How does the mass vary with acceleration of constant force?

Answer 1

In theory, if you keep the force constant and vary the acceleration, the mass will vary inversely to the acceleration. In other words, if the acceleration increases, the mass will decrease; if the acceleration decreases the mass will increase. This is according to Newton's 2nd Law illustrated by the equation a=F/m. This is really a mental exercise, because this particular experiment could not actually be performed in a typical physics laboratory.

Answer 2

It is directly proportional ie, if the force is doubled then the acceleration doubles. The constant that affects the amount of acceleration that a particular force produces is the mass of the object. Therefore if a force is applied to a large mass the acelleration is less than if a large force was applied to a small mass. However, it does not matter how big the initial acceleration is, if the force doubles then the acceleration (large or small) also doubles. If it triples, then the acelleratiion triples in proportion. This can be expressed in a simple equation (F=Force applied in Newtons, m= mass in kilograms, a = acceleration in metres/second/second) F = m x a

Answer 3

F=ma

If the mass of an object is changed, assuming that the force applied remains the same, then accceleration will change reflecting that.

Rearranging the formula gives "F/m=a" so th acceleration of the object equals the force applied divided by the mass, if the mass is decreased, the acceleration will increase and if the mass is increased then the acceleration will decrease.

Answer 4

According to newtons laws of motion (F = ma) if you change the force acting upon an object it will be proportional to the mass X acceleration. For Example:

When F = 10NM M=5 Kg A= 2m^2

If you change the Force (F) to 20NM and the mass stays constant at 5 Kg you need to balance the equation so the acceleration will be the only thing to change. In this example the acceleration would need to be: 4m s^2

Answer 5

To answer your question, imagine a Bowling ball and a Golf ball.

Let's say we apply a force of X newtons* to each ball at the same time. This means that the force acting on both balls is constant, however the mass of each ball is different.

The bowling ball will accelerate at a constant speed, assuming there is a constant force of X newtons acting on the ball at all times. The golf ball, with the same force applied (X newtons) will accelerate faster, due to its smaller mass. We know this is the case through common sense. What about through an equation?

The equation F=ma (Where F is force, m is mass and a is acceleration) can be re-adjusted to a=F/m. This means that as the mass increases, with a constant force applied, the acceleration will decrease. Think about 1 divided by 100 as opposed to 1/1000. Where 100 and 1000 are different masses. the first one heralds a bigger result, because it was smaller.

Therefore, as mass increases, acceleration decreases, provided the force applied remains constant. So mass and acceleration have a negative correlation (as one increases, the other decreases).

*1 newton is the force that would give a mass of 1Kg a acceleration of 1 meter per second per second.

Answer 6

Well, they're directly proportional. But I'm not comfortable with the notion that
"force varies with acceleration", because it's the force that causes the acceleration.
So I'd much rather see you write that "acceleration varies with force".

In any case, Newton's second law of motion states succinctly that " F = M A ",
and you can directly read from that simple formula that when mass is constant,
acceleration varies directly as the net applied force..

Answer 7

F = ma = constant

acceleration = F/m

a is inversely proportional to m; if you double mass you have 1/2 acceleration, etc.

Answer 8

It varies directly - assuming that friction is ignored..