Сформулируйте вопросы на английском языке и дайте ответы на них. Какое движение называется ограниченным? Неограниченным? От чего зависит работа по перемещению частицы в поле консервативных сил?
What movement called limited and unlimited? What determines the work of moving particle in the field of conservative forces?
A conservative forceis a force with the property that the workdone in moving a particle between two points is independent of the path taken. Equivalently, if a particle travels in a closed loop, the net work done (the sum of the force acting along the path multiplied by the distance travelled) by a conservative force is zero.[2] A direct consequence of the closed path test is that the work done by a conservative force on a particle moving between any two points does not depend on the path taken by the particle. Also the work done by a conservative force is equal to the negative of change in potential energy during that process. There is zero net work (W) done by the force when moving a particle through a trajectory that starts and ends in the same place:
Сформулируйте вопросы на английском языке и дайте ответы на них. Какова продолжительность одного полного оборота Земли вокруг Солнца? Как получить уравнение траектории из уравнения движения?
What is the duration of one complete revolution of the Earth around the Sun? How to get the equation of the trajectory from the equations of motion?
The earth's revolution around the earth is also called an orbit. The earth which is about one hundred fifty kilometers away from the sun rotates around it. It takes the earth about 365.25 days to make a whole revolution around the sun. More accurately, this translates into 365 days 5 hours 59 minutes 16 seconds
For each meaning of time t in equation of motion we can determine the coordinates of the point (moving body) at this point and specify its position in space. Giving all possible values of t, we obtain a variety of positions of the moving point in space - its trajectory.
Сформулируйте вопросы на английском языке и дайте ответы на них. Что такое приращение величины? Что такое бесконечно малое приращение функции? Что такое убыль величины?
What is the magnitude of the increment?
The definition for magnitude as it applies to Physics is simple. Magnitude is the value of an object, such as the magnitude of velocity would be speed.
What is an infinitesimal increment function?
The
change in velocity is related to the same infinitesimal increment of
time dt, but to different powers of forces,i.e. dc=pdt dc=
dt
and dc=
.The
mathematical relation between the infinitesimal increment of velocity
dc and the infinitesimal increment of the time variable Δt.
Сформулируйте вопросы на английском языке и дайте ответы на них. Что такое центр масс системы частиц? Какие величины являются обратно пропорциональными? Прямо пропорциональными?
What is the center of mass of the system of the particles? What values are inversely proportional? Directly proportional?
In physics, the center of mass of a distribution of mass in space is the unique point where the weighted relative position of the distributed mass sums to zero. The distribution of mass is balanced around the center of mass and the average of the weighted position coordinates of the distributed mass defines its coordinates. Calculations in mechanics are often simplified when formulated with respect to the center of mass.
A system of particles
In the case of a system of particles Pi, i = 1,2…,n, each with mass mi that are located in space with coordinates ri, i = 1,2…,n, the coordinates R of the center of mass satisfy the condition
Solve this equation for R to obtain the formula
where M is the sum of the masses of all of the particles.
In mathematics, two variables are proportional if a change in one is always accompanied by a change in the other, and if the changes are always related by use of a constant. The constant is called the coefficient of proportionality or proportionality constant.
If one variable is always the product of the other and a constant, the two are said to be directly proportional. x and y are directly proportional if the ratio
is constant.If the product of the two variables is always equal to a constant, the two are said to be inversely proportional. x and y are inversely proportional if the product
is
constant.