# Relationship of mass and acceleration

### Force, Mass, Acceleration | Zona Land Education

Newton's Second Law of Motion states, “The force acting on an object is equal to the mass of that object times its acceleration.”. The relationship between mass and acceleration is described in Newton's Second Law of Motion. His Second Law states that the more mass. changes its motion. Second Law: Law of Force and Acceleration. The second law describes the relationship between force, mass, and acceleration. When mass.

The pull or push may come from direct contact or, in the case of gravity, electricity and magnetism, from a distance. Scientists measure force in units called newtons, where one newton is the force needed to accelerate a 1-kilogram mass one meter per second squared. Acceleration comes only from a change in speed.

When an object gains speed, its acceleration is positive; when speed is lost, acceleration is negative. You measure speed in units of distance divided by time, such as miles per hour or meters per second. Acceleration is the change in speed divided by the time the speed takes to change, so it is meters per second per second, or meters per second squared.

Sciencing Video Vault Meaning of Mass The mass of an object is a measure of how much matter it contains.

A rubber ball has less mass than a lead ball of the same size because it has less matter in it, fewer atoms and fewer of the protons, neutrons and electrons that make up the atoms. Mass also resists the effort to push or pull it; a ping-pong ball is easy to pick up and toss; a garbage truck is not.

The truck is more massive than the ping-pong ball by many thousands of times. The Direction of the Net Force and Acceleration As stated abovethe direction of the net force is in the same direction as the acceleration. Thus, if the direction of the acceleration is known, then the direction of the net force is also known. Consider the two oil drop diagrams below for an acceleration of a car.

• Forces, mass and acceleration
• Newton's Second Law
• Relationships between acceleration, force and mass

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.

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. In the simplest case, a force applied to an object at rest causes it to accelerate in the direction of the force.

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 Mighty F = ma

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. 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.

### Relationships between acceleration, force and mass

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.

force, mass, and acceleration formula