Understanding the Forces
* Gravity: The force of gravity acting on the object (weight) is calculated using:
* Force (Fg) = mass (m) * acceleration due to gravity (g)
* Fg = 50 kg * 9.8 m/s² = 490 N
* Air Resistance: The force opposing the object's motion through the air is 400 N.
Net Force
The net force acting on the object is the difference between the force of gravity and the air resistance:
* Net Force (Fnet) = Fg - Air Resistance
* Fnet = 490 N - 400 N = 90 N
Acceleration
Finally, we can calculate the acceleration using Newton's Second Law:
* Fnet = mass (m) * acceleration (a)
* 90 N = 50 kg * a
* a = 90 N / 50 kg = 1.8 m/s²
Therefore, the acceleration of fall for the object is 1.8 m/s².
Important Note: This calculation assumes that the object is already falling and that the air resistance force is constant. In reality, air resistance often changes depending on factors like speed and the object's shape.
