Mass, m, is varies inversely as acceleration, a. The constant of variation is force,f. Write an equation to express this relationship.
Mass, m, is varies inversely as acceleration, a:
m = k / a
where k some constant.
since f is the constant of variation, we substitute f for k:
m = f / a
Thank you
To write an equation expressing the relationship between mass, acceleration, and force, we can start by defining the variables:
m: mass
a: acceleration
f: force
Given that mass is inversely proportional to acceleration, we can say that the product of mass and acceleration is equal to a constant:
m * a = k
Here, k is the constant of variation. We are told that this constant represents force, so we can replace k with f:
m * a = f
This equation expresses the relationship between mass, acceleration, and force in an inverse variation.