For movers pick up boxes each box has a different mass and each mover applies a different amount of force to lift the box. Which box will have the greatest acceleration is it 20 kg box lifted with 40 N of force or be 10 kg box lifted with 60 N of force or C 20 kg box lifted with 60 N of force or DA 10 kg box lifted with 40 N of force.
To determine which box will have the greatest acceleration, we can use Newton's second law of motion, which states that the acceleration of an object is directly proportional to the net force applied to it and inversely proportional to its mass. Mathematically, it can be expressed as:
acceleration = net force / mass
Let's calculate the acceleration for each box using the given data:
For box A (20 kg box lifted with 40 N of force):
acceleration (A) = 40 N / 20 kg = 2 m/s²
For box B (10 kg box lifted with 60 N of force):
acceleration (B) = 60 N / 10 kg = 6 m/s²
For box C (20 kg box lifted with 60 N of force):
acceleration (C) = 60 N / 20 kg = 3 m/s²
For box D (10 kg box lifted with 40 N of force):
acceleration (D) = 40 N / 10 kg = 4 m/s²
Comparing the accelerations, we can see that the box with the greatest acceleration is box B (10 kg box lifted with 60 N of force), with an acceleration of 6 m/s².