Prove that the two equations shown below are equivalent.​

F = ma and F = p/t​

Answers

Answer 1

Newton’s Second Law of Motion is defined as Force is equal to the rate of change of momentum. For a constant mass, force equals mass times acceleration.

[tex]\Delta p = mv - mu \\\\\implies \Delta p = m(v-u) \\\\F = \dfrac{\Delta p}{\Delta t} = \dfrac{m(v-u)}{\Delta t} = ma[/tex]

Answer 2

F = ma is the formula of Newton’s Second Law of Motion.

To prove Newton's second law of motion,

Given Force F = Δp/Δt

What is relation between F = ma and F = Δp/Δt?Newton’s Second Law of Motion is defined as Force is equal to the rate of change of momentum. The second law of Newton can be described as the acceleration of an object which produces a net force is directly proportional to the magnitude of the net force, in the same path i.e., direction as the net force, and inversely proportional to the mass of the object.As the acceleration has its magnitude and direction it is a vector quantity.

Proof for F=ma

     Let us consider an object of mass m, moving along a straight line with an initial velocity u, final velocity v and it has some particular time t and thus Momentum can be related as,

For initial velocity u, p1 = m × u

The final velocity v, p2 = m × v

The change in momentum can be expressed as

p2 – p1 = (m × v) – (m × u)

p2 – p1 = m (v – u)

Here, we know that the rate of change of momentum with respect to time is proportional to the applied force.

The applied force F,

F ∝ [m (v – u)]/t

F ∝ m × a

As acceleration (a) is the rate of change of velocity with respect to time.

F = k × m × a

F = ma

where k can be the constant.

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Related Questions

How to convert acceleration to velocity.

Answers

You can't. Velocity and acceleration measure two different things, so their units are incompatible. It's like asking, "How many meters does this book weigh?"

Maybe you mean "find" acceleration using given velocities, or a velocity function?

ECONOMIC Q‼️
Which of these is a common concern of an economist ?

A-The distributions of populations and earths resources
B-How people have organized the rules and laws of their societies
C-The cultural habits and social customs of societies
D-How well resources are used by a society

Answers

Answer:

D-How well resources are used by a society

Explanation:

Most economists are concerned with practical applications of economic policy in a particular area, such as finance, labor, agriculture, transportation...

Hope this helps luvv :)

A ball is fired from a cannon at point 1 and follows the trajectory shown in the figure below. Air
resistance may be neglected. Five possible vectors are also shown in the figure; the letter E represents
the zero vector.

D
E:
C
B
a
Which vector best represents the ball's velocity at position 2?
Which vector best represents the ball's acceleration at point 2?
Which vector best represents the ball's velocity at position 3?
Which vector best represents the ball's acceleration at point 3?
du
b)
A
d)

Answers

In trajectory, acceleration vector is not the same with the velocity vector but it depends on the change in velocity. The acceleration path is perpendicular to the velocity vector path. The Correct answers are:

a.) D

b.) B

c.) C

d.) A

A Vector is a quantity that has both magnitude and direction.

Given that a  ball is fired from a cannon at point 1 and follows the trajectory shown in the figure.

a.) The vector best represents the ball's velocity at position 2 is D

b.) The vector best represents the ball's acceleration at point 2 is B

c.) Which vector best represents the ball's velocity at position 3 = C

d.) Which vector best represents the ball's acceleration at point  = A

In trajectory, acceleration vector is not the same with the velocity vector but depends on the change in velocity. The acceleration path is perpendicular to the velocity vector path.

At point 3, since the ball path is parabolic, the velocity at that point is not equal to zero but will tend to take a horizontal path.

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At about 1 second after the beginning of the universe, one type of particle was able to start traveling freely through the universe. These particles are still with us, but they are extremely hard to detect. They are called:

Answers

The Big Bang theory allows finding the result for which particles were formed in the 1 s of the universe is:

The quark subatomic particles were the first to form due to the high amount of energy.

The Big Bang theory says that the universe is formed about 14 billion years ago, of a structure that is very high energy.

Einstein's equation establishes the relationship between energy and matter, establishing that energy can be converted into matter.

              E = m c²

Where E is energy, m is mass, and c is the speed of light.

In the 1 s of the universe the energy density was so high that all subatomic particles were formed, the first being quarks.

When the universe cooled enough, the quarks combined to form protons and neutrons, from which atoms were formed.

In conclusion, using the Big Bang theory we can find the result for which particles were formed in the 1 s of the universe is:

The quark subatomic particles were the first to form due to the high amount of energy.

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What kind of cord is this no links please

Answers

Answer:

if i'm not mistaken that's either a plug in cord for a certain device, or what i am assuming to be a usb software cord.

Explanation:

helpp I'll give brainliest smth
Why there has to be a driving force to keep the car moving at a constant speed?​

Answers

Explanation:

For example, when a car travels at a constant speed, the driving force from the engine is balanced by resistive forces such as air resistance and friction in the car's moving parts. ... an object falling at terminal velocity experiences the same air resistance as its weight.

When waves are closer together and there are more waves, then the wave has a higher ____________.

Answers

Answer:

frequency

Explanation:

the closer the waves are the higher the pitch of the sound.

The mass of a basketball is three times greater than the mass of a softball. Compare the momentums of a softball and a basketball if they both are moving at the same velocity.

Answers

Answer:

The momentum of the basketball is three times that of the softball. Momentum equals mass times velocity. Therefore, if the basketball and softball are moving at the same velocity, and the basketball has three times the mass of the softball, the basketball has three times the momentum of the softball.

Explanation:

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a 10kg model rocket is fired at a 60 degree angle from horizontal from the football field with a thrust of 200N. what is the acceleration of the rocket?​

Answers

Answer:

the acceleration of the rocket is: a=vemΔmΔt−g a = v e m Δ m Δ t − g .

Explanation:

I answered this before.

hope this helps! :)


1. A 12 kilogram block is sitting on a platform 24 m high. How much Potential energy does
it contain?

Answers

The amount of potential energy the block contains is 2,822.4 Joules

Given the following data:

Mass of block = 12 kgHeight of platform = 24 meters.

We know that the acceleration due to gravity (g) of an object on planet Earth is equal to 9.8 [tex]m/s^2[/tex].

To determine the amount of potential energy the block contains:

Mathematically, potential energy (P.E) is given by the formula;

[tex]P.E = mgh[/tex]

Where:

m is the mass of object.g is the acceleration due to gravity.h is the height of an object.

Substituting the parameters into the formula, we have;

[tex]P.E = 12 \times 9.8 \times 24[/tex]

Potential energy (P.E) = 2,822.4 Joules

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Where could light travel the easiest and fastest?

A) through air
B) through empty space
C) through liquid hydrogen

Answers

Explanation:

Light travels fastest through air

Answer:

try through air

Explanation:

Fill out the material order form with the Quantity (number of each item) and total cost for
that item (Cost Quantity). Add the totals to ensure you do not exceed $100.
YOU HAVE $100 TO SPEND. NO BONUS POINTS FOR SAVING S.
Use the materials carefully, as they will not be replaced if you damage
them.
Material
Cost ($) Quantity
Cost x Quantity
Straw
2
Paperclip (large)
2.
String (12")
3
Tooth pick
3
Cup
5
Rubber band
5
7
Tape (0.5 m)
7
Paper (8.5" x 11")
Tissue Paper
10
Duct Tape
(.25m)
).
10
Cotton ball
12
Balloon
15
Paper plate
15
Total Cost =

Answers

Answer:

Explanation:

Material:                 Cost ($):          Quantity:       Cost x Quantity:

Straw                          2$                    2x                   2$ x 2

Paperclip                   2$                     2x                   2$ x 2

String                          3$                    1x                    3$ x 1

Toothpick                  3$                      1x                   3$ x 1

Cup                            5$                      1x                    5$ x 1

Rubber band              5$                     1x                    5$ x 1

Tape                            7$                    1x                    7$ x 1

Paper                          7$                     1x                    7$ x 1

Tissue Paper             10$                    1x                   10$ x 1

Duct Tape                  10$                    1x                    10$ x 1

Cotton ball                 12$                    1x                     12$ x 1

Balloon                       15$                    1x                    15$ x 1

Paper Plate                15$                     1x                   15$ x 1

                                                                            total:  100$

hope this really helped!!

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Column A
Column B
1.
Frequency
a. Ohm
2.
Amplitude for sound
b. Decibel
3
Force
C. Joule
4
Distance
d. Newton
5.
Current
e. Amperdiet
6.
Resistance
f. Meter
7.
Voltage
g. Hertz
8.
Energy
h. Volt

Answers

Answer:its 3 and 5

Explanation:

j

Which type of solid is dry ice (solid carbon dioxide)? ionic atomic molecular none of the above.

Answers

Dry ice is a molecular crystal.

Answer: molecular solid

Explanation:

helppp mee pllleasse

Answers

Answer:

up swelling moves water horizontally

State the general purpose of an experiment, using the terms dependent and independent variable

Answers

Answer:

Image result for State the general purpose of an experiment, using the terms dependent and independent variable

You can think of independent and dependent variables in terms of cause and effect: an independent variable is the variable you think is the cause, while a dependent variable is the effect. In an experiment, you manipulate the independent variable and measure the outcome in the dependent variable

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PLEASE HELP!!!!!!!!!!!
A 12 volt car battery produces more current than a 1.5 volt battery for a TV remote because


A. The TV remote has a greater difference in electric potential energy


B. The car battery has more kinetic energy


C. The TV remote has more kinetic energy


D. The car battery has a greater difference in electric potential energy

Answers

A 12 volt car battery will produces more current than a 1.5 volt battery for a TV remote because the car battery has a greater difference in electric potential energy than a 1.5 Volt battery. The correct answer is D

The potential difference between any two point in a circuit is the work done when one coulomb of charge moves from one point to the other. Potential difference is a kind of electrical pressure difference between two point.

The difference in electric potential in a 12 Volt battery is greater than the difference in electric potential in a 1.5 Volt battery.

According to Ohm's law, Voltage supplied is proportional to current produced. That is, V = lR. Where R = resistance.

A 12 volt car battery will produces more current than a 1.5 volt battery for a TV remote because the car battery has a greater difference in electric potential energy than a 1.5 Volt battery.

Therefore, the correct answer is the option D

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I rode my bicycle to grandmother's house at 6 km/h in a flat road for 5 min before reach a hill. I went at 2 km/h up the hill for 3minutes. I met a friend and stopped to talk for 5 minutes. I went on at 2 km/h to my grandmother's house. Draw (plot) the v against t graph for this motion.​

Answers

The graph can be plotted based on the given information which are given

in pairs (velocity and time), and which the coordinate pairs are formed.

Please find attached the required v against t graph created with MS Excel

Reasons:

The given data are presented in a tabular form as follows;

[tex]\begin{tabular}{|c|c|c}\underline{Duration (Minutes)} & \underline{Speed (km/h)}\\0 - 5 &6 \\5 - 8&2\\8 -13&0&\\13- &2&\end{array}[/tex]

The velocity time graph can be plotted using the above table values on

MS Excel using the above table elaborated as follows;

[tex]\begin{tabular}{|c|c|c}\underline{Duration (Minutes)} & \underline{Speed (km/h)}\\0 &6 \\5&6\\5 &2\\8&2\\8&0\\13&0&\\13 &2&\end{array}[/tex]

The attached graph can then be created using the Insert Chart menu

after selecting the data above inputted in the spreadsheet button on MS

Excel.

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what do u guys think of my drawing?

Answers

Answer: yess sirrrrrrrr

Explanation:

Answer:

oou I like it! u did a good job ^^

You find a rock that is about 20 grams large. This rock contains about 10 grams of Uranium-235 and 10 grams of the element it decays into (Thorium-231). The half life of Uranium-235 is 700 million years. How old is this rock?

Answers

The age of the given rock is 700 million years.

The given parameters;

original mass of the rock, = 20 gmass of the rock remaining after decay, = 10 ghalf life of Uranium, [tex]t_{1/2}[/tex] = 700 years

age of the rock ----------------------------- mass remaining

0 [tex](t_0)[/tex]  -------------------------------------------  20 g

1 half life ([tex]1 \ t_{1/2}[/tex] ) ------------------------------ 10 g

Age of the rock [tex]= t_{1/2} - t_0 = 700 \ - 0 = 700 \ million \ years[/tex]

Thus, the age of the given rock is 700 million years.

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Using your outline and the materials you’ve gathered, write a 500- to 750-word paper using word processing software. Be sure to proofread and revise your writing to catch any errors in grammar, spelling, logic, or organization. Add a works cited page at the end to give credit to your sources. Submit your completed paper along with this activity to your teacher for evaluation.

please do it based off of Werner Heisenberg the scientist.

Answers

Answer:

im half new how does this work

Explanation:

Answer:Werner Heisenberg was born on 5th December, 1901, at Wurzburg. He was the son of Dr. August Heisenberg and his wife Annie Wecklein. His father later became Professor of the Middle and Modern Greek languages in the University of Munich. It was probably due to his influence that Heisenberg remarked, when the Japanese physicist Yukawa discovered the particle now known as the meson and the term “mesotron” was proposed for it, that the Greek word “mesos” has no “tr” in it, with the result that the name “mesotron” was changed to “meson”.Heisenberg went to the Maximilian school at Munich until 1920, when he went to the University of Munich to study physics under Sommerfeld, Wien, Pringsheim, and Rosenthal. During the winter of 1922-1923 he went to Göttingen to study physics under Max Born, Franck, and Hilbert. In 1923 he took his Ph.D. at the University of Munich and then became Assistant to Max Born at the University of Göttingen, and in 1924 he gained the venia legendi at that University.From 1924 until 1925 he worked, with a Rockefeller Grant, with Nlels Bohr, at the University of Copenhagen, returning for the summer of 1925 to Göttingen.In 1926 he was appointed Lecturer in Theoretical Physics at the University of Copenhagen under Nlels Bohr and in 1927, when he was only 26, he was appointed Professor of Theoretical Physics at the University of Leipzig.In 1929 he went on a lecture tour to the United States, Japan, and India.In 1941 he was appointed Professor of Physics at the University of Berlin and Director of the Kaiser Wilhelm Institute for Physics there.At the end of the Second World War he, and other German physicists, were taken prisoner by American troops and sent to England, but in 1946 he returned to Germany and reorganized, with his colleagues, the Institute for Physics at Göttingen. This Institute was, in 1948, renamed the Max Planck Institute for Physics.In 1948 Heisenberg stayed for some months in Cambridge, England, to give lectures, and in 1950 and 1954 he was invited to lecture in the United States. In the winter of 1955-1956 he gave the Gifford Lectures at the University of St. Andrews, Scotland, these lectures being subsequently published as a book.During 1955 Heisenberg was occupied with preparations for the removal of the Max Planck Institute for Physics to Munich. Still Director of this Institute, he went with it to Munich and in 1958 he was appointed Professor of Physics in the University of Munich. His Institute was then renamed the Max Planck Institute for Physics and Astrophysics.

a metal wire has a resistance of 13.00 at a temperature of 25.0 degree celsius

Answers

Explanation:

what exactly are you asking for?

The Kentucky Derby is one of the most exciting horse races run every year. In 1973, the horse Secretariat set a record that still stands. This 500-kg horse ran the 2000-m track in 120 s. What was Secretariat’s average kinetic energy? (1 kJ = 1000 J)

Need answers with explanaitions please

A. 4.2 kJ
B. 8.3 kJ
C. 69.0 kJ
D. 139.0 kJ

Answers

Answer:

C.69 kJ

Explanation:

kinetic energy

[tex] = 1 \div 2mv {}^{2} [/tex]

C 69.0 kj is correct

discrete packets of kinetic energy in light are called

Answers

Answer:

Photons

Explanation:

I just know

Discrete packets of kinetic energy in light are called photons. Photons are fundamental particles of light and electromagnetic radiation. The correct answer is photons.

Photons are fundamental particles of light and electromagnetic radiation. They carry energy in discrete quantities, known as quanta or packets, and exhibit both wave-like and particle-like properties.

The energy of a photon is directly proportional to its frequency, and inversely proportional to its wavelength. When light interacts with matter, it can transfer its energy to the particles it interacts with, leading to various phenomena such as absorption, reflection, and emission.

Therefore, Discrete packets of kinetic energy in light are called photons.

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What is an energy storage device composed of electrochemical cells?​

Answers

An energy storage device composed of electrochemical cells is referred to as: battery.

A power source can be defined as a source of electrical energy that is used to power all electronic devices.

Generally, a power source can be classified into two (2) main categories and these include:

Alternating current (AC)Direct current (DC)

A battery refers to an energy storage device that comprises electrochemical cells and it serve as a source of direct current (DC). Also, sometimes a battery can be recharged when its electrochemical cells are still active.

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Answer:

Battery is an electrical energy storage device consisting of one or more electrochemical cells with external connections that provide power to electrical devices such as flashlights, smartphones, and electric cars.

5. How are electromagnetic waves similar to ocean waves?.

Answers

Answer:

Electromagnetic waves have crests and troughs similar to those of ocean waves. The distance between crests is the wavelength. The shortest wavelengths are just fractions of the size of an atom, while the longest wavelengths scientists currently study can be larger than the diameter of our planet!

Explanation:

hope it's helps u ...........!

an object initially moving with 12m/s accelerates uniformly by3m/s^2 for 10 seconds how far does it travel in first 7 seconds​

Answers

Answer:

157.5

Explanation:

X=vi *t + 0.5*a*t^2

vi=12, t=7, a=3

x= 12*7 + 0.5*3*7^2

= 84+ 73.5= 157.5 m

A cyclist sitting still at the top of a hill displays gravitational potential energy. What makes it possible for the cyclist to have this type of energy?

Answers

Explanation:

because its speed (v) is 0

Train car A is at rest when it is hit by train car B. The two cars, which have the same mass, stick together and move off after the collision. How does the final velocity of train cars A and B after the collision compare to the initial velocity of train car B before the collision?.

Answers

The value of the final velocity of train cars A and B after the collision compare to the initial velocity of train car B before the collision is [tex]v = \frac{ \ m_bv_b_1}{m_a \ + \ m_b}[/tex].

According to the principle of conservation of linear momentum, the total momentum before and after collision is conversed.

[tex]m_av_a_1 + m_bv_b_1 = v(m_a + m_b)[/tex]

where;

[tex]v_a_1 \ \ and \ \ v_b_1[/tex] are the initial velocity of the cars before collisionv is the final velocity of the cars after collision

since the train car A is at rest, [tex]v_a _1 = 0[/tex]

[tex]m_bv_b_1 = v(m_a + m_b)[/tex]

The relationship between the final velocity and initial velocity of the cars is given as;

[tex]v = \frac{ \ m_bv_b_1}{m_a \ + \ m_b}[/tex]

Thus, the value of the final velocity of train cars A and B after the collision compare to the initial velocity of train car B before the collision is [tex]v = \frac{ \ m_bv_b_1}{m_a \ + \ m_b}[/tex].

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Answer: the answer is the third option. Edge 2021

Explanation: i just answered the problem

A boy pushes a stationary box of mass 20 kg with a force of 50 N.
Calculate the acceleration of the box. (Assume that there is no friction.)

Answers

Answer:

2.5m/s^2

Explanation:

Since there is no friction, the only force acting on the box is the applied force

We can now use the equation Fnet = ma

and we can rearrange for a

a = Fnet/m

now input the values

a = 50N/20kg

a = 2.5 m/s^2

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