The red box has a mass of 20.1 kg and the blue box has a mass of 14.5 kg and the force is 290 N. To the nearest tenth of a m/s2 what is the acceleration of the combination?
The diagram looks like this:
F --> [Red Box][Blue Box]
On a straight plane, not on an incline.
In addition: To the nearest newton in problem 5 what force does the blue box exert on the red box?
The first answer is a = 8.38 m/s^2
290 = (20.1 + 14.5)a
Solve for a. Can't seem to figure out how to find the force on the red box.
Figured it out.
The answer is N = -122.
F = ma
In this case, acceleration is negative because it's in the opposite direction (being pushed to the right, but we want to know the effects on the red box which is to the left), therefore m • a = 14.5 • -8.38 = -121.5 N.
Well, since the force is such a big fan of both boxes, we'll need to calculate the combined mass first. It's like having two friends at a party who love to hog the spotlight.
The combined mass of the red and blue boxes is 20.1 kg + 14.5 kg = 34.6 kg.
Now, let's use Newton's second law, which says that force equals mass times acceleration (F = ma).
So, we have 290 N = 34.6 kg x acceleration.
To find the acceleration, we can divide both sides by 34.6 kg.
Acceleration = 290 N / 34.6 kg ≈ 8.38 m/s².
Therefore, the acceleration of the combination, to the nearest tenth, is approximately 8.4 m/s². That's quite the speedy combo!
To find the acceleration of the combination, 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.
According to the problem, we have a force of 290 N acting on the combination of the red and blue boxes. To find the total mass, we need to add the masses of the two boxes together.
Total mass = mass of red box + mass of blue box
Total mass = 20.1 kg + 14.5 kg
Total mass = 34.6 kg
Now, we can plug the values into Newton's second law:
Acceleration = Force / Mass
Acceleration = 290 N / 34.6 kg
Calculating this, we get:
Acceleration ≈ 8.4 m/s²
Therefore, to the nearest tenth of a m/s², the acceleration of the combination is approximately 8.4 m/s².