10. The Force between two objects is 2 Newtons. One object has a mass of 6.2kg. If the distance between the center of one object to the center of the other
object is 45 meters, what is the mass of the second object? *

Explanation:

Given that.

The force between two objects, F = 2 N

Mass of object 1, m₁ = 6.2 kg

Distance between the center of one object to the center of the other  object, r = 45 m

We need to find the mass of the second object. Using the formula of gravitational force as follows :

So, the mass of the second object is

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.