# Relationship between force mass and acceleration

### What is the relationship between force and acceleration mass? | How Things Fly This detailed experiment involves measurement of acceleration. Apparatus and materials For each student groups Dynamics trolleys, up to 3. Newton's Second Law of Motion states, “The force acting on an object is equal to the mass of that object times its acceleration.”. Among other important ideas, he described the second law of motion – that force is equal to mass times acceleration or f = ma. Force equals mass times acceleration or f = ma. Scientists measure force in units called newtons, where one newton is the force needed to accelerate a 1.

From the diagram, determine the direction of the net force that is acting upon the car. Then click the buttons to view the answers. If necessary, review acceleration from the previous unit.

### Force, Mass & Acceleration: Newton's Second Law of Motion

See Answer The net force is to the right since the acceleration is to the right. An object which moves to the right and speeds up has a rightward acceleration. See Answer The net force is to the left since the acceleration is to the left. An object which moves to the right and slows down has a leftward acceleration.

• What is the relationship between force and acceleration mass?
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• Meaning of Force

In conclusion, Newton's second law provides the explanation for the behavior of objects upon which the forces do not balance. The law states that unbalanced forces cause objects to accelerate with an acceleration that is directly proportional to the net force and inversely proportional to the mass.

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## Newton's Second Law

You can find it in the Physics Interactives section of our website. However, if the object is already in motion, or if this situation is viewed from a moving inertial reference frame, that body might appear to speed up, slow down, or change direction depending on the direction of the force and the directions that the object and reference frame are moving relative to each other.

The bold letters F and a in the equation indicate that force and acceleration are vector quantities, which means they have both magnitude and direction.

The force can be a single force or it can be the combination of more than one force.

Force =Mass X Acceleration

It is rather difficult to imagine applying a constant force to a body for an indefinite length of time. In most cases, forces can only be applied for a limited time, producing what is called impulse. For a massive body moving in an inertial reference frame without any other forces such as friction acting on it, a certain impulse will cause a certain change in its velocity. The body might speed up, slow down or change direction, after which, the body will continue moving at a new constant velocity unless, of course, the impulse causes the body to stop. There is one situation, however, in which we do encounter a constant force — the force due to gravitational acceleration, which causes massive bodies to exert a downward force on the Earth.

Notice that in this case, F and g are not conventionally written as vectors, because they are always pointing in the same direction, down. The product of mass times gravitational acceleration, mg, is known as weight, which is just another kind of force. Without gravity, a massive body has no weight, and without a massive body, gravity cannot produce a force.

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In order to overcome gravity and lift a massive body, you must produce an upward force ma that is greater than the downward gravitational force mg. Newton's second law in action Rockets traveling through space encompass all three of Newton's laws of motion.

If the rocket needs to slow down, speed up, or change direction, a force is used to give it a push, typically coming from the engine. 