To evaluate the statements based on the investigation of inertia and the behavior of the boxes under a constant force, we need to understand the concept of inertia, which is related to mass.
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Objects with greater mass have greater inertia, meaning they resist changes in their state of motion more than lighter objects.
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When the same force is applied to different masses, the acceleration (and consequently the distance traveled over time) will differ due to Newton's second law of motion (F = ma). Here, a greater mass (with more inertia) will accelerate less than a smaller mass when the same force is applied.
With this understanding, let's analyze each statement:
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Box A travels the farthest because it has the most inertia.
This is likely false if Box A has the largest mass, because a box with more mass (more inertia) would accelerate less, leading it to travel shorter distances under the same force compared to those with less mass. -
Box B travels less than Box C because it has more inertia.
This statement would depend on the actual masses of Box B and Box C. If Box B has more mass (and thus more inertia) than Box C, it would indeed travel less far under the same force. If B has less mass than C, this statement would be false. -
Box C travels more than Box B because it has more inertia.
This statement is incorrect if Box C has more mass than Box B. Having more inertia would cause Box C to travel less far if the same force is applied. -
Box D travels the least because it has the lowest amount of inertia.
This statement could be true if Box D has the least mass. A lighter box experiences a greater acceleration under the same force, so it travel farther. However, if Box D is the lightest, it might actually travel the farthest given that it has the least inertia.
Without specific data on the masses and the travel distances of each box in the table, it is difficult to definitively say which statement is true. However, generally speaking, the last statement can be identified as possibly misleading, as an object with less inertia (less mass) typically travels farther, not the least.
Thus, without knowing the specific results in the table, we cannot choose a true statement reliably, but the reasoning about inertia and mass suggests that heavier objects (with more inertia) will travel less distance under the same force.
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