Physics, 04.02.2020 21:45 khaylaperry

The statement “force equals mass times acceleration” is newton’s second law of motion. why is this a law rather than a theory?

(a) it states, rather than explains, the relationship between the variables.
(b) it cannot be proven, whereas a theory can be proven.
(c) it may be revised if new information shows that the relationship has changed.
(d) it was classified as a law because it is related to other similar discoveries.

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Answer from: Chen19241

I think the correct answer from the list of choices is option A. The statement “force equals mass times acceleration” is Newton’s second law of motion. It is a law rather than a theory because it states, rather than explains, the relationship between the variables.

Answer from: heartprague

Answer;

(a) It states, rather than explains, the relationship between the variables.

Explanation;Newton's second law states that, the change of momentum of an object is directly proportionate to the applied or resultant force. This means that the momentum’s change will take place in direction of applied force.This is a scientific law, which states the relationship between, force, mass and acceleration; that is F= ma. The law clarifies why force is proportional to acceleration and also describes the observation that would be made if an object or a body is pushed at a constant force.Additionally, the law was formulated from observations and experimentation and not from assumptions and guesses, that is why it is a law and not a hypothesis or a claim.

Answer from: Quest

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

$x(t)=ax(x-6)$

where $a$ is unknown. because the position is parabolic, there is symmetry about the midpoint at $t=3$ , and we know that

$x(3)=10\implies -9a=10\implies a=-\dfrac{10}9$

so that the position function is

$x(t)=-\dfrac{10}9x(x-6)$

which means the velocity is

$v(t)=\dfrac{\mathrm dx}{\mathrm dt}=-\dfrac{20}9x+\dfrac{60}9$

then the total distance traveled is

$\displaystyle\int_{t=0}^{t=6}|v(t)|\,\mathrm dt=\left\{\int_{t-0}^{t=3}-\int_{t=3}^{t=6}\right\}v(t)\,\mathrm dt=20$

so the total distance traveled is 20 m.

on the other hand, if you want to find displacement: the particle starts at $x=0$ and ends at $x=0$ , so its displacement is 0.

Answer from: Quest

I’m not sure about this question

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The statement “force equals mass times acceleration” is newton’s second law of motion. why is this a...