For a moving object, the force acting on the object varies directly with the object's acceleration. When a force of

48 N
acts on a certain object, the acceleration of the object is
6 /ms2
. If the force is changed to
72 N
, what will be the acceleration of the object?

1 answer

We can use the formula:

force = mass x acceleration

To solve for acceleration, we can rearrange the formula as:

acceleration = force / mass

Since the mass of the object is not given, we can assume it to be constant and cancel it out in the equation.

So, we have:

acceleration = force / mass

acceleration = (48 N) / (mass)

acceleration = 48/mass

Now, we can use the given acceleration of 6 m/s^2 to find the mass of the object:

6 = 48/mass

mass = 8 kg

Now, we can use the formula again to find the new acceleration with a force of 72 N:

acceleration = force / mass

acceleration = (72 N) / (8 kg)

acceleration = 9 m/s^2

Therefore, the acceleration of the object with a force of 72 N is 9 m/s^2.