Final answer:
The resulting acceleration of a 1000 N object with an 800 N drag force is approximately 1.96 m/s², found by applying Newton's second law and dividing the net force by the object's mass.
Step-by-step explanation:
To determine the resulting acceleration of a 1000 N object experiencing an 800 N drag force, we need to apply Newton's second law of motion, which states that the net force acting upon an object is equal to the mass of the object times its acceleration (F = ma).
In this situation, the object is subjected to a net force which is the difference between the object's weight (gravitational force) and the drag force. The object's weight is the force due to gravity, which is equal to its mass times the acceleration due to gravity (W = mg), where g is 9.81 m/s² on Earth. However, since we are given the weight (1000 N), we can directly use it to find the net force: Net Force = 1000 N (gravitational force) - 800 N (drag force) = 200 N.
To find the object's acceleration, we divide the net force by the mass of the object. The mass (m) can be calculated from the object's weight: m = W/g = 1000 N / 9.81 m/s² ≈ 102 kg. Finally, the acceleration (a) is calculated by dividing the net force (200 N) by the mass (102 kg): a = 200 N / 102 kg ≈ 1.96 m/s², which is the resulting acceleration of the object.