an object 12 kg of mass slides over a surface with horizontal force of 75 N. The friction force is of 17 N. Determine the acceleration of the object.
To determine the acceleration of the object, we need to apply Newton's second law of motion. According to this law, the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass.
The net force acting on the object can be calculated by subtracting the force of friction from the horizontal force applied:
Net Force = Applied Force - Friction Force
Net Force = 75 N - 17 N
Net Force = 58 N
Now, we can use Newton's second law of motion:
Net Force = Mass × Acceleration
Rearranging the equation for acceleration, we get:
Acceleration = Net Force / Mass
Acceleration = 58 N / 12 kg
Acceleration ≈ 4.83 m/s²
Therefore, the acceleration of the object is approximately 4.83 m/s².