Question

An object pf 2kg falls from 50m height. The object experiences air resistance of 0.2N when it is falling down. How much time is required for the object to fall on the ground?

Answer 1

To determine the time required for the object to fall to the ground, we can use the equations of motion. However, it's important to note that the inclusion of air resistance complicates the problem since it depends on various factors such as the shape and size of the object.

In this case, let's assume that the air resistance remains constant throughout the fall. We can use the following equation of motion:

$F_{\text{net}}=m\cdot a$

The net force ($F_{\text{net}}$) acting on the object is the force of gravity ($mg$) minus the force of air resistance ($0.2\text{N}$):

$mg-0.2\text{N}=m\cdot a$

Where: $m=2\text{kg}$ (mass of the object) $g=9.8{\text{m/s}}^2$ (acceleration due to gravity)

Rearranging the equation, we have:

$a=\frac{mg-0.2\text{N}}{m}$

a=g−0.2 Nma = g - frac{0.2, ext{N}}{m}a=g−m<span class="pstrut