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coolkiddKC
27.02.2021 •
Physics
SOMEONE HELP ME PLEASE
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Ответ:
I think it would be the 3rd or 4th one.
Ответ:
volume : {l}^3
speed: (l)^1*(t)^-1
Explanation:
Volume is a measure of 3 dimensional space. It is expressed with 3 orthogonal lengths. The volume of a box would be the product of it's height, width and length. These 3 are longitudes that can be expressed in meters, feet, inches, etc. Because these are 3 longitudes multiplied the result will be a cubic longitude (l)^3.
A more general method for finding a volume is to use integral calculus:
This is for Cartesian coordinates. Cylindrical and spherical coordinates can also be used.
Speed is defined as the rate of change in position respect of time:
For movement in one dimension.
For movement in 3 dimensions you calculate the speed component of each space direction and express them as components of a speed vector:
This is a vector of velocity components, each one is expressed as a division of a longitude over a time, so speed components have dimensions of (l)^1*(t)^-1
The speed vector has a magnitude that is obtained with the Pitagoras theorem:
Since each component is squared, added together and then the square root is taken this magnitude is also in (l)^1*(t)^-1