Question

An object of mass 30kg is falling in the air and air resistance of 50 Newton’s what net force is acting on the object

Answer 1

Answer:

The net force = 250 N

The acceleration of the object.: \rm \dfrac{25}{3}\:m/s325m/s

Further explanation

Newton's 2nd law explains that the acceleration produced by the resultant force on an object is proportional and in line with the resultant force and inversely proportional to the mass of the object

\rm \large{\boxed{\boxed{\bold{\Sigma F=m\times a}}}

\large {\boxed {\bold {a = \dfrac {\sum F} {m}}}

F = force, N

m = mass = kg

a = acceleration due to gravity, m / s²

There are 2 forces acting on objects falling in the air, friction with air (fa) and gravity (Fg) due to the mass of the object

These two forces are in opposite directions. The frictional force is upward, while the gravity is downward

\begin{gathered}\rm Fg=m\times g\\\\Fg=30\times 10\\\\Fg=\boxed{300\:N}\\\\fa=\boxed{50\:N}}\end{gathered}

So that the net force acts on the object

∑F = Fg - fa

(Fg is positive according to the direction of falling object, and fa is negative because it is opposite to the direction of motion of the object)

∑F = 300 - 50

∑F = 250 N

While the acceleration, we can apply Newton's second law

∑F = m.a

250 = 30.a

a = 25/3  m/s