Hello everyone,
I was curious about how do we define a physical quantity and mathematical relation between them.
For example:
Work done is defined as product of force along the displacement and displacement i.e W=Fcos(theta)d.
Now this definition is given in books straightforward but my...
As we know Energy is a scalar quantity.
So when we add kinetic and potential energy to get Total energy.
So addicting these two energy (kinetic and potential) comes under Scalar addition ?
I just wanted to confirm it.
I am very confused when textbooks say the direction of Angular velocity is perpendicular ot radius and theta for that matter direction is in perpendicular direction.
I know this comes from cross product rule but what is the meaning of Angular velocity and Angular momentum directing in upward...
No i know i will add 20$, 10 times that's the basic definition of multiplication
Wel i guess i understood that multiplying with a number is repeated addition cause they are of same type.
But when it comes to two different type of quantity we cannot say that one quantity is added to other...
I just don't want to accept the that this is definition that's how it is.
I want to know the real meaning or experiment why it was define that way and not the other.
So just saying this is the definition and accepting it what school does.
Sorry i mean no disrespect to any member of community.
If...
I guess no question is dumb enough to ask ?
Say you need to explain it to 10 years old child and he only nows that multiplication is adding a number repeated time.
So how could you explain him that p=mv and p is not m+v.
Or more simply i can put the question like
What does multiplication mean? If we can't add two different types of quantities, then how can we multiply two different types of quantities, like p=mv ?
Ok so as we know multiplication is repeated addition..
How would explain momentum according to multiplication definition ?
Does this mean we are scaling velocity by multiplying mass.
So as we know momentum has a formula p=mv right ?
But why we can't write it as p=m+v ?
The real question is why we multiply both mass and velocity quantity
And not add them ?
No,but Is my second example valid if i say it according to definition of division that is
Theta means how many part of radiuses are there in the arc length ?