Question

3.5 quiz- snapshot 2.1 started: oct 10 at 2:23pm quiz instructions question 3 20 pts a student pushes two boxes with the same force: box a has a mass of 10 kg and box b has a mass of 40 kg. what will happen? box b accelerates more than box a box a accelerates more than box b neither box accelerates both boxes accelerate the same

Explanation:

Step1: Recall Newton's second law

$F = ma$ (where $F$ is force, $m$ is mass and $a$ is acceleration), so $a=\frac{F}{m}$.

Step2: Analyze given masses

Box A has $m_A = 10$ kg and Box B has $m_B=40$ kg, and $F_A = F_B$.

Step3: Compare accelerations

Since $a=\frac{F}{m}$, when $F$ is constant, the smaller the mass $m$, the larger the acceleration $a$. As $m_A a_B$.

Answer:

Box A accelerates more than Box B