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(Force on an object) = (the object's mass) times (its acceleration)

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Elinor McDermott

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1y ago
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14y ago

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.

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14y ago

F = ma

where F = force, m = mass and a = acceleration

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13y ago

(Force on an object) = (the object's mass) times (its acceleration)

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Q: How are Force Acceleration and Mass related?
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Continue Learning about General Science

What increases as force increases?

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.


What happens to the acceleration of an objects when the mass is cut in half?

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.


What is the acceleration of a 24 kg mass pushed by a 6N force?

Acceleration is 0.25m/s2 (A = force/mass).


Why does the object with less mass have a larger acceleration?

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.


When force is proportional to mass and acceleration why do you say force is proportional to mass multiplied by acceleration why not mass plus acceleration and so on?

By definition, if two things are proportional to one and other, they are connected by a multiplying constant. If F = m + a you would simple say F is a bigger than m and it would also require that force, mass and acceleration all shared the same dimensions and units. Clearly mass is a scalar and force and acceleration are vectors, so that is not the case. Also, if they shared the same dimensions, they would effectively be the same thing so F = m + a would be the same as F(total) = F(1) + F(2) which wouldn't tell us very much about the laws of physics at all. Also, you don't say force is proportional to mass times acceleration (it's EQUAL to mass times acceleration). It's either force is proportional to mass (in which case acceleration is the factor of proportionality) or force is proportional to acceleration (in which case it is mass).

Related questions

How are force and mass related to acceleration?

ma=F (mass)(acceleration)=Force


How is acceleration and net force related when mass is constant?

Force = Mass x Acceleration


How are constant force is related to mass and acceleration?

Force = (mass) times (acceleration) Constant force produces constant acceleration.


How is mass and force related?

Force = Mass x Acceleration


How the acceleration of a body related to its mass and the resultant force acting on it?

How the acceleration of a body related to its mass and the resultant force acting on it?


How are force mass and acceleration are related by newtons second law of motion?

Force=mass*acceleration


Explain how force acceleration and mass are related?

These three variables are related by Newton's Second law: Force = mass x acceleration.


How is acceleration related to force and mass?

According to Newton's second law Force is equivalent to mass times acceleration.


How force related to the acceleration?

force = mass x acceleration F = M x A


How does the acceleration related to force?

force = mass x acceleration F = M x A


How is force related acceleration?

Force is the produce of acceleration and mass. This is expressed in the equation F=ma


How are mass and acceleration related?

Newton's Second Law: force = mass x acceleration