Question

take quiz exit laws or fiction. this knowledge check is worth 10 points in the grade book and can be taken up to 4 times. i will take your highest score to put in the grade book. please note that some questions use randomized numerical values in the questions, so some problems and answers may change when you retake the knowledge check. question 6 1 pts a box is placed on the floor and is pushed with some force. it has an acceleration due to the force. if the objects mass is doubled, what must happen to its acceleration? the acceleration must be cut in half the acceleration must be doubled

Explanation:

Step1: Recall Newton's second law

$F = ma$, where $F$ is force, $m$ is mass and $a$ is acceleration.

Step2: Analyze the situation with doubled mass

Let the initial force be $F$, initial mass be $m_1$ and initial acceleration be $a_1$, so $F=m_1a_1$. When the mass is doubled ($m_2 = 2m_1$) and the force $F$ remains the same, we have $F=m_2a_2=2m_1a_2$. Since $F = m_1a_1$ and $F = 2m_1a_2$, then $m_1a_1=2m_1a_2$. Solving for $a_2$ gives $a_2=\frac{1}{2}a_1$.

Answer:

The acceleration must be cut in half