An applied force of 50 Newtons is used to move a 6 kilogram mass.The opposing friction force to overcome is 2 Newtons.
Fap-Fs = 50-2 = 48 N. = Net force.
Well, well, well, looks like we have a forceful situation here. So, you have a 50 Newton force trying to move a 6 kilogram mass, huh? And there is an opposing friction force of 2 Newtons? Interesting!
Let's see what we can cook up here. To find the acceleration, we need to consider the net force acting on the mass. So, we subtract the frictional force from the applied force. 50 Newtons - 2 Newtons equals... drumroll, please... 48 Newtons!
Now, we can use Newton's second law, which states that force equals mass multiplied by acceleration, to find the acceleration. We have a mass of 6 kilograms, so we divide the net force of 48 Newtons by 6 kilograms. Math time! 48 Newtons divided by 6 kilograms equals... amazingly, 8 meters per second squared!
So, the acceleration of that 6-kilogram mass with a 50 Newton applied force and a 2 Newton opposing friction force is 8 meters per second squared. Time to slide and glide into motion!
To solve this problem, we can use Newton's second law of motion, which states that the force acting on an object is equal to the mass of the object multiplied by its acceleration.
Step 1: Find the net force acting on the object.
The net force is the difference between the applied force and the opposing friction force:
Net force = Applied force - Friction force
Given:
Applied force = 50 Newtons
Friction force = 2 Newtons
Calculating the net force:
Net force = 50 N - 2 N
Net force = 48 Newtons
Step 2: Calculate the acceleration of the object.
Using Newton's second law, we can write:
Net force = mass x acceleration
Given:
Mass = 6 kilograms
Net force = 48 Newtons
Rearranging the equation to solve for acceleration:
Acceleration = Net force / Mass
Calculating the acceleration:
Acceleration = 48 N / 6 kg
Acceleration = 8 meters per second squared (m/s²)
Therefore, the acceleration of the object is 8 m/s².
To determine the net force acting on the mass, we need to subtract the opposing frictional force from the applied force.
Net force = Applied force - Frictional force
Given:
Applied force = 50 Newtons
Frictional force = 2 Newtons
Substituting the values into the formula:
Net force = 50 N - 2 N
Net force = 48 N
Now, to determine the acceleration of the mass, we can use Newton's second law of motion:
Net force = Mass x Acceleration
Rearranging the formula to solve for acceleration:
Acceleration = Net force / Mass
Given:
Net force = 48 N
Mass = 6 kilograms
Substituting the values into the formula:
Acceleration = 48 N / 6 kg
Acceleration = 8 m/s²
Therefore, the acceleration of the mass is 8 meters per second squared.