1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
KatRina [158]
3 years ago
9

Define the difference between the Newtonian mechanics and a Lagrangian mechanics

Physics
1 answer:
Snowcat [4.5K]3 years ago
3 0

Answer:

The difference between Newtonian and Lagrangian mechanics is summarized below:

In Newtonian mechanics the fundamental thing of conceren is force that acts on a object. According to newton's laws of motion when a force acts on a body it produces acceleration and the acceleration is then related to velocity and position of the object. The basic equation of Newtonian mechanics are

\sum (\overrightarrow{F})=mass\times \overrightarrow{a}

where

'F' is the vector sum of all the forces that act on the object.

'a' is the acceleration that is produced in the body as a result of the forces.

The acceleration is related to the position of the body as

\frac{d\overrightarrow{r(t)}}{dt}=\overrightarrow{a}\\\\\overrightarrow{r}(t)=\int \overrightarrow{a}(t)dt

Thus we can know the position of any object if we know the acceleration of the object and the boundary condition of the object.

However in Lagrangian mechanics the basic parameter upon which the motion of the object is defined is the  a mathematical definition of position and change in position, thus an object can take an arbitrary path while travelling between 2 positions but only that path is physically possible in which the change in potential energy is minimum or takes least amount of work to be done this is known as principle of least work.

Mathematically

S=\int L(t)dt

and we try to minimize the work that needs to be done thus giving us the path taken by the particle.

The equations of motions can be derived from this basic premise of Lagrangian mechanics.

You might be interested in
A 2.0-kg block slides on a rough horizontal surface. A force (magnitude P = 4.0 N) acting parallel to the surface is applied to
irinina [24]

When the applied force increases to 5 N, the magnitude of the block's acceleration is 1.7 m/s².

<h3>Frictional force between the block and the horizontal surface</h3>

The frictional force between the block and the horizontal surface is determined by applying Newton's law;

∑F = ma

F - Ff = ma

Ff = F - ma

Ff = 4 - 2(1.2)

Ff = 4 - 2.4

Ff = 1.6 N

When the applied force increases to 5 N, the magnitude of the block's acceleration is calculated as follows;

F - Ff = ma

5 - 1.6 = 2a

3.4 = 2a

a = 3.4/2

a = 1.7 m/s²

Thus, when the applied force increases to 5 N, the magnitude of the block's acceleration is 1.7 m/s².

Learn more about frictional force here: brainly.com/question/4618599

8 0
2 years ago
a 46 kilogram student climbs 11 meter up a rope at a constant speed if the student power output is 230 watts how long in seconds
Bezzdna [24]
230×46=10580÷11=961 second
3 0
3 years ago
Write a collision scenario here. If you choose your own collision, you can have neither, one, or both of the objects break. Be s
OleMash [197]

Answer:

My scenario would be A Car vs. a guard rail on a road.  You have a car that is coming down a Highway at a speed of 43 Mph Miles per hour (69.2018 Kmh)

And it hits a steel guardrail and the car smashes in at the front and the guardrail is only bent while the car has the bumper and the hood along with the headlights and windshield along with the passenger side window break.

Explanation:

This is caused by so much force reacting from one object to another but also depends on molecular density.

5 0
2 years ago
A projectile is launched vertically at 100 m/s. If air resistance can be ignored, at what speed will it return to its initial le
eduard
<h2>Speed with which it return to its initial level is 100 m/s</h2>

Explanation:

We have equation of motion v² = u² + 2as

Initial velocity, u = 100 m/s  

Acceleration, a = -9.81 m/s²  

Final velocity, v = ?

Displacement, s = 0 m  

Substituting  

v² = u² + 2as

v² = 100² + 2 x -9.81 x 0

v² = 100²

v = ±100 m/s

+100 m/s is initial velocity and -100 m/s is final velocity.

Speed with which it return to its initial level is 100 m/s

7 0
2 years ago
Read 2 more answers
Which statement shows how to correctly convert from the mass of a compound in grams to the amount of that compound in moles?
expeople1 [14]

Answer:

mass (grams) x 1 =

molar mass (g/mol)

amount (moles)

Explanation:

6 0
3 years ago
Other questions:
  • What is the difference between a universal law and a scientific theory?
    10·1 answer
  • An electron has a kinetic energy of 3.00 ev. find its wavelength. (b) what if? a photon has energy 3.00 ev. find its wavelength.
    11·1 answer
  • A ball rolls off the edge of a table with a fairly large horizontal velocity. Which of the following statements are true? (Selec
    5·1 answer
  • Write a 150 word paragraph or two that describes at least three everyday things that exist or occur because of science. Make sur
    5·2 answers
  • (HELP ASAP) A student’s cell phone battery is almost dead, and she plugs it into an electrical outlet to charge. As it charges,
    5·1 answer
  • What is the formula for average velocity?
    12·1 answer
  • What is the difference between melting point and boiling point?
    6·1 answer
  • Hey! please help i’ll give brainliest!
    12·1 answer
  • Holaaaaa........................
    14·1 answer
  • an object has a mass of 50kg, a final height of 20m and an initial height of 8m. what is the amount of work done
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!