Answer:
Step-by-step explanation:
If two variables are directly proportional, it means that an increase in the value of one variable would cause a corresponding increase in the other variable. Also, a decrease in the value of one variable would cause a corresponding decrease in the other variable.
For a moving object, the force acting on the object varies directly with the object's acceleration. Let F represent force and A represent acceleration, if we introduce a constant of variation, k, then the expression becomes
F = kA
When a force of 72 N acts on a certain object, the acceleration of the object is 8 m/s^2. This means that
72 = 8k
k = 72/8 = 9
The equation becomes
F = 9A
If the acceleration of the object becomes 10 m/s^2, then the force would be
F = 9 × 10
F = 90N
