The red box has a mass of 25.2 kg and the blue box has a mass of 12.5 kg and the force is 211 N. To the nearest tenth of a m/s2 what is the acceleration of the combination?
I have no idea what the configuration of these boxes is. Is the big one on a table and the little one hanging or something? Where and how is this force acting?
To find the acceleration of the combination of the red and blue boxes, we can use Newton's second law of motion, which states that 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 system can be calculated by adding the forces acting on each box. Since the force is applied to both boxes, the total force acting on the system is 211 N.
The total mass of the system is the sum of the masses of the red and blue boxes, which is 25.2 kg + 12.5 kg = 37.7 kg.
Now, we can use Newton's second law to find the acceleration:
acceleration = net force / total mass
acceleration = 211 N / 37.7 kg
Using a calculator, we can divide 211 by 37.7 to get the acceleration of the combination of the boxes.
acceleration ≈ 5.6 m/s²
So, to the nearest tenth of a m/s², the acceleration of the combination is 5.6 m/s².