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


The total mass of the carts is 1000 kg. The first
drop is 77.7 m. What is the speed of the coaster
at the bottom of the hill?

Answers

Answer:41xm/s

Explanation:

Answer:41xm/s

Explanation:

I found this for you hope it helps.

NO LINKS! What are the definitions of initial horizontal velocity and initial vertical velocity? Please help! This like is my 10th time asking this question because many people have been scamming me.

Answers

Explanation:

Initial horizontal velocity

If a projectile is launched at an angle to the horizontal, then the initial velocity of the projectile has both a horizontal and a vertical component. The horizontal velocity component (vx) describes the influence of the velocity in displacing the projectile horizontally.

The initial horizontal velocity can also be determined by measuring the diameter d of the ball and dividing by the time t that it takes for the ball to move across the photogate. That is Vo = d/t.

Initial vertical velocity

Vertical velocity refers to the speed of an object's movement in a vertical direction.The initial vertical velocity is the vertical component of the initial velocity: v 0 y = v 0 sin θ 0 = ( 30.0 m / s ) sin 45 ° = 21.2 m / s .

Please I need help fast <3

Answers

Answer:

Where is the picture send again please

Explanation:

2. If Joe rides his bicycle in a straight line for 15 min with an average velocity of 12.5 km/h south, how far has he ridden?

Answers

Answer:

3.125 Kilometers

Explanation:

To answer this you just multiply 12.5 by .25 (since 15 minutes is a quarter of an hour) to get 3.125 kilometers ridden.

What is/are the difference between wavelength and spectral lines?

Answers

Answer:

Definition of spectral line: one of a series of linear images formed by a spectrograph or similar instrument and corresponding to a narrow portion of the spectrum of the radiation emitted or absorbed by a particular source.

Definition of Wavelength: can be defined as the distance between two successive crests or troughs of a wave. It is measured in the direction of the wave. ... Wavelength is inversely proportional to frequency. This means the longer the wavelength, lower the frequency.

So, the spectrum is the range of wavelength in visible light. While, wavelength is the length of a wave.

Explanation:

I hope this helps!

how do humans affect the lithosphere

Answers

By farming, building structure, mining and all manner of activities that change the original.

The ______ of Saturn vary in thickness and are composed of icy chunks ranging in size from sand to boulders (and even larger).

Answers

Answer:

"rings" - viewed from a distance, Saturn appears to be surrounded by rings

Complete the following sentence. Pressure in a liquid depends on the __________ of the liquid.

Answers

Answer:

density

Explanation:

because it is directly proportional

Pressure in a liquid depends on the density of the liquid.

What is density?

Density is defined as the mass per unit volume. It is an important parameter to understand the fluid and its properties. Its unit is kg/m³.

The pressure in the liquid is;

P = ρgh

Where,

h is the height

ρ is the density

g is the acceleration due to gravity

The density of a liquid determines its pressure.

Hence, density is the correct answer.

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If you blow up a balloon, tie it off, and release it, it will fall to the ground.
Why does it fall instead of float?
NO LINKS YA FILTHY VERMINS

Answers

Answer:

carbon dioxide (what you are blowing up the balloon with) is a heavy gas. so when you fill the Balloon with it, the balloon will not float. helium is a light gas and floats. gravity takes another. part in this

An object is in equilibrium. Which force vector diagram could represent the force(s) acting on the object

Answers

Answer:

velocity and force

Explanation:

Velocity and force vector diagram represent the force acting on the object.

What is vector diagram?

Diagrams are called vector diagrams to use a vector arrowhead to show the magnitude or direction of a vector quantity. The velocity of an item in motion could be represented in vector diagrams. A vector diagram might be used, for instance, to depict the motion of an automobile traveling down a road.

What is force?

A force was an influence that will have the power to alter an object's motion.

Therefore, velocity and force vector diagram represent the force acting on the object.

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How many minutes did it take for all of the gold in the sample to change from solid to liquid? Time taken minutes =​

Answers

Calculate the amount of time it takes to heat the water by dividing the power used to heat the water, which was determined to be 1.867 with the heater element rating, listed in kW. So if your heater element rating was 3.6 kW, your equation would look like this: heating time = 1.867 ÷ 3.6, or heating time =0.52 hours.

choose 3 ways to keep our bodies healthy
. play in the mud
.sanitize your hands
. break a window
. eat vegies
. eat burgers
. take daily showers
. bite your arm
(i already know it)

Answers

Sanitize your hands, eat veggies, take daily showers. Hope this helped! (No explanation needed lol)



This was fun to answer.

Which of toby's answers is a correct description of what happens when a 1-kg cart traveling at 1 m/s collides inelastically with another 1-kg cart at rest?.

Answers

Answer:

hi I don't know sorry sorry forgive me

Explanation:

sorry

The amount of heat that is needed to raise the temperature of 1
kg of some material by 1°C is called the of the material.
a. specific heat
b. state
c. temperature
d. charge

Answers

Answer:

a. specific heat

Explanation:

a. specific heat

A. Specific heat

Explanation:

The specific amount of heat produced to an object of specific mass is known as specific heat.

why the speed of sound in solid and liquid is not signoficantly affected by temperature

Answers

Explanation:

because the molecules are closer together and more tightly bonded in solids

PLS HURRY THIS IS DUE TODAY!!!
I WILL GIVE BRAINLIEST!!!!
NO LINKS AND NO STEALING POINTS,
PLS ANSWER IF YOU KNOW FOR SURE WHAT IT IS!!!
THE QUESTION IS IN THE PICTURE ATTACHED!

Answers

Answer:

B. between carbon and oxygen

Explanation:

formaldehyde has a carbon atom that has single bonds with two hydrogen atoms on both sides, and it has a double bond with oxygen.

Answer:

The placement of the double bond is between carbon atom and oxygen atom

this same question was for me so I did and got it correct

please mark me as brainliest

A block requires an applied force of 20N to begin moving it to the right. What is the maximum static friction?
a. Less than 20 N
b. Exactly 20 N
c. Just over 20 N
d.Twice as much as the block's weight

Answers

Answer:

A.

Explanation:

Thats my answer

Please make me branlies answer

Which wave has the highest frequency?

Answers

Answer:

e

Explanation:

It is possible to create a wave having some frequency on a rope and then gradually it will become faster. During this time wavelength becomes shorter. Here the wave 'e' is found to has highest frequency. The correct option is E.

What is frequency of a wave?

The number of oscillations of a wave per unit time is defined as the frequency. It is usually measured in Hertz and the frequency is directly proportional to the pitch. Humans can hear sounds with frequencies ranging between 20-20000 Hz.

The sounds with frequencies over the human ears range are called the ultrasonic sound and sounds with frequencies less than the audible range are called infrasonic sound. The wavelength and frequency are inversely proportional to each other.

When wavelength increases, frequency decreases and vice versa. So here wave E has maximum number of vibrations.

Thus the correct option is E.

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Describe the changes that occur inside a helium balloon as it rises from sea level

Answers

Answer:

The balloon expands in the number of particles per cubic centimeter decreases. This happens because as it expands there is a decrease in the density of area. The Dead Sea is a solution that is so dense that you easily float on it.

A narrow slit is illuminated with sodium yellow light of wavelength 598 nm. If the central maximum extends to latex: \pm30^\circ± 30 â, how wide is the slit?.

Answers

Answer:

because of the gravity of the earth

In which material does the light wave have the larger wavelength?

Answers

Answer: in the smaller/ thinner pieces.

A piece of iron has a density of 7.86 g/cm3 and a mass of 1.09 x 10^-1 kg. Calculate the volume of the piece of iron.

Answers

Calculate mass of lead:
1.00 cm3 lead x 11.4 g/cm3 = 11.4 g lead on one side of balance

To balance that, one needs 11.4 g of iron on the other pan. Calculate volume of iron to give you 11.4 g:
11.4 g iron x 1 cm3/7.87 g = 1.45 cm3 of iron needed


Brain list please

Global warming means that

Answers

Answer:

The earth is heating up.

Explanation:

This is due to human activities, primarily fossil fuel burning, which increases heat-trapping greenhouse gas levels in Earth's atmosphere.

which color of light, red or blue, travels faster in crown glass?

Answers

Answer:

Red

Explanation:

The index of refraction for red light in crown glass is smaller than the index of refraction for blue light, which means the speed of red light is larger than the speed of blue light in crown glass.

What does 1 N = ? please I need help?​

Answers

[tex]1~N = 1~ \text{kg~ms}{^{-2}[/tex]

1 N = 1 kg × m/s²

One Newton is equal to 1 kilogram multiplied by meter by second squared.

_____

Hope it helps ⚜

Plzzzzzzzzz
Help
Will give brainlessness

Answers

Answer:

1. A

2. A; distance is scalar, displacement is vector

3. C ; position is on the y-axis

URGENT! 40 POINTS! For each situation below, make a model of the situation and find the work done on the box using both energy and forces.


1. A 2 kg box with some initial velocity slides up a frictionless ramp, which is at a 15ᵒ


angle to the ground, until the box comes to rest 1 second later.


2. A 2 kg box initially at rest slides down a frictionless ramp (at 15ᵒ from the ground) for


1 second.


3. A 2 kg box is thrown upward with an initial speed of 3.5 m/s. Consider the box from


the time it was thrown until it reaches its maximum height.


4. A 2 kg box is dropped from an initial height of 10 m.



I have some physics, I just don't know what formulas to use or where to start. Help is much appreciated.

Answers

Answer:

i dont know but ask your mom for help

Explanation:

some brainly things dont work so ask your mom for some help or someone you know ok

3.2.1.3.2 Practice with Work and Forces …A_K_

The efficiency of a motor is 15%. The student calculated the useful output energy transfer is 1.20J. Calculate the total input energy transfer.

Answers

Answer:

[tex]8.0\; \rm J[/tex].

Explanation:

The efficiency of a machine is the ratio between the useful output and the energy input:

[tex]\begin{aligned}\text{efficiency} &= \frac{\text{useful output}}{\text{energy input}} \times 100\%\end{aligned}[/tex]

Rearrange this equation to find energy input in terms of efficiency and useful output:

[tex]\displaystyle \text{energy input} = \frac{\text{useful output}}{\text{efficiency} / (100\%)}[/tex].

Substitute in the values: [tex]\text{useful output} = 1.2\; \rm J[/tex] and [tex]\text{efficiency} = 15\%[/tex]. Evaluate to find the value of [tex]\text{energy input}[/tex]:

[tex]\begin{aligned} \text{energy input} &= \frac{\text{useful output}}{\text{efficiency} / (100\%)} \\ &= \frac{1.20\; \rm J}{15\% / (100\%)} \\ &= 8.0\; \rm J\end{aligned}[/tex].

(Rounded to two significant figures as in the value of efficiency.)

Where is the natural light display called aurora borealis located?

Answers

The natural light display called aurora borealis is located in the northern

hemisphere.

There are two types of aurora which are called aurora borealis and aurora

australis. The aurora borealis is located in the Northern hemisphere while

the aurora australis is located in the Southern hemisphere.

They receive their energy through the interaction of charged particles

on the Sun and Earth to produce the light display. An example

of the interaction involves solar wind with atoms of the upper atmosphere.

Read more on https://brainly.com/question/20191244

Answer:

northern and southern hemisphere

Explanation:

How to calculate angular velocity.

Answers

Answer:

Answer below

Explanation:

We can rearrange this statement to get the angular velocity equation: = r v / |r|2, where all of these variables are vectors and |r| is the radius's absolute value. The angular velocity is really a pseudovector with a direction perpendicular to the plane of rotational movement.

The rotating movement of bodies is described by angular velocity. It determines how quickly they rotate around a central point. Rotations may be divided into two categories. The first explains the motion of an object's centre of mass around a certain point in space, which is referred to as an origin. Planets orbiting the Sun, for example, or an automobile exiting a roadway are two instances.

The first angular velocity equation is similar to the linear velocity equation: = (2 - 1) / t = / t, where 1 and 2 are two values of angles on a circle, and is the difference between them. t is the time it takes for the angle to shift. As you can see, there is a ratio of the positional change in a period for normal velocity, but we utilise angle instead of distance here. Definition of angular velocity using linear velocity The second angular velocity formula, v = r, may be obtained from the linear velocity and radius relationship using the cross product.

_______________________________________________________

(Hope this helps can I pls have brainlist (crown)☺️)

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