By Newton's second law we know that the acceleration is related to the force applied and the mass of the object by:
[tex]a=\frac{F}{m}[/tex]If the force is the same and the mass is 17 times more, then the new acceleration is:
[tex]\begin{gathered} a^{\prime}=\frac{F_{}}{17m} \\ a^{\prime}=\frac{1}{17}\cdot\frac{F}{m} \\ a^{\prime}=\frac{1}{17}a \end{gathered}[/tex]Therefore the acceleration of the new mass is one seventeenth of the original acceleration and hence the answer is C