Final answer:
The forces on the block can be visualized using a free-body diagram, with the net force acting on the block calculated as 125 N to the right. Given this net force, the block has an acceleration of 5 m/s².
Step-by-step explanation:
Given that the block has a mass of 25 kg and is subjected to an applied force of 200 N opposing a frictional force of 75 N, let's address each part of your question seperately:
- A free-body diagram would involve three primary forces: The gravitational force acting downwards (Weight = mass * gravity = 25 kg * 9.8 m/s² = 245 N), the normal force acting upwards (equal to the gravitational force as there is no vertical movement), the applied force of 200 N to the right, and the frictional force of 75 N to the left.
- The net force acting on the block would be calculated by subtracting the frictional force from the applied force (Net force = Applied force - Frictional force = 200 N - 75 N = 125 N).
- The acceleration of the block is obtained by dividing the net force by the mass of the block (Acceleration = Net force / Mass = 125 N / 25 kg = 5 m/s²).
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