Answer:
Option C
Explanation:
We know that the force is the product of mass and acceleration, as follows:
F = ma
Solving for m, we get:
m = F/a
m = 200N/a (1)
Graphing the equation (1) we can notice that the graph has a vertical asymptote in y=0 and an horizontal asymptote in x=0. This happens for the following reasons:
Vertical Asymptote:
As the acceleration approaches 0, then the mass then the mass to mantain the force of 200 Newtons gets infinitely large. For example:
m = 200N/a
Let's say the acceleration equals 1, then the mass necessarily is 200kg.
If the acceleration equals 0.5, then the mass necessarily is 400kg.
If the acceleration equals 0.1, then the mass is 2000kg.
The less value the acceleration has, the highest value the mass will have. So As the acceleration approaches 0, then the mass then the mass to mantain the force of 200 Newtons gets infinitely large.
Horizontal Asymptote:
As the acceleration becomes infinitely large, the mass to mantain a force of 200 N approaches zero. For example:
m = 200N/a
Let's say the acceleration equals 1, then the mass necessarily is 200kg.
If the acceleration equals 2, then the mass necessarily is 100kg.
If the acceleration equals 10, then the mass is 20kg.
So the higher the value the acceleration has, the lesser the value the mass will have. So As the acceleration becomes infinitely large, the mass to mantain a force of 200 N approaches zero.
The option A is WRONG because the force is 200N. It doesn't change.
The option B is WRONG because, again, the force is said to be 200N and it doesn't change.
The option D is WRONG because it does have asymptotes!