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

Answers

Answer 1

Answer:

½mv²=mgh

g=½(V²/h)

Explanation:

When an object is held at a height, it posses gravitational potential energy which is mgh, where m= mass, h=height, g=acceleration due gravity

When the object is dropped, the potential energy will be converted to kinetic energy which is ½mv², where V=velocity at which the object moves.

V=∆h/t, ∆h is change in height with respect to time.

½mv²=mgh

Mass cancel out,

g=v²/2h

This implies that g does not depend or is not affected by mass. Hence heavy object and light object will reach the ground at the same time when dropped from the same height. When air resistance is negligible.


Related Questions

A hydraulic lift has pistons with diameter 28cm and 70cm, respectively. If a force of 500 N is exerted at the input piston. What is the maximum load that can be lifted the output piston?​

Answers

Answer:

3125 N

Explanation:

diameter /2 =radius

so r1 =14cm , r2 =35cm

f1/A1 =f2/A2.

f2 = f1 × A2 / A1

=500×1225 pi cm² / 96 pi cm²

f2 =3125N

Give a reasonable order-of-magnitude estimate of the number of golf balls that would fill a home
swimming pool

Answers

An order of magnitude is a number of the form 10^n such that can be used to compare magnitudes or quantities.

We will find that  the order of magnitude of golf balls that fill a home swimming pool is 10^6

In this case, we want to estimate the number of golf balls that would fill a home swimming pool.

We know that the diameter of a golf ball is D = 42.6mm = 0.0426m

And the volume of a sphere of diameter D is:

V = (4/3)*pi*(D/2)^3

where pi = 3.14

Then the volume of a single golf ball is:

V =  (4/3)*3.14*( 0.0426m/2)^3 = 0.00004 m^3

Now we need to find the average volume of a home swimming pool, we can use 48 m^3 (an average one) to do the general math.

To find the number of golf balls that enter in that volume, we need to do the quotient between the volume of the pool and the volume of a single ball:

N = (48 m^3)/(0.00004 m^3)  = 1,200,000

If we round this to the next order of magnitude: 10^6 (the exponent is the number of digits at the right of the one)

Then the order of magnitude of golf balls that enter in a home swimming pool is  10^6

If you want to learn more, you can read:

https://brainly.com/question/4953281

what is the name of the chart that contain elements?​

Answers

Answer:

Element Chart

Explanation:

It is a chart that provides many different elements.

A snail at position 3 cm moves to position 20 cm in 8 seconds
What is it's velocity ?
What is it's displacement ?​

Answers

Answer:

no worries

Explanation:

Leave it to me.

Answer:

17 cm

Because the equation you're using is ∆d=df

estimate my age in seconds 14 years old

Answers

Oooooooooooooooooooooooooooooooooooooof

How many bones does the baby have and why does the baby has more bones than the older ones

Answers

Answer:

300

Explanation:

when the baby are born then they would have 300 bones but when they grow they would have 206 cause when they grow that 94 bones would convert into different kind of proton and energy I guess

330 the bones will grow until they become one if that makes sense.

According to the graph the acceleration of the object is ?

A) Constant
B) decreasing
C) increasing
D) zero

Answers

Answer:

your answer is (B) decreasing

I hope it's helps you

The elevators in the John Hancock building in Chicago move 783 ft in 33 s. What is this speed in miles per hour?

Answers

Answer:

16.18 mph

Explanation:

the speed of elevators =

(783×3600)/(33×5280) =

2,818,800/174,240 = 16.18 mph

urgent!!!
factor affecting for the depth which is exerted by the foot print of a bull and a man with same masses on a sand floor is,

1.The pressure exerted by the foot of bull is low
2.the pressure exerted by the foot of man is high
3.the area wich touches the sand foor human feet is less
4.the area wich touches the sand floor of 4 feet of the bull is less than the man.
please this is urgent....​

Answers

The area which touches the sand floor of 4 feet of the bull is less than the man.

because the area of surface of contact is more in bull than in man. More is the area of contact, leads is the force or pressure affected.

2. A force of 20N acts on a particle of mass 2 Kg and displaces it by 5m at an angle 30°. What is the work done? a) 40J ) b) 50 J c) 100J​

Answers

Mass is not required

Force=F=20NAngle=30°Displacement=s=5m

[tex]\\ \rm\longmapsto W=Fscos\Theta[/tex]

[tex]\\ \rm\longmapsto W=20(5)cos30[/tex]

[tex]\\ \rm\longmapsto W=100\times \dfrac{\sqrt{3}}{2}[/tex]

[tex]\\ \rm\longmapsto W=50\sqrt{3}J[/tex]

Answer:

[tex]we \: have \\ w = fs \cos( \alpha ) \\ f = 20n \\ m = 2kg \\ s = 5m \\ \alpha = 30 \\ \\ then \: w = 20 \times 5 \times \cos(30) \\ 100 \cos(30) \\ = 100 \frac{ \sqrt{3} }{2} \\ = 50 \sqrt{3} \\ = 86.6 \: joule\\ thank \: yo[/tex]

Which is the cause of the suns magnetic properties ?
A) upward movement or super heated gases in the convection zone
B) uneven churning of plasma
C) rapid spinning of metals in the core
D) uniform clockwise rotation of charger particles

Answers

Answer:

Q:

What characteristic is shared by sunspots, solar flares, and coronal mass ejections? Select the two correct responses.

A:

They tend to occur during active periods of the solar cycle. & They are caused by outward fluctuations of the sun's magnetic field.

Q:Drag each item to the correct location.

A: sunspot: cooler area on suns surface where the magnettic field emerges

solar flare: intense burst of radiation coming from the rapid release of magnetic energy

coronal mass ejection: large bubble of plasma from the rapid release of magnetic energy

Q: Which is the cause of the sun's magnetic properties?

A: uneven churning of plasma

Explanation:

took quick check

good luck yall

The uneven churning of plasma is the cause of the sun's magnetic properties, therefore the correct answer is option B.

What is a magnetic field?

A magnetic field could be understood as an area around a magnet, magnetic material, or an electric charge in which magnetic force is exerted.

For a simple bar magnet, N-pole and S-pole are the points on a magnet that have the strongest magnetic field. The magnetic field originates from the north pole and terminates in the south pole of a magnet.

The positively charged ions and negatively charged electrons that make up the plasma of the Sun move around a lot due to its high temperatures. Multiple intricate magnetic fields that twist and turn are produced by the moving plasma. A magnetic field is produced by the extremely hot plasma that escapes from the Sun as the solar wind.

Thus, The sun's magnetic properties are caused by uneven plasma churning, so option B is the correct answer.

Learn more about the magnetic fields from here

brainly.com/question/23096032

#SPJ2

5.
1
Shown above is a wire that is carrying current in a magnetic field. The magnetic field
is coming out the plane of the page.
What is the direction of deflection of the wire?
A) Upwards
B) Downwards
C) To the left
D) To the right

Answers

Answer:

The direction of defliection of the site to the left I think ..

Record the length of the line shown in centimeters.
7.30
7.12
7.3
7.28
Please help will be marked most brainlist !!

Answers

Zooming I. On the image the red line is just short of the 3rd line past the 7 so it is not 7.3 but just a little under.

Answer: 7.28

In AC Theory, we are going to add components that will cause use to rely on Trigonometry to evaluate different types of Electrical Power. What three units of power will we be measuring

Answers

Answer:

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Home / AC Circuits / Power in AC Circuits

Power in AC Circuits

Electrical power consumed by a resistance in an AC circuit is different to the power consumed by a reactance as reactances do not dissipate energy

  

In a DC circuit, the power consumed is simply the product of the DC voltage times the DC current, given in watts. However, for AC circuits with reactive components we have to calculate the consumed power differently.

Electrical power is the “rate” at which energy is being consumed in a circuit and as such all electrical and electronic components and devices have a limit to the amount of electrical power that they can safely handle. For example, a 1/4 watt resistor or a 20 watt amplifier.

Electrical power can be time-varying either as a DC quantity or as an AC quantity. The amount of power in a circuit at any instant of time is called the instantaneous power and is given by the well-known relationship of power equals volts times amps (P = V*I). So one watt (which is the rate of expending energy at one joule per second) will be equal to the volt-ampere product of one volt times one ampere.

Then the power absorbed or supplied by a circuit element is the product of the voltage, V across the element, and the current, I flowing through it. So if we had a DC circuit with a resistance of “R” ohms, the power dissipated by the resistor in watts is given by any of the following generalised formulas:

what is the density of a 75 g block of wood measuring 12 cm x 8cm x 9cm

Answers

Answer:

density is equal to mass divided by volume (m/v)

volume: 12×8×9=864cm³

75÷864=0.09

Answer: 0.09g/cm³

A bicyclist is traveling at +25m/s when he begins to decelerate at -4m/s2. How fast is he traveling after 5 seconds

Answers

Answer:

+5m/s

Explanation:

When doing the math we figure out that e is going to be slowing down at -4m/s² for 5 seconds. In total he is slowing down -20m/s which we take from the total speed of +25m/s to get his current new speed.

Which statement correctly describes a characteristic that a scientific measuring tool should have?

A. To be accurate, it must be able to make measurements that are close to the actual value.

B. To be accurate, it must be able to make measurements using very small units.

C. To be accurate, it must be able to make measurements using very large units.

D. To be accurate, it must be able to give consistent measurements of a quantity​

Answers

Answer:

To be accurate, it must be able to make measurements that are close to the actual value.

How far would a snowmobile travel in 0.5 hours at a rate of 25 km/h?

Answers

Answer:12.5 km

Explanation:

0.5=1/2

25 x 1/2 = 12.5 (25 ÷ 2 = 12.5)

Answer:

12.5 km

Explanation:

Distance = Speed x Time

               = 25 x 0.5

               = 12.5 km

34.9x46x809 Please helpp

Answers

34.9×46×809=1605.4×809 =1298768.6

please mark this answer as brainlist

Defects of vision and their correction drawing ​

No Spams ❌❌

Answers

Answer:

Vision Correction

You probably know people who need eyeglasses or contact lenses to see clearly. Maybe you need them yourself. Lenses are used to correct vision problems. Two of the most common vision problems are myopia and hyperopia.

Explanation:

hope this helps

A playground merry-go-round spins about its axis with negligible friction. A child moves from the center of the merry-go-round to the rim. For this system, indicate which of the following quantities change.
A. Potential energy
B. Angular momentum
C. Mass
D. Moment of inertia
E. Angular speed
F. Rotational kinetic energy

Answers

Answer:

B

Explanation:

In this process on merry go round there is not any external torque so angular momentum will be conserve. Mass is always conserved.

Please answer these, I’m willing to give plenty of points.

Does a person with a family history of a breast cancer have a higher chance of developing breast cancer during her life?
IV:_________
DV:__________
Hypothesis:__________

Does grass grow faster under shade of a tree or in direct sunlight?
IV:_______
DV:_______
Hypothesis:_________


Observation: students do not eat very much of their food in the lunchroom.
Question: will students eat more food in lunch room if more fresh fruit and vegetables are used?
IV:_________
DV:__________
Hypothesis:_______

Observation: my dog won’t stop barking whenever someone rings the doorbell.
Question: will my dog bark less when the doorbell rings if he exercises for an hour everyday?
IV:_____
DV:_______
Hypothesis:________

Create your own question.
Observation:___________
Question:_____________
IV:________
DV:_________
Hypothesis:____________
Please send help before school starts!!!!!

Answers

Answer:

IV family history of breast cancer or not.

DV chance of developing breast cancer. Hypothesis Someone with a family history of breast cancer will have a higher chance of developing it.

IV: Where the grass is placed: tree shade or direct sunlight.

Dv:The grasses growth rate

Hypothesis: Grass will grow faster in direct sunlight as opposed to tree shade

IV: Fresh veggies and fruit or not

Dv: how much the students eat: will they eat more or less?

Hypothesis The students will eat more in the lunchroom when Fresh veggies and fruits are served.

IV: The dog exercise everyday for 1 hour or not.

DV: The dogs barking: less or more.

Hypothesis: The dog will bark less when someone rings the doorbell if he exercises for 1 hour every day.

Explanation:

Observation When I wish my face before bed, I get less breakouts in the morning.

Question Does nightly face washing prevent morning breakouts?

IV Washing face at night or not

Dv How much breakouts in the morning.

Hypothesis Washing your face nightly decreases the occurrence of morning breakouts.

pls give me an answer

Answers

Answer:

IV what is it's potential energy at the maximum height

which of the following are fundamental unit ?
I.candela
II.ampere
III.mole
IV.all of these​

Answers

Answer:

all of these very easy questions

A car moves with an average speed of 45 mph. How long does a car take to travel 90 miles?

Answers

Answer:

It took 2 hours

Explanation:

[tex]{ \bf{time = \frac{distance}{speed} }} \\ [/tex]

distance is 90 miles

speed is 45 miles per hour

[tex]t = \frac{90}{45} \\ \\ t = 2 \: h[/tex]

Answer:

2 hours

Explanation:

45 times 2 is 90

a car advertisement States that a certain car can accelerate from rest to70km/h in 7seconds find the car's average acceleration​

Answers

Answer:

Acceleration is 2.78 m/s²

Explanation:

Since the car is from rest, initial velocity, u is zero.

from first newton's equation of motion:

[tex]{ \bf{v = u + at}} \\ [/tex]

v is final velocity

u is initial velocity

a is acceleration

t is time

70 km/h is (70 × 1000 ÷ 3600) m/s = 19.44 m/s

[tex]{ \sf{19.44 = 0 + (a \times 7)}} \\ { \sf{7a = 19.44 }} \\ { \sf{a = 2.78 \: {ms}^{ - 2} }}[/tex]

The P.E stored by a mass spring system at an extension of 2 cm is 10 J. The P.E stored by the same system at an
extension of 4 cm will be:

Answers

Explanation:

extension(x) = 0.02m When the P.E is 10J.

extension(x)= 0.04m PE?.

P.E is proportional to Extension²

P.E/x² = P.E"/x"²

10/(0.02)² = P.E/(0.04)²

P.E= 10x(0.04)²/(0.02)²

P.E= 40J

Which statement describes the motion of a ball as it drops onto a vertical spring?
a. The acceleration of the ball decreases as the spring shrinks.
b. The accIleration of the ball decreases as the spring extends.
c. The velocity of the ball changes from positive to negative as the spring shrinks.
d. The velocity of the ball changes from negative to positive as the spring extends.

Answers

Answer:

F = M a    Newton's second law

F = - K x     force exerted by compressed spring

a = - K x / M

a) is true because the ball originally is accelerated due to gravity and this acceleration will decrease as the spring in compressed

One could argue for (d) if the downward direction was designated as negative

Prior to maximum compression of the spring the velocity would negative and as the spring began to extend (and the ball began move upward) the velocity of the ball would change from negative to positive

6. 498.82 mg comverted to kg​

Answers

Answer:

0.00049882 kg

........................

Answer:

498.82 mg=0.00049882 kg

Explanation:

To get this answer, you must multiply the quantity of mg by 0.000001, which is also 0.001². Since one gram is 1000 mg, and 1000 g is 1 kg, you must divide the amount of mg by one million, or multiply by 1/1000000, or 0.000001. I hope this helped you. Enjoy your day, and take care!

Why is running or jogging good aerobic excercise? Explain

Answers

Answer:

Running is faster, uses more kilojoules and demands more effort from the heart, lungs and muscles than jogging. Running requires a higher level of overall fitness than jogging. Both running and jogging are forms of aerobic exercise.

Explanation: