Write the equivalent formulas for velocity, acceleration, and force using the relationships covered for UCM, Newton’s Laws, and Gravitation.

Answers

Answer 1

Answer:

The newton’s second law is F=ma

The Gravitational force is [tex]F=\dfrac{Gm_{1}m_{2}}{r^2}[/tex]

Explanation:

Given that,

The equivalent formulas for velocity, acceleration, and force using the relationships covered for UCM, Newton’s Laws, and Gravitation.

We know that,

Velocity :

The velocity is equal to the rate of position of the object.

[tex]v=\dfrac{dx}{dt}[/tex]....(I)

Acceleration :

The acceleration is equal to the rate of velocity of the object.

[tex]a=\dfrac{dv}{dt}[/tex]....(II)

Newton’s second Laws

The force is equal to the change in momentum.

In mathematically,

[tex]F=\dfrac{d(p)}{dt}[/tex]

Put the value of p

[tex]F=\dfrac{d(mv)}{dt}[/tex]

[tex]F=m\dfrac{dv}{dt}[/tex]

Put the value from equation (II)

[tex]F=ma[/tex]

This is newton’s second laws.

Gravitational force :

The force is equal to the product of mass of objects and divided by square of distance.

In mathematically,

[tex]F=\dfrac{Gm_{1}m_{2}}{r^2}[/tex]

Where, m₁₂ = mass of first object

m= mass of second object

r = distance between both objects

Hence, The newton’s second law is F=ma

The Gravitational force is [tex]F=\dfrac{Gm_{1}m_{2}}{r^2}[/tex]


Related Questions

which equation according to ohms law

Answers

Answer: Ohm's law states that the voltage or potential difference between two points is directly proportional to the current or electricity passing through the resistance, and directly proportional to the resistance of the circuit. The formula for Ohm's law is V=IR.

what is the definition of sewer?

Answers

Answer:

an underground conduit for carrying off drainage water and waste matter

Explanation:

Answer:

an underground conduit for carrying off drainage water and waste matter.

Explanation:

If you know the answer please answer the following question down in the picture below.

Answers

i think it’s the second one: magnetic domains must come in pairs—one north and one south

A drug like cocaine causes more dopamine to be produced in the brain.


Please select the best answer from the choices provided

T
F

Answers

Answer:

True

Explanation:

A drug like cocaine causes more dopamine to be produced in the brain is True.

What is Dopamine?

Dopamine is a type of neurotransmitter which can be a monoamine. This dopamine will be produced in brain and it acts as a chemical messenger which will be used to communicate messages between the nerve cells in the brain and to the brain and the other parts of the body.

When an individual who takes the drugs such as heroin, nicotine, cocaine and methamphetamine can increases or promotes the neurochemical reaction which will produce or increases the amount of dopamine that is a primary factor which can be the addiction that is secreted by neurons in the brain's reward center.

The functions of the reward center is memory, movement, motivation, mood, attention and more.

The diseases caused by dopamine are higher dopamine levels lead to pleasure in the mind of an addict and it makes people forget the pain or stress and gives immense pleasure.

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The gravitational force of the Earth on the Moon is 1.99 x 1020 N.
If the mass of the Moon is 7.34 x 1022 kg, what is the acceleration
of the Moon?

Answers

Explanation:

ANSWER

g

m

=

R

2

GM

1.4=

R

2

(6.667×10

−11

)(7.34×10

22

)

R=

1.4

6.667×10

−11

(7.34×10

22

)

=

34.95×10

11

=1.87×10

6

m

HOPE IT'S HELP AND PLZ FOLLOW ME

A 50kg boy stands on a horizontal rough ground. The coefficient with a static friction is 0.68. The maximum static friction between the boy and the ground is ?

Answers

Answer:333

Explanation:

Which 4 of the following would be considered moderate or vigorous activities?

Question 2 options:

going for a run


vacuuming


surfing


basketball


golfing with a powered Cart.


bike riding

Answers

everything but vacuuming and golfing with a powered cart

In the early 1600s, Galileo Galilei performed a series of experiments to measure the acceleration of a ball rolling down a smooth inclined plane. He tried several ways to measure time, including water clocks and his own pulse. Suppose his pulse rate was 66 beats per minute, and he counted 11 beats for the ball to roll down the plane. How many seconds was the ball rolling?

Answers

Answer: A

Explanation: ive done this already bro i just wanted to help

Which is a sedimentary rock?
A: cools down
B: has large crystals
C: forms in layers
D: is formed from pressure and heat
ANSWER ASAP!!!

Answers

Answer:

d. is formed from pressure and heat

Explanation:

it is formed from hot magam

Ignoring air resistance, if a 20 kg ball and a 400 kg crate were both dropped from the
top of a building, the acceleration of the crate would be
the acceleration
of the ball.

Answers

The crate’s acceleration is gravity= 9.81m/s^2
The ball’s acceleration is also gravity=9.81m/s^2


An airplane flying due north at 90km/h is being blown due west at 50 km/h. What is the magnitude of the resultant velocity of the plane?

Answers

Answer: 103 km/hr

Explanation:

Guessed on ck-12 and it ended up being right.

Answer:

50

Explanation:

He/she guessed...Ig its 50.

why are those who take bribery or give bribery considered enemies of the nation?​

Answers

They would be considered enemies to the nation because they’re not doing their job as it should be done. For example, if a policemen takes a bribery from a man who has just stolen somethings, the policemen is obligated to report that incident. Although if he takes a bribery, he is choosing money over protecting his nation. Just my opinion though.

Solve.

h ÷ 4 = 9

h =

Answers

the answer is 36 because you multiply 4 on each side to cancel the divide by 4 out

A car travels 30 m in 5 seconds. After accelerating for 3 seconds, it travels 20 m in 2 seconds. The cars acceleration is ___m/s

Answers

divide them so 10m/s

Surfaces on the same body are assumed to experience meteorite impacts with the same frequency. If this is true, what could account for the stark contrast in impact crater density on bordering regions of Ganymede in the photo?

Answers

Answer:

The surface with fewer impact craters is a newer surface. It hasn’t been impacted as many times as the older surfaces

Explanation:

Sample Answer

Answer:

Newer surfaces are less damaged by impact craters, because they are less damaged by impact.

Explanation:

This is my answer.

An object is thrown downward from the top of a 175 meter building with an initial speed of 10m/s

Answers

Answer:

Explanation:

we can look for the final velocity of the object using the eqaution of motion as shown:

v² = u²+2gH

v is the  final velocity

u is the initial velocity = 10m/s

g is the acceleration due to gravity = 9.81m/s²

H is the height of the object = 175m

Subxtitute the given parameters inti the formula and get v:

v² = 10²+2(9.81)(175)

v² = 100+3433.5

v² = 3533.5

v = √3533.5

v = 59.44m/s

Hence the final velocity of the object is 59.44m/s

Earth, has a bigger mass than the Moon .
if you'll be able to go to the moon,
what happens to your weight?​

Answers

Decreased it because you can float a lot

How does the approximate number of atoms
in the air in your lungs compare to the num-
ber of breaths of air in the atmosphere of the
whole world?

I don’t understand what this is asking...

Answers

Consider the Earth as a sphere. Think of the atmosphere as having a height of say about 20000 m. The volume of a sphere is 4/3 * pi * r ^3.
Find the volume of a sphere of radius 6020000 m and subtract the volume of the Earth which is a sphere of radius 6000000 m (approx).
This would be the volume of air in m^3.

Approximate the lungs as a cube, it would be approx 0.2m x 0.2m x 0.2 m = 0.008 m^3

Divide the volume of air around the Earth by 0.008.

0.001 m^3 of air contains about 6 x 10^23 molecules which is about 12 x 10^23 atoms.

If your lungs are 0.008 m^3 then that would be about 96 x 10 ^23 or about 10^25 atoms.

Compare that number with the earlier number when dividing air in the atmosphere by 0.008.

I hope this helps. :)


3. What is the mass of a paratrooper who experiences an air resistance of 400 N and an acceleration of 4.5 m/s2
during a parachute jump.

Answers

Answer:

88.89kg

Explanation:

The formula for mass is m=F/a. If we plug in the values, we get m=400N/4.5m/s^2. The mass is 88.89kg. We know that the unit is in kg because one newton (N) is 1kg*m/s^2. The m/s^2 is cancelled out by the acceleration, and we are left with kg.

PLZ HELP!

The image here shows four soccer balls at four different locations on an uneven soccer field very near sea level. Which soccer ball has the greatest amount of potential energy?


Ball B
Ball C
Ball A
Ball D

Answers

Answer:

The answer is B.

Explanation:

Because that's the one that's more-so higher up than the other soccer balls. This grants the ball to have higher potential energy than the rest.

Quote:

"Your body is as weak as your soul, so it is easy to separate the two."

- Akuma

The ball b would have the greatest amount of the potential energy as the mass of each ball is the same then the ball on the highest altitude would have the greatest amount of the potential energy contained with it.

What is mechanical energy?

Mechanical energy is the combination of all the energy in motion represented by total kinetic energy and the total stored energy in the system which is represented by total potential energy.

The mechanical energy = potential energy + kinetic energy

As given in the problem, the image here shows four soccer balls at four different locations on an uneven soccer field very near sea level.

The potential energy of the ball = mass×gravity×height

Since each ball's mass is the same, the ball at the highest altitude would have the most potential energy within it. As a result, ball b would have the greatest quantity of potential energy.

Thus,the correct answer is option A.

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The mass of an unidentified rock is 15.5 grams. Students determine the volume of the rock by placing the rock in a cylinder with water. The students calculate the density of the rock. They determine the identity of the rock based on the density ranges in the table.

The students most likely have which type of rock?

Coal
Dolomite
Peridotite
Sandstone

Answers

Answer:

this density is in the range of Peridotite type rocks

Explanation:

In this graduated cylinder exercise we can directly read the volume of the rock

         V = (35 - 30) cm³

          V = 5 cm³

They also indicate the mass of the rock

          m = 15.5 gr.

Density is defined as the ratio of mass to volume

          ρ = 15.5 / 5

          ρ= 3.1  gr /cm³

When checking the attached table this density is in the range of Peridotite type rocks

The type of rock the students mostly like have is Peridotite.

We'll begin by calculating the volume of the rock. This can be obtained as follow:

Volume of water = 30 mL

Volume of water + rock = 35 mL

Volume of rock =?

Volume of rock = (Volume of water + rock) – (Volume of water)

Volume of rock = 35 – 30

Volume of rock = 5 mL

Finally, we shall determine the type of rock the students have by calculating the density of the rock. This can be obtained as follow:

Volume of rock = 5 mL = 5 cm³

Mass of rock = 15.5 g

Density of rock =?

Density = mass / volume

Density of rock = 15.5 / 5

Density of rock = 3.1 g/cm³

Comparing the density of the rock (i.e 3.1 g/cm³) with those given in table above, we can conclude that the rock is peridotite

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Which is the process by which a solid changes to a liquid?

Answers

Answer:

melting.

Explanation:

The process in which a solid changes to a liquid is called melting. The melting point is the temperature at which a solid changes to a liquid. 

a car is initially moving at 10 m/s and accelerates at a constant rate of 2 m/s^2 for 4 seconds, in a straight line. How far did the car carvel during this time?

Answers

Displacement equals (velocity times time) + 1/2 *(acceleration * time squared). =. (10*4) + 1/2 * (2*2^2) = 56 meters

A car is initially moving at 10 m/s and accelerates at a constant rate of  2 m/s², then the car will travel 56 meters.

What is Acceleration?

The rate of change in an object's velocity concerning time is known as acceleration in mechanics. The vector quantity of accelerations. The direction of the net force that is acting on an object determines its acceleration.

Since acceleration has both a magnitude and a direction, it is a vector quantity. Velocity is a vector quantity as well. The definition of acceleration is the change in velocity vector over a time interval divided by the time interval.

There are several types of acceleration :

Uniform AccelerationNon-Uniform AccelerationAverage Acceleration

According to the question, the given values are :

Initial Speed, u = 10 m/s

Acceleration, a = 2 m/s²

Time, t = 4 sec.

Use the Equation of motion to find the distance,

s = ut + 1/2 at²

s = 10(4) + 1/2 (2)(4)²

s = 40 + 16

s = 56 meters.

Hence, the distance traveled by car will be 56 meters.

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How long does it take an airplane to fly 1200 miles if it maintains a speed of 300 miles per hour

Answers

Answer:

The answer is

4 hrs

Explanation:

To find the time taken we use the formula

[tex]t = \frac{d}{v} \\ [/tex]

where

d is the distance covered

v is the velocity

t is the time

From the question

d = 1200 miles

v = 300 mi/hr

We have

[tex]t = \frac{1200}{300} = \frac{12}{3} \\ [/tex]

We have the final answer as

4 hrs

Hope this helps you

What is one other thing that needs to be controlled when testing the effect of particle size?

Answers

am sorry i thout this was my question not your answer sorry

temperature of the water must be controlled

What is most occurring type of element on the periodic table?

Answers

Answer:

Hydrogen is the most abundant element in the Universe; helium is second. However, after this, the rank of abundance does not continue to correspond to the atomic number; oxygen has abundance rank 3, but atomic number 8. All others are substantially less common.

Explanation:

15 Points!!!
Fermentation of glucose by yeast produces
A) ethyl alcohol and carbon dioxide.
B) lactic acid and carbon dioxide.
C) lactic acid and oxygen.
D) ethyl alcohol and oxygen.

Answers

Answer:

A

Explanation:

Ethanol fermentation causes bread dough to rise. Yeast organisms consume sugars in the dough and produce ethanol and carbon dioxide as waste products. The carbon dioxide forms bubbles in the dough, expanding it to a foam.

Fermentation of glucose by yeast produces ethyl alcohol and carbon dioxide. (option a)

Fermentation is a metabolic process that occurs in yeast and some other microorganisms when they lack oxygen. During this process, glucose, a simple sugar, is broken down into simpler compounds. The main goal of fermentation is to produce energy for the cell without the need for oxygen.

Yeast, a type of fungus, carries out alcoholic fermentation. In this process, yeast breaks down glucose into two primary products: ethyl alcohol (also known as ethanol) and carbon dioxide. The equation representing this fermentation process is as follows:

Glucose → Ethyl Alcohol + Carbon Dioxide + Energy

The carbon dioxide produced during fermentation is responsible for the formation of bubbles in dough, which causes bread to rise. It is also the reason behind the effervescence in alcoholic beverages like beer and champagne.

So, the correct option is (a).

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The difference of two numbers is 28. Find the number if the larger is 3 times smaller.​

Answers

Answer:

14,42

Explanation:

Let the smaller number be x

Hence, the larger number = 3x

Hence,

[tex]3x-x=28\\2x=28\\x=14[/tex]

Hence, the smaller number = x = 14

The larger number = 3x = 42

A car is moving at 18 m/s when it accelerates at 8 m/s2 for 2 sec. What is his new velocity ?

Answers

Vf= at + Vi
Since at = 8m/s2 * 2 = 16m/s2
Vi=18m/s
=>Vf = 16m/s2 + 18m/s = 34m/s
So, the new velocity is 34m/s

A 4kg block and a 2kg block can move on horizontal frictionless surface. The blocks are accelerated by a +12-N force that pushes the large block against the smaller one.'

a) Determine the force that the 2kg block exerts on the 4kg block

b) Determine the force that the 4kg block exerts on the 2kg block.

Answers

Answer:

a) -4 N

b) +4 N

Explanation:

Draw a free body diagram for each block.

For the large block, there are 2 forces: 12 N pushing to the right, and F pushing to the left.

For the small block, there is 1 force, F pushing to the right.

There are also weight and normal forces in the vertical direction, but we can ignore those.

Sum of forces on the large block in the x direction:

∑F = ma

12 − F = 4a

Sum of forces on the small block in the x direction:

∑F = ma

F = 2a

2F = 4a

Substitute:

12 − F = 2F

12 = 3F

F = 4

The small block pushes on the large block 4 N to the left (-4 N).

The large block pushes on the small block 4 N to the right (+4 N).

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