Question

name miah sanchez
date
class
math meet science, science meet math
newtons second law of motion (f = m·a)
part 1: state newtons law of motion
newtons second law of motion, also known as the \law of force and motion\ and the \law of acceleration\ states that:

part 2: define key vocabulary

word	definition	standard unit of measurement
mass
acceleration

part 3: understand the relationship between force, mass, and acceleration
newtons second law of motion is best described the following mathematical equation:
force = mass · acceleration
this equation works well when you are given the variables of mass and acceleration and asked to solve for force. however, it is possible to be given the force and either mass or acceleration and asked to solve for the missing variable. how can you rearrange to the equation from above to easily solve for either mass or acceleration?
mass =
hint: using the equation above, put in pretend values for force and acceleration and solve for mass. what operation did you need use between force and acceleration to solve for mass?
acceleration =
hint: using the equation above, put in pretend values for force and mass and solve for mass. what operation did you need use between force and mass to solve for acceleration?

Explanation:

Step1: State Newton's Second Law

The acceleration of an object as produced by a net - force is directly proportional to the magnitude of the net force, in the same direction as the net force, and inversely proportional to the mass of the object. Mathematically, $F = m\times a$.

Step2: Define Force

Force is a push or pull upon an object resulting from the object's interaction with another object. The standard unit of measurement is the Newton (N).

Step3: Define Mass

Mass is a measure of the amount of matter in an object. The standard unit of measurement is the kilogram (kg).

Step4: Define Acceleration

Acceleration is the rate of change of velocity of an object with respect to time. The standard unit of measurement is meters per second squared ($m/s^{2}$).

Step5: Rearrange for Mass

Starting with $F = m\times a$, to solve for $m$, divide both sides by $a$. So, $m=\frac{F}{a}$.

Step6: Rearrange for Acceleration

Starting with $F = m\times a$, to solve for $a$, divide both sides by $m$. So, $a=\frac{F}{m}$.

Answer:

Newton's Second Law of Motion: The acceleration of an object as produced by a net - force is directly proportional to the magnitude of the net force, in the same direction as the net force, and inversely proportional to the mass of the object ($F = m\times a$).
Force: A push or pull upon an object resulting from the object's interaction with another object. Unit: Newton (N)
Mass: A measure of the amount of matter in an object. Unit: kilogram (kg)
Acceleration: The rate of change of velocity of an object with respect to time. Unit: meters per second squared ($m/s^{2}$)
Mass formula: $m = \frac{F}{a}$
Acceleration formula: $a=\frac{F}{m}$