(Force on an object) = (the object's mass) times (its acceleration)
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Isaac newton, in his third law, stated that "The acceleration produced by a net force on an object is directly proportional to the magnitude of the net force, is in the same direction as the net force, and is inversely proportional to the mass of the object."
So in equation form, A=F/M, or "acceleration equals the net force over the mass." This is a derivation of F=MA, or "net force equals mass times acceleration."
Mass is inversely proportional to the acceleration. This means that the greater the mass, the more force you will have to apply to get a greater acceleration. If you add an elephant to a shopping cart, thus increasing the mass, you will have to put more force on the cart to get a higher acceleration.
Acceleration is directly proportional to the force. The more force acted on an object, the faster the acceleration. The harder you push a shopping cart, the faster it goes.
F=ma, or force equals the product of mass and acceleration. Assuming that the mass of the object does not change, then acceleration increases as force increases.
The acceleration of an object is proportional to the net force acting on it. So if the force is reduced by half, the acceleration will also be halved. Of course, it will still be accelerating in the same direction as before, but not as quickly.
Acceleration is 0.25m/s2 (A = force/mass).
Newton's Second Law says force = mass * acceleration. If you push on two objects with the same force, the object with the smaller mass will have a greater acceleration.
If the applied force is constant, the acceleration will also be constant. To know the actual amount of acceleration, you divide the force by the mass.