From greatest to least, rank the accelerations of the boxes.
C. <-5N--|3kg|--16N->
B. <-8N--|4kg|--16N->
A. <-4N--|5kg|--8N-->
D. <-2N--|20kg|--20->
Please read and follow directions.
Physics.
To rank the accelerations of the boxes from greatest to least, we need to calculate the acceleration for each box. Acceleration can be determined using Newton's second law, which states that acceleration is equal to the net force acting on an object divided by its mass.
To calculate the net force, we need to find the difference between the forces acting on each box. The net force is the sum of all the forces acting on the object. The force acting on an object can be positive or negative depending on the direction of the force. Positive forces indicate a force in the rightward direction, while negative forces indicate a force in the leftward direction.
Let's calculate the net force and acceleration for each box:
For box C:
Net force = 16N - (-5N) = 21N
Acceleration = Net force / mass = 21N / 3kg ≈ 7 m/s²
For box B:
Net force = 16N - (-8N) = 24N
Acceleration = Net force / mass = 24N / 4kg = 6 m/s²
For box A:
Net force = 8N - (-4N) = 12N
Acceleration = Net force / mass = 12N / 5kg = 2.4 m/s²
For box D:
Net force = 20N - (-2N) = 22N
Acceleration = Net force / mass = 22N / 20kg = 1.1 m/s²
Now that we have calculated the accelerations, we can rank them from greatest to least:
1. Box C: with an acceleration of approximately 7 m/s²
2. Box B: with an acceleration of 6 m/s²
3. Box A: with an acceleration of 2.4 m/s²
4. Box D: with an acceleration of 1.1 m/s²