A block of mass m is hit by a force which causes the block to have an acceleration of magnitude a. If the same force hits a secondblock of mass 17m, then the acceleration of the second block will have what magnitude?A) 17aB) aC) one seventeenth of aD) 289aE) Zero

Respuesta :

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