A constant force is applied to an object, causing the object to accelerate at 10 m/s^2. What will the acceleration be if: a) The force is halved? b) The object's mass is halved? c) The force and the object's mass are both halved?

Verified Answer :

What you need to know is that the force is

F=ma

The force is the product of mass and acceleration

this means that the acceleration is

a=F/m

a) The force is halved?
this means that f will be \(\frac{F}{2}\) now:

a=\(\frac{F}{2m}\)

So the accelaration will also he halved (it's the original acceleratation divided by 2)


 b) The object's mass is halved?
a=\(\frac{F}{m/2}\)=a=\(\frac{F2}{m}\)

which is the original acceleration times two!! so it will double


c) The force and the object's mass are both halved?

now we have

a=\(\frac{F/2}{m/2}\)=a=\(\frac{2F}{2m}\)=a=\(\frac{F}{m}\)

so they will cancel each other out and the acceleration will stay the same!