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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?

Respuesta :

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 [tex] \frac{F}{2} [/tex] now:

a=[tex] \frac{F}{2m} [/tex]

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


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

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=[tex] \frac{F/2}{m/2} [/tex]=a=[tex] \frac{2F}{2m} [/tex]=a=[tex] \frac{F}{m} [/tex]

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











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