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
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
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
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.
Answer:
It reveals that light is a wave
Explanation:
Diffraction is the property of a wave in which there is a bending of the wave about the corners of an obstacle or aperture into the geometrical shadow of the obstacle or aperture.
This simply implies that a wave bends or spreads out when it passes through openings. Since the light diffracts through small slits and diffraction has been shown to occur in water waves and sound waves, this property of diffraction can only be characteristic of a wave and thus, this evidence reveals that light is a wave.
Answer:
b. craters, river valleys feeding into surface lakes of very cold liquids
Explanation:
- Jovian moons are the four largest satellites like the moon of the Jupiter ie the Lo, Europa, Ganymede, Callisto and were first seen by the galileo. They are amiugly the largest moons with radii larger than the dwarf planet.
- Lo has more than 400 active volcanoes and dotted more than 100 mountains and has an extremely thin atmosphere made up of sulfur dioxide. The Europa has deep oceans of liquid water, and the layer of ice, and are characteristic of the tidal heating.
- <u>While the surface of Callisto is heavily cratered and has salty liquid water.</u>
The food chain would be disturbed and the ecosystem would not be the same, without the consumers nothing would happen and it would lead to the downfall of the chain.
Tennis ball will move with 1/3 th velocity of plastic ball