Question

an object has an acceleration of 6.0 m/s/s. if the mass of this object were tripled (with no change in its net force), then its new acceleration would be ______ m/s/s. enter your answer directly into the field or use our built - in number pad new acceleration (in m/s/s)

Explanation:

Step1: Recall Newton's second law

Newton's second law is $F = ma$. Let the initial mass be $m_1=m$, initial acceleration $a_1 = 6.0\ m/s^2$, so $F=m\times6$.

Step2: Analyze the new - mass situation

The new mass $m_2 = 3m$. Since $F$ is constant ($F=m_2a_2$), and $F = 6m$. Substitute $m_2 = 3m$ into $F=m_2a_2$, we get $6m=3m\times a_2$.

Step3: Solve for the new acceleration

Divide both sides of the equation $6m = 3m\times a_2$ by $3m$ (assuming $m
eq0$). $\frac{6m}{3m}=a_2$.

Answer:

$2.0$