What if you quadruple the force and keep the force constant what will happen to the resulting acceleration?
What if you quadruple the force and keep the mass constant, what will happen to the resulting acceleration?
Isn't f = ma? So if f is made 4f what must happen to a to keep the equation happy?
If you quadruple the force and keep the mass constant, according to Newton's second law of motion, the resulting acceleration will also quadruple.
Newton's second law states that the acceleration of an object is directly proportional to the net force applied to it and inversely proportional to its mass. Mathematically, we can express this as:
F = m * a
Where:
F is the net force applied to the object,
m is the mass of the object, and
a is the resulting acceleration.
In this case, we are keeping the mass constant, so the equation simplifies to:
F1 = m * a1
If we quadruple the force (F1 = 4F), the equation becomes:
4F = m * a1
Rearranging the equation for acceleration:
a1 = (4F) / m
Since mass is constant, we can write it as:
a1 = (4 * F) / m
This equation shows that the acceleration (a1) is directly proportional to the force (F). Therefore, if the force is quadrupled, the acceleration will also quadruple.
In summary, by quadrupling the force while keeping the mass constant, the resulting acceleration will increase by a factor of four.