Physics, 06.10.2019 19:30 Abbymay17

What does it mean to say the momentum is conserved?

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It means if you take the initial system and calculate all of the momenta vectors (mass x velocity) along each space component, then at a later time (after a collision, say) that all of the momenta along all of those axes will still be the same. That's also true for rotational (angular) momentum, though it's sometimes harder to grasp that one because depending on your choice of origin for a system, there doesn't actually need to be anything rotating to have angular momentum. But they are both conserved, and importantly, they are conserved independently.

Answer from: Quest

i don't understand is there any other way you can rephrase it plz let me know in the comments and i will do it.

explanation:

Answer from: Quest

force is based upon mass and acceleration.the statement is not always true.

it can be explained from newton's second law of motion.

as per newton's second law of motion the rate of change of momentum is directly proportional to the applied force and takes place along the direction of force.

mathematically it can be written as -

$f\alpha \frac{dp}{dt}$

⇒ $f= k \frac{dp}{dt}$

here k is the proportionality constant whose value is 1.

$f=\frac{dp}{dt}$

$f= \frac{d[mv]}{dt}$

$f= m\frac{dv}{dt} +v\frac{dm}{dt}$

$f=ma+v\frac{dm}{dt}$ [a is the acceleration=dv/dt]

hence we see that force not only depends on mass and acceleration but also on velocity and rate of change of mass. force f will depend on mass and acceleration only when mass is constant.

hence the statement that force is based upon mass and acceleration is false.

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