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

Can anyone help me with this question? I’ll give BRAINLIEST to whoever answers first

Answers

Answer:

a) F = 84.64N

b) The force has to increase.

Explanation:

First of all, let's convert everything to the same unit system:

Vo = 0 m/s    Vf = 98 mi/h * 1609.34 m / 1mi * 1h / 3600s = 43.8m/s

d = 1.7m         m = 0.15kg

We can calculate force as:

F = m*a    where a is the acceleration experiencd by the ball and m is its mass.

In order to calculate acceleration, we can use this formula:

   Solving for a:

Now, the force will be:

F = m * a = 84.6N

As we can see in that previous equation, the force is directly proportional to the mass of the ball, so, assuming the final speed of the ball is the same as before (that is, the acceleration is the same), the force will increase in the same proportion as the mass does.

A block of weight W is pulled a distance L along a horizontal table. The work done by the weight is ?

Answers

Work = Force x distance.
Distance = L

Force = mass x acceleration
Work done = FL
Work done = maL

Find the displacement in the time interval 3 seconds to 4 seconds
A. 1m
B.3m
C.7m
D.9m

Answers

Answer:

B. 3m

Explanation:

Took the quiz.

Hope this helps!!

What is the frequency of light having a wavelength of 4. 50 x 10-6 cm.

Answers

The frequency of a photon of red light with wavelength 4.50 x 10−7m is 6.67 x 1014Hz.

Surface ocean currents are generated MOSTLY by A) wind. B) tides. C) water density. D) the Coriolis effect.

Answers

Answer:

I think it's D) the Coriolis Effect

Explanation:

Answer: THE ANSWER IS D) the Coriolis effect.

Explanation: I GOT A 100 ON THE TEST

write two example in which chemical energy is converted into heat energy ​

Answers

Answer:

batteries in an electric heater, a nuclear power plant

Explanation:

sorry if it wrong g

I need help ASAP pls be right sn know what your doing

Answers

Answer: Biology

This is because the first two make no sense and physics is the study of matter and energy. Biology, however, studies the life of plants and animals, which can be used for renewable energy.

Saturn’s moon titan has a mass of 1.35 × 10^23 kg. if titan is 1.19 × 10^6 km from saturn, and saturn’s mass is 5.86 × 1026 kg, what is the gravitational force between saturn and its moon?

Answers

Answer:The gravitational force equation is Fg=(G*M*m)/r² where, G is the gravitational constant, G=6.67*10^-11 m³/kg*s², M is the mass of Saturn, M=5.86*10^26, m is the mass of Titan, m=1.35*10^23 and r is the distance, r=1.19*10^6 km=1.19*10^9 m. Now we simply input the numbers into the equation:

Fg=(6.67*10^-11)*(5.86*10^26)*(1.35*10^23)/(1.19*10^6)²

Fg=(5.277*10^39)/(1.41*10^18)=3.743*10^21 N  

The correct answer is the third one.

Explanation:

Compare the amplitude of these waves.

help?

Answers

Answer:

The greater the amplitude of a wave then the more energy it is carrying.

Explanation:

E is carrying the most energy which means that it has the highest amplitude

A has the least energy because it has the lowest amplitude

What is the mass, in kilograms, of a large dog that weighs 441 newtons?​

Answers

Answer:

441 Newtons equals 44.97 kilograms.

what is potentiometer​

Answers

Answer:

potentiometer is a device used to measure potential difference across the circuit

1. Shelly pushes a .0035 kg marble with
a force of .07.N.

Answers

Answer:

pressure= force/area

Explanation:

pressure= 0.07/0.0035

             = 20 pascal

whats 1+0 n3rje'hefruhhhhhhhhhhhhhhhhhhhhhhhhtrrrrrrrrrrrrr

Answers

Answer:

1

Explanation:

cause 1+0=1

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:

The difference in particle size of the soil constituents determine its texture.​

Answers

Answer:Soil texture depends on the size of individual soil particles and is determined by the relative proportions of particle sizes that make up the soil. The texture affects the amount of water that can be absorbed for use by plants and animals.

Explanation:

An "energy bar" contains 26 ggof carbohydrates.How much energy is this in joules?

Answers

I’m it’s about 3.4878 energy in joules

A marble is launched at by dropping it through a marble launcher. The marble took 0.22s to land 0.31m from
where it was launched. Find the horizontal velocity of the marble as it rolls off the table.

A. 1.4m/s
B. 0.53m/s
C. 0.71 m/s
D. 0.07m/s

Answers

Hi there!

For projectile motion, the horizontal and vertical components are SEPARATE.

We can use the kinematic equation to solve:

dₓ = vₓt

We can rearrange to solve for vₓ:

dₓ/t = vₓ

0.31/0.22 = vₓ

vₓ = 1.4 m/s ⇒ A

4. Analyze: Drag this tile to the green strip. Turn on Show results.
A. What units are given to the right of the equals sign? _ 11,000
B. Why didn't the units cancel in this case? The tile is not fupped
C. What do you think you could do to make them cancel?

Answers

The answer is going to be A

the definition of convetion

Answers

the defintion of convetion is ( the movement cuased within a fluid by the tendency of hotter and therefore less dense msterial to rise, and colder, denser material to sink under the influence of gravity

In a hydraulic press a force of 200N is applied to a master piston of area 25Cm2.if the press produces 500N determine the area of the piston.​

Answers

Answer:

625                                      GIVE ME BRAINLIEST ANSWER PLEASE

Explanation:

This question is based on pascal's Law.

So By Pascal's Law

=

therefore  =force on input piston =200N

                 = Force on output piston = 5000N

therefore after putting the values we get,

a)  = (25x 5000)/200

    = 625

b) area of the salve piston =  = 625

so  = 625/3.14 = 199

so     r =    = 14.10 cm

true or false

as mass increases the gravitational force decreases​

Answers

The answer to this question is true I believe
The force of gravity depends directly upon the masses of the two objects, and inversely on the square of the distance between them. This means that the force of gravity increases with mass, but decreases with increasing distance between objects.

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

what is the meaning of physics​

Answers

Answer:

the branch of science concerned with the nature and properties of matter and energy. The subject matter of physics, distinguished from that of chemistry and biology, includes mechanics, heat, light and other radiation, sound, electricity, magnetism, and the structure of atoms.

Explanation:

State one advantage and disadvantage of friction

Answers

Answer:

Advantage: Helps us to walk without slipping.Helps machines work

Disadvantage:

We slip on a wet floor.Causes the smoothness of tires and smoothness of shoes soul.


During a test, a solution placed on a sheet
of metal creates bubbles. This solution is
most likely
A. Acidic
B. Neutral
C. Basic

Answers

Answer:

B. Acidic

Explanation:

Neutral an Basic solutions wouldn't create any reaction

If during a test, a solution placed on a sheet of metal creates bubbles, we can conclude that this solution is most likely Acidic.

Reaction of metals with acid

Acid reacts vigorously with metal, displacing hydrogen gas in the process and this process creates bubbles of gases trying to escape from the solution.

Metals do not react basic and neutral solutions.

If during a test, a solution placed on a sheet of metal creates bubbles, we can conclude that this solution is most likely Acidic.

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How much physical activity should an adult have each week?
A.
60 minutes per day, 7 days a week
B.
30 minutes per day, 7 days a week
C.
60 minutes per day, 5 days a week
D.
30 minutes per day, 5 days a week


Please select the best answer from the choices provided.

A
B
C
D

Answers

I believe your answer is C. my friend!

The physical activity should an adult have each week is "60 minutes per day, 5 days a week". The correct answer is option C.

What is WHO?

WHO stands for the World Health Organization. It is a specialized agency of the United Nations responsible for international public health. The WHO is headquartered in Geneva, Switzerland, and works in partnership with national governments and other organizations to promote health, keep the world safe, and serve the vulnerable. The organization's primary objective is to ensure that people can enjoy the highest possible level of health, regardless of their race, religion, or socioeconomic status. The WHO's work includes providing leadership on matters critical to health, setting norms and standards, promoting health research and evidence-based practice, and providing technical support to countries.

Here in the Question,

Option A, "60 minutes per day, 7 days a week," and option B, "30 minutes per day, 7 days a week," both suggest that physical activity should be performed every day of the week. While daily physical activity is beneficial for overall health and well-being, the WHO recommendation allows for two days of rest or lighter physical activity per week, which can help prevent injury and allow for recovery.

Option D, "30 minutes per day, 5 days a week," suggests a lower amount of physical activity than the WHO recommendation. While 30 minutes of moderate-intensity aerobic physical activity per day can provide some health benefits, it may not be enough to achieve significant improvements in cardiovascular health, muscular strength, and flexibility.

Therefore, Option C, "60 minutes per day, 5 days a week," is the correct answer as it aligns with the WHO recommendation for adults to engage in at least 150 minutes of moderate-intensity aerobic physical activity per week.

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Suppose you were able to take measurements of current through the
resistor and voltage across the resistor. Your record of numerical values is written in a

tabular data below​

Answers

Answer:

  see attached

Explanation:

It will be easier to plot the data if you have grid lines to work with.

In the attached, we had to reverse the order of entries in the table, because the graphing program likes the independent variable listed first.

How to find frequency.

Answers

Answer:

Divide the number of times an event occurs by the duration of time to calculate frequency. For instance, Anna divides the number of webpage clicks (236) by the time spent on the site (one hour, or 60 minutes). She discovers that she gets 3.9 clicks every minute.

Explanation:

does this help?

how do humans affect the lithosphere

Answers

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

What are 4 ways you can determine if a website is reliable?

Answers

Answer:

Identify the name of the individual, group or institution that created the website. A reliable website should clearly state the name of its creator. Generally, websites created by government institutions (.gov) and educational institutions (.edu) are considered more reliable.

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