A3-ohm resistor and a 6-ohm resistor are
connected in parallel across a 9-volt battery.
which statement best compares the potential
difference across each resistor?
(1) the potential difference across the 6-ohm
resistor is the same as the potential
difference across the 3-ohm resistor.
(2) the potential difference across the 6-ohm
resistor is twice as great as the potential
difference across the 3-ohm resistor.
(3) the potential difference across the 6-ohm
resistor is half as great as the potential
difference across the 3-ohm resistor.
(4) the potential difference across the 6-ohm
resistor is four times as great as the potential
difference across the 3-ohm resistor.

The potential difference across both the resistors is the same.

Explanation :

Given that, two resistors 3 -ohm and 6 ohms are connected in parallel across a 9-volt battery. The equivalent resistance, in this case, is given by :

In parallel combination, the current across each resistor divides and the potential difference remains the same.

So, the correct statement is (1) "The potential difference across the 6-ohm resistor is the same as the potential difference across the 3-ohm resistor."

f is prop to m1xm2 double m1 double force

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.