Ahydroelectric plant takes energy from water and turns it into electrical energy. what are the transformations of energy in the water molecules that are used in the process of generating electricity this way?

First, the potential energy of the water molecule gets converted into the kinetic energy. Then the kinetic energy of the water molecules gets converted into the electrical energy.

Explanation: The water is stored into the dam having certain height. There is a potential energy due to height.

Then the water is made to fall on turbine from the dam. The water molecules has kinetic energy due to the motion of the water molecules. In this way the potential energy is converted into the kinetic energy.

The kinetic energy of the moving water turns the turbine which is used for generating the electricity this way.

Therefore, the potential energy of the water molecules gets converted into the kinetic energy. Then the kinetic energy of the water molecules gets converted into the electrical energy.

the closer the planet is to the sun, the larger the gravity

russian is not my first language, so i'm afraid i can't write out an answer in russian, but hopefully you can find a way to do so. here's my best translation of the problem: you're given a plot of a particle's position in one-dimensional space over time, and you're asked to find either the total distance traveled by the particle after 6 seconds had elapsed, or the total displacement of the particle after 6 seconds.

if you want the total distance traveled, you would first need to determine the particle's velocity as a function of time, then integrate that over the 6-second interval. we know the position function is quadratic with roots at 0 and 6, so we have

where is unknown. because the position is parabolic, there is symmetry about the midpoint at , and we know that

so that the position function is

which means the velocity is

then the total distance traveled is

so the total distance traveled is 20 m.

on the other hand, if you want to find displacement: the particle starts at and ends at , so its displacement is 0.