Final answer:
The acceleration of a 50-kg wagon being pulled with 400N of force and experiencing 200N of friction is 4 m/s².
Step-by-step explanation:
To calculate the acceleration of the wagon, we need to find the net force acting on it. The net force is the difference between the applied force and the force of friction.
Given that the wagon is being pulled with a force of 400N and experiencing a friction force of 200N, the net force can be calculated as:
Net force = Applied force - Friction force = 400N - 200N = 200N
To find the acceleration, we can use Newton's second law of motion, which states that the net force acting on an object is equal to the product of its mass and acceleration:
Net force = Mass * Acceleration
Plugging in the values, we have:
200N = 50kg * Acceleration
Solving for acceleration, we get:
Acceleration = 200N / 50kg = 4 m/s²