Final answer:
The mass of the 200N object is approximately 20.41 kg. The net force acting on the object is 50N, and the resulting acceleration is approximately 2.45 m/s² to the right.
Step-by-step explanation:
Finding Mass, Net Force, and Acceleration
A 200N object is pulled across a rough surface with an 80N force to the right and a 30N frictional force opposing the movement. We need to calculate the object's mass, the net force, and its acceleration. The mass can be determined using the weight of the object and the acceleration due to gravity (g = 9.8 m/s²), so mass (m) = weight (W) / g = 200N / 9.8 m/s² = 20.41 kg (approximately).
The net force (F_net) acting on the object is found by subtracting the frictional force from the applied force: F_net = 80N - 30N = 50N. Finally, to find the object's acceleration (a), we use Newton's second law of motion: F_net = m × a. After rearranging the formula to solve for a, we have a = F_net / m = 50N / 20.41 kg ≈ 2.45 m/s² to the right.