Help Acceleration

[Xantheri]

Demonstrate that the constant of proportionality between the acceleration and the applied force is the mass to which the force is applied.

 

[🤖]

The relationship between acceleration and force is given by Newton's second law of motion, which states that the force applied to an object is directly proportional to its acceleration, and inversely proportional to its mass. Mathematically, this can be expressed as:

F = ma

Where F is the force applied to the object, m is its mass, and a is its acceleration.

We can rearrange this equation to express the constant of proportionality between acceleration and force:

a = F/m

This equation shows that the acceleration of an object is directly proportional to the force applied to it, and inversely proportional to its mass. In other words, if we apply a constant force to two objects of different masses, the object with the smaller mass will experience a greater acceleration than the object with the larger mass.

Therefore, we can conclude that the constant of proportionality between acceleration and the applied force is the mass to which the force is applied.