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.
Niel depicted that the atom was a small, positively-charged nucleus surrounded by negatively-charged electrons that travel in circular orbits around the nucleus
I believe it is the mass of an object. The question is oddly asked
Answer:
The value of b 0.7351 kg/m
Explanation:
Given that;
Mass of sky diver = 82 kg
Velocity = 33.4 m/s
f = −bv²
It is a resistance force, therefore the negative sign is ignored.
since; f = mg
∴ mg = bv²
b = mg / v
² ........ (1)
At terminal velocity a = 0
Put parameters in (1)
b = (82 × 10) / (33.4)²
b = 820 / 1,115.56
b = 0.7351
Answer:
1. It won't break
2. 0.5 squared meters
Explanation:
1. Pressure (P) is force (F) exerted over an area(A). Greater the force or smaller the area, the pressure will be greater. This is presented by an equation:
P = F / A
This metallic object can be placed on the table in 3 different positions, depending on which its side is pressed against the table. Since its dimensions are 3 • 6 • 8 m, surface areas of these sides are:
A1 = 3 • 6 = 18m^2
A2 = 3 • 8 = 24m^2
A3 = 6 • 8 = 48m^2
It is already stated that the smaller are, greater the pressure, so this object will exert the greatest pressure if it's placed on the table with its 18m^2 side. In this case, pressure will be:
P = 400N / 18m^2
P = 22.2 N/m^2 (N/m^2 is the same unit as Pascal)
So, the table can withstand 250 Pa of pressure, the object exerts only 22.2 Pa, which means that the glass table won't break.
2. Again, we need to know the equation that connects the force and the pressure, and that is:
P = F / A
In this case, we have both the force and the pressure, and we want to find the surface of the area. From the previous equation, area can be found as:
A = F / P
A = 20N / 40Pa (N/m^2)
A = 0.5 m^2
So, the answer is: this pressure is exerted on the area of half of squared metar.
