Question

laws of motion. 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 5 1 pts an object has a mass of \m\, and acceleration of \a\, and a net force of \f\. if the objects force is changed to 5f, how many times greater must its acceleration be?

Explanation:

Step1: Recall Newton's second - law

According to Newton's second - law, $F = ma$.

Step2: Set up the initial and new situations

Initial: $F = ma$. New: $5F=m\times a_{new}$.

Step3: Solve for the new acceleration

From $5F=m\times a_{new}$ and $F = ma$, substitute $F$ in the new equation: $5(ma)=m\times a_{new}$.

Step4: Find the ratio of the new acceleration to the old acceleration

Divide both sides of $5(ma)=m\times a_{new}$ by $m$ (assuming $m
eq0$), we get $a_{new}=5a$. So the new acceleration is 5 times the old acceleration.

Answer:

5