Question

An object of mass 30 kg is falling in air and experiences a force due to air resistance of 50 newtons. Determine the net force acting on the object and calculate the acceleration of the object.

Answer 1

The net force is 244 N and acceleration is
`8.14\ m/s^2`.

Step-by-step explanation:

Given that,

Mass of an object, m = 30 kg

It experiences a force due to air resistance of 50 N

We need to find the net force acting on the object and the acceleration of the object.

The force that is due to air resistance opposes the motion of the object. The net force acting on it is :

`F_(net)=mg-f`

f is air resistance

`F_(net)=30* 9.8-50\\\\=244\ N`

Let a be the acceleration of the object. Using second law of motion to find it :

`F_(net)=ma\\\\a=(F_(net))/(m)\\\\a=(244)/(30)\\\\=8.14\ m/s^2`

Hence, the net force is 244 N and acceleration is
`8.14\ m/s^2`.