F=ma is a special Algebraic Expression - not quite a Mathematical Formula.
It reads: Force is equal to Mass times Acceleration.
Units: mass is in grams; acceleration is in meters per second squared. This means that Force - is grams times m/sec2 - or Newtons.
F=ma refers to Fnet, or the sum of all the forces of a system. m is the mass of the object acted on, and a is the acceleration of the object. For example, if a 10kg object is accelerating at 5 m/s squared, then Fnet=(10)(50)
=500N
Likewise, if trying to find the mass or acceleration, you can manipulate the formula to acquire such information.
We study in our high schools about Newton second law which states that F=ma i.e. force equals to the product of mass and acceleration. But this mathematical definition is not enough to explain the reasons why F=ma. Why Force is not equal to product of mass and acceleration square (F=ma2) or why not F=m3 a. These are some really serious questions that student should ask and try to find the answers of these questions.
Here I will be explaining the reason why F=ma and I will also explain how newton thought and after performing experiments came up with the formula F=ma.
Consider a mass M placed in ideal system i.e. frictionless .
If a force F is applied at certain instant of time only say t=0 .And for all other values of "t" F=0. Then the body will start moving with the constant velocity. Example of such an event is shot made by snooker player. If the table is frictionless then the ball will continue to move with constant velocity.
But what will happen if we apply same constant force on a body of mass M continuously? the answer is that , the mass M will start to accelerate i.e. its velocity will start to increase.(Do not confuse this continuous force with an event when a labor is continuously applying force on a cart but cart still moves with constant velocity, here the labor continuous force is used to overcome the frictional force only).
Example is rocket propulsion
So we get a relationship which says that Force is directly proportional to acceleration "F α a" . If we plot both force and acceleration we get a straight line. If mass of body varies then the slope of our plot which is straight line will also varies. So in order to maintain the equality we introduce a constant of proportionality "m" to satisfy the equality F=ma.
F equals MA stands for Newton's second law of motion, which states that the force (F) acting on an object is equal to the mass (M) of the object multiplied by its acceleration (A). This equation quantifies how the net force applied to an object affects its motion.
Newton's 2nd law is F = ma, Force equals mass times accelerationso a = F/m, acceleration is equal to force divided by mass
The first and second law are f=ma. The first law is where f or a is zero . The second law says f-ma where f or a is not zero.
F=ma or m=F/a
Newton's second law of motion states that the force acting on an object is equal to the mass of the object multiplied by its acceleration. This is represented by the formula F = m x a, where F is the force, m is the mass, and a is the acceleration.
F = MA M = F / A A = F / M
Yes!
It is linear function in f and a or in f and m, but not in m and a.
The algebraic equation is: f = ma
f = ma
f=force, m=mass, a=acceleration
F=ma where force(F) equals mass(m) times acceleration(a)
F=MA Force equals mass times acceleration
F equals MA stands for Newton's second law of motion, which states that the force (F) acting on an object is equal to the mass (M) of the object multiplied by its acceleration (A). This equation quantifies how the net force applied to an object affects its motion.
F = M A is an equation, and you can hardly find another onethat says the same thing better.
Force equals mass multiplied by acceleration. F=MA
Force equals mass times acceleration, F= ma.