and this also bends light. We use gravitational lensing alllll the time when trying to see very distant stars or galaxies.

Answer:

The Sun bent the light from a star. This bending made the star appear in a slightly different position from its actual position. This observation supported Einstein’s theory.

Explanation:

This is the answer on Edmentum! :)

Please LOTS OF POINTS. WILL MARK BRAINLIEST


Calculate the Resulting movement using the formula:
Perpendicular distance x Force

Answers

1]F1*D1=F2*D2

10N×2m=5N*3m

20N=15Nm

The seesaw will turn anti clock wise.

2]

F1*D1=F2*D2

3N*4m=2N*6m

12Nm=12Nm

It will neither rotate toward anti clock wise nor clock wise

Julie is cycling at a speed of 3.4 meters/second. If the combined mass of the bicycle and Julie is 30 kilograms, what is the kinetic energy?

A.
1.7 × 102 joules
B.
1.5 × 102 joules
C.
2.0 × 102 joules
D.
2.2 × 102 joules

Answers

Answer:

A

Explanation:

KE = 1/2 mv^2

=1/2(30kg)( 3.4 m/s)^2

=173.4 joules

=1.7×10^2 joules

A scanning tunneling microscope is used to measure small changes in height of a surface by detecting changes in the tunneling current between the tip and the surface. The current is proportional to the tunneling coefficient (ie. I = const * T) which follows the general equation for tunneling through a square well , with C dependent on the molecule and L is the distance. The transmission coefficient at one point is T = 0.01, what is the relative current if the distance is increased from L to 5L? We are interested in I(5L)/I(L). (Note: there may be more information provided than you need to solve the problem.)

Answers

Answer:

[tex]\mathbf{\dfrac{I(5l)}{I(l) } =10^{-8}}[/tex]

Explanation:

We are being told that the current is proportional to the tunneling coefficient[tex]I(l) = I_0 e^{-2kl}[/tex] ;

where l = distance between the tip and the surface.

Let      [tex]I(l) = I_0 e^{-2kl}[/tex]        ------------  equation (1)

and     [tex]I(5l) = I_0 e^{-2k(5l)}[/tex]   ------------ equation (2)

Dividing equation (2) by (1); we have :

[tex]\dfrac{I(5l)}{I(l) } = \dfrac{I_0 e^{-2k(5l)}}{ I_0 e^{-2kl}}[/tex]

[tex]\dfrac{I(5l)}{I(l) } =e^{-2k(5-1)l}[/tex]

[tex]\dfrac{I(5l)}{I(l) } =(e^{-2kl})^4[/tex]

where ;

[tex](e^{-2kl})[/tex] represents the transmission coefficient T = 0.01

Thus; replacing the value for 0.01;we have;

[tex]\dfrac{I(5l)}{I(l) } =0.01^4[/tex]

[tex]\mathbf{\dfrac{I(5l)}{I(l) } =10^{-8}}[/tex]

Help what is the answer

Answers

Answer:

C

Explanation:

[tex]F=k\dfrac{Q_1Q_2}{r^2}= \\\\(8.99 \times 10^9)\dfrac{(-2\times 10^{-4})(8\times 10^{-4})}{0.3^2}\approx 1.6\times 10^4 N[/tex]

Hope this helps!

a motorcar is moving with a velocity of 108 km / h and it takes 4s to stop after the brakes are applied calculate the force exerted by the brakes on the motorcar if it's mass along with the passengers is 1000 kg​

Answers

Answer:

-7500 N

Explanation:

v₀ = 108 km/h = 30 m/s

v = 0 m/s

t = 4 s

a = Δv / Δt

a = (0 m/s − 30 m/s) / 4 s

a = -7.5 m/s²

F = ma

F = (1000 kg) (-7.5 m/s²)

F = -7500 N

Answer:-7500

Explanation v₀ = 108 km/h = 30 m/s

v = 0 m/s

t = 4 s

a = Δv / Δt

a = (0 m/s − 30 m/s) / 4 s

a = -7.5 m/s²

F = ma

F = (1000 kg) (-7.5 m/s²)

F = -7500 N

Un gas se encuentra a una presión constante y a una temperatura de 30°C. Si la temperatura aumenta a 45°C, su presión varía a 6 atm. ¿Cuál era la presión inicial del gas? Transforma los °C en °K.

Answers

Answer:

P1 = 5.76 atm

Explanation:

To find the initial pressure of the gas you use the equation for ideal gases, for both temperatures and pressures:

[tex]P_1V=nRT_1\\\\P_2V=nRT_2\\\\[/tex]

T1: initial temperature = 30°C = 303.15K

T2: final temperature = 45°C = 318.15K

P1: initial pressure = ?

P2: final pressure = 6atm

n: number of moles

R: ideal gas constant

The number of moles and R are constant, you can dive the first equation into the second and solve for P1:

[tex]\frac{P_1V}{P_2V}=\frac{nRT_1}{nRT_2}\\\\\frac{P_1}{P_2}=\frac{T_1}{T_2}[/tex]

[tex]P_1=\frac{T_1P_2}{T_2}[/tex]

Finally, you replace the values of T1, P2 and T2:

[tex]P_1=\frac{(303.15K)(6atm)}{318.15K}=5.71atm[/tex]

hence, the initial pressure of the gas was 5.71 atm

when scientists publish experimental results their results are often criticized by other scientists how is this process a source of strength of Science? It encourages scientists to give convincing evidence for the results
it allows scientists to keep their data secret
a scientific model is not used full unless everyone thinks it's true
or if forces scientists to publish results that are in line with current theories ​

Answers

Answer: It encourages scientists to give convincing evidence for the results

Answer:

A.) would be the right answer

Explanation:

I took the test :)

A helium ion of mass 4m and charge 2e is accelerated from rest through a potential difference V in vacuum. Its final speed will be





















Answers

Answer:

Final Velocity = √(eV/m)

Explanation:

The Workdone, W, in accelerating a charge, 2e, through a potential difference, V is given as a product of the charge and the potential difference

W = (2e) × V = 2eV

And this work is equal to change in kinetic energy

W = Δ(kinetic energy) = ΔK.E

But since the charge starts from rest, initial velocity = 0 and initial kinetic energy = 0

ΔK.E = ½ × (mass) × (final velocity)²

(Velocity)² = (2×ΔK.E)/(mass)

Velocity = √[(2×ΔK.E)/(mass)]

ΔK.E = W = 2eV

mass = 4m

Final Velocity = √[(2×W)/(4m)]

Final Velocity = √[(2×2eV)/4m]

Final Velocity = √(4eV/4m)

Final Velocity = √(eV/m)

Hope this Helps!!!

What are the eight states of matter?

Answers

The eight states of matter are


Solid.
Liquid.
Gas.
Plasma.
Bose-Einstein Condensate.
Excitonium.
Degenerate Matter.
Photonic Matter.
i agree with the person above

Which two laws were discovered by Antoine Lavoisier and Joseph Proust

Answers

Answer:

Joseph proust's law of difinite composition

Law of conservation of mass

Explanation:

Dalton's law of multiple proportions is part of the basis for modern atomic theory, along with Joseph Proust's law of definite composition (which states that compounds are formed by defined mass ratios of reacting elements) and the law of conservation of mass that was proposed by Antoine Lavoisier.

Answer:

law of conservation of mass

law of definite proportions

Explanation:

A squeeze bottle squeezes when pressed. It regains its shape when pressed .It regains its shape when the pressure from your hand is withdrawn. What may happen if the squeeze bottle is pressed to take the sauce out and then immediately corked tightly? Will it regain its shape? If not, Why?

Answers

Answer: It will not regain its shape, because when it is corked it can not replace the volume of material that you just take out of it.

Explanation:

When you squeeze the bottle, you are changing the volume of the bottle, in this process, you are "expelling" the material inside the bottle.

When you stop squeezing, there is a change in pressure, and the bottle "absorbs" air, until the pressure is equilibrated, and in this process, the bottle returns to the original shape.

Now, if you take the sauce out of the bottle and immediately cored it, then you removed the material inside of the bottle and did not let the bottle to "refill" the empty space with air, so it can not regain its shape.

plz help!
A driver in a car moving with the velocity 72km/hr sees a cow on a road 20m ahead. He applies the brake and the car stops in 4 second . Does an accident occur ? After what distance does the car come to rest?​

Answers

72km/hr = 72000m/3600seconds(we convert km/hr to m/s
= 20m/s
Velocity= 20m/s
In 4seconds,distance covered=20x4= 80m
Therefore,an accident occurs because in 4seconds, the car would have moved past 20m

Ahoy starting from rest moves with a distance of 200m in 10 seconds...Find the magnitude of acceleration

Answers

Answer:

The magnitude of acceleration is 2m/s² .

Explanation:

First, you have to find the velocity as it starts to travel 200m in 10s. The formula of velocity is V = Distance/Time, then you have to substitute the values into the formula :

[tex]v = d \div t[/tex]

[tex]let \: d = 200 \\ let \: t = 10[/tex]

[tex]v = 200 \div 10[/tex]

[tex]v = 20m/s[/tex]

Next, you have to substitute the values into the acceleration formula, a = (v-u)/t where v represents final velocity, u is initial velocity and t is time taken :

[tex]a = \frac{v - u}{t} [/tex]

[tex]let \: v = 20 \\ let \: u = 0 \\ let \: t = 10[/tex]

[tex]a = \frac{20 - 0}{10} [/tex]

[tex]a = \frac{20}{10} [/tex]

[tex]a = 2m/ {s}^{2} [/tex]

3. You are flying 2586 miles from San Francisco to New York. An hour into the flight, you are 600
miles from
San Francisco. What is your speed in
m/s?

Answers

Answer:

268.22 m/s

Explanation:

An hour into the flight, you are 600 miles from San Francisco.

This sentence says that speed is 600 mi/h.

Now we need to convert it into m/s.

1 mi = 1609.34 m

1 h = 60 min = 60 min *60 s/1min = 3600 s

600 mi/h * 1609.34 m/1 mi * 1h/ 3600s= 600*1609.34/3600 m/s= =268.22 m/s

If you are flying 2586 miles from San Francisco to New York. An hour into the flight, you are 600 miles from San Francisco then your speed would have been 600 miles/hour.

What is speed?

The total distance covered by any object per unit of time is known as speed. It depends only on the magnitude of the moving object.

As given in the problem, If you are flying 2586 miles from San Francisco to New York. An hour into the flight, you are 600 miles from San Francisco then we have to find your speed,

Total distance traveled from  San Francisco to New York in one hor= 600 miles

speed of the flying plane = distance traveled in one hour time period

                                           = 600 miles/hour

Thus, your speed would have been 600 miles/hour.

Learn more about speed from here,

brainly.com/question/7359669

#SPJ2

A ball is being rolled by a normal push of 1000N. it is opposed by friction which has a force of 0.3kN and air resistance which has a force of 23N. Calculate the resultant force.​

Answers

Answer:

677 N

Explanation:

Let F = normal push force = 1000 N, f = frictional force = 0.3 kN = 300 N and f' = air resistance = 23 N.

Since the frictional force and the air resistance are in the opposite direction the the normal push force, the resultant force R is

R = F - f - f'

= 1000 N - 300 N - 23 N

= 677 N

Imagine that you have a 500 g iron pot (c = 0.440), a 500 g copper pot (c = 0.385), and a 500 g aluminum pot (c = 0.897). You fill each pot with 250 mL of water and heat the water to 100°C on a stove. Which pot will keep the water warm the longest? Explain your answer.

Answers

Answer:

Aluminium

Explanation:

If we calculate the heat transfer for all the substances, we have

Mc(∆T)

Where M is mass

C is heat capacity

∆T is temperature change.

For iron

Mc(∆T) = 500 ×0.440×100= 22000J

For copper

Mc(∆T) = 500 ×0.385×100= 19250J

For aluminium

Mc(∆T) = 500 ×0.897×100= 44850J

Aluminium has the highest heat capacity and would take longest for this heat capacity to be dissipated under similar condition.

Other Questions
Jack has a rectangular patio with a length that is one foot less than twice its width. His neighbor Ron's patio has the same width but a length that is 5 feet more than its width. If Jack's patio is 120 square feet and Ron's patio is 104 square feet, how many square feet longer is Jack's patio than Ron's? Let f(x) = ............ solve the question 2 (3x plus 5) Square - 16 = 0 buy completing the square If it costs $5.00 to get into the park and $1.50 for each go-kart ride, which function would best represent the cost to go to the park and ride go-karts?fSOS inductive reasoning is when uses lots of data to make a conjecture A. True B. False please answer now I need help with this please answer What can be inferred about the Earl of Tennessee? *He is not marriedHe has two little black dogsHe is happily marriedHe works nights Who is the artist of the painting above? a. Poussin b. Christopher Wren c. Antoine Le Nain d. The artist is unknown. Please select the best answer from the choices provided A B C D the graph below describes the journey of a train between two cities Can someone write 3 complex sentences i really need some help thank you!!!:) During the Philadelphia Convention, which became knows as the Constitutional Convention, it was decided that the Articles of Confederation would be:A. AmendedB. ReplacedC. CreatedD. Adopted what is the area of the circle doughnuts are sold in bags and cartons.A bag holds 4 doughnuts and a carton holds 10 doughnuts.he buys a total of T doughnuts.Write down a formula for T in terms of B and c Factor the trinomial by grouping.- 13x + 6 + 6x^2 What emotions do you think are portrayed best by atonal music? Three shirts and two pairs of pants cost $40. Four shirts and one pair of pants cost $37.50. How much does one shirt cost?A. $5.00B. $9.50C. $6.75D. $7.00 What is the power of a child that hasdone work of 50J in 10 seconds.(a)50W (b)20W (c)30W (d)5W To reduce a tooth for a crown or bridge, which of the following would most likely be used?O a. This is not part of a recognized dental procedure.ob. a slow speed handpiecec. a high speed handpieced. hand instruments ANSWERR ASAPP!!! I GIVE BRAINLIESTT!!just tell me if I'm correct theHow do the underlined words in the passage createmeaning?s beenouThey describe how Pau Amma plays.They describe how the animals playThey describe Pau Amma's impact on the sea and theanimals.They describe the tasks the Eldest Magician gives tothe aninuse ance aWhenur Common stocks typically have which of the following that bonds do NOT have? I. Voting rights II. Fixed cash flows III. Set maturity date IV. Tax deductibility of cash flows to investorsa) i onlyb) i,ii and iv onlyc) ii,iii and iv onlyd) iv onlye) i, ii,iii and iv