An object whose mass is 80 grams has an acceleration of 20 meters per seconds squared. What calculation will give us the sum of the forces that act on the object, in Newtons

The sum of forces acting on the object is 1.6 N

Step-by-step explanation:

F = force (N)

m = mass (kg)

a = acceleration (m/s²)

F = ma

or rather:

Sum of all Fs = ma

The sum of all forces refers to all forces acting to move the object fowards (e.g. force produced by the engine of a car) take all forces acting to stop the object moving forward (e.g. friction or air resistance)

In this case:

F = 0.08 × 20

F = 1.6 N

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below: