Final answer:
The acceleration of a 12 kg mass being pulled upward with a tension of 175 N against a gravitational force of 118 N is 4.75 m/s².
Step-by-step explanation:
The student is asking about calculating the acceleration of an object when a tension force is applied against the gravitational force. The given values are a tension force of 175 N and a gravitational force of 118 N on a 12 kg mass. Using Netwon's second law of motion, which states that the net force acting on an object is equal to the mass of the object multiplied by its acceleration (F = ma), we can find acceleration by rearranging the formula to a = F/m. First, we need to calculate the net force, which is the difference between the tension force and the gravitational force (175 N - 118 N = 57 N). Then we can use this net force to find the acceleration: a = F/m = 57 N / 12 kg = 4.75 m/s². Hence, the acceleration of the mass is 4.75 m/s².