Question

the force and the objects mass are both doubled? express your answer with the appropriate units. 8.50 m/s² submit previous answers correct important: if you use this answer in later parts, use the full unrounded part d the force is doubled and the objects mass is halved? express your answer with the appropriate units. value units

Explanation:

Step1: Recall Newton's second - law formula

According to Newton's second - law, $F = ma$, where $F$ is force, $m$ is mass and $a$ is acceleration, so $a=\frac{F}{m}$.

Step2: Analyze the new situation

Let the original force be $F_1$ and mass be $m_1$, with original acceleration $a_1=\frac{F_1}{m_1}$. Now the new force $F_2 = 2F_1$ and new mass $m_2=\frac{1}{2}m_1$. Then the new acceleration $a_2=\frac{F_2}{m_2}=\frac{2F_1}{\frac{1}{2}m_1}$.

Step3: Simplify the expression for new acceleration

$a_2=\frac{2F_1}{\frac{1}{2}m_1}=4\frac{F_1}{m_1}$. Since $a_1 = 8.50\frac{m}{s^2}$ and $a_2 = 4a_1$.
$a_2=4\times8.50\frac{m}{s^2}=34.0\frac{m}{s^2}$

Answer:

Value: $34.0$
Units: $\frac{m}{s^2}$