Question

12 multiple choice 1 point a force of f newtons will give an object with a mass of m an acceleration of a. the same force will give a mass of 2m an acceleration of a/4 a/2 2a a clear my selection 13 multiple choice 1 point if the mass of a moving object is doubled, its inertia would be four times greater halved the same

Explanation:

Step1: Recall Newton's second - law

$F = ma$

Step2: For the first case

$F=ma$

Step3: For the second case

Let the new acceleration be $a_1$, and mass $m_1 = 2m$, with the same force $F$. So $F=m_1a_1=2ma_1$. Since $F = ma$ and $F = 2ma_1$, then $ma=2ma_1$. Solving for $a_1$ gives $a_1=\frac{a}{2}$.

Step4: Recall the concept of inertia

Inertia is directly proportional to mass. If mass is doubled, inertia is also doubled. But among the given options, the closest correct - related concept answer is that it is not halved or the same.

Answer:

1. B. a/2
2. Inertia is directly proportional to mass. When mass is doubled, inertia is doubled. But considering the options, none of them are completely correct in a strict sense. If we assume the question is asking about the change relative to the given options, we note that inertia is not halved or the same. If we had to pick from the given options, the concept is related to the fact that inertia increases with mass, and the incorrect options of halving or remaining the same are wrong. However, if we consider the closest physical - principle - related answer, we know that inertia is proportional to mass and doubling mass doubles inertia. Since the options are not ideal for a perfect answer, we can only say based on the principle that the answer is inconsistent with the given options in a strict sense. But if we had to pick, we know the wrongness of halving and remaining the same.