1. Identify the Forces:
* Gravitational Force (Fg): This acts downward and is calculated using Fg = mg, where:
* m = mass (1.4 kg)
* g = acceleration due to gravity (approximately 9.8 m/s²)
* Air Resistance (Fair): This acts upward and is given as 2.5 N.
2. Calculate the Net Force:
* The net force (Fnet) is the vector sum of all forces acting on the object. Since the forces are in opposite directions, we subtract them:
* Fnet = Fg - Fair
3. Calculate the Acceleration:
* Use Newton's Second Law of Motion: Fnet = ma, where:
* a = acceleration
Calculations:
1. Gravitational Force:
* Fg = (1.4 kg)(9.8 m/s²) = 13.72 N
2. Net Force:
* Fnet = 13.72 N - 2.5 N = 11.22 N
3. Acceleration:
* a = Fnet / m = 11.22 N / 1.4 kg = 8.01 m/s²
Answer: The acceleration of the object is approximately 8.01 m/s² downward.