Answers

1. Answer:

   Ratio is 100:1

   Explanation:

   From hydraulic press formulas;

   (F1/A1) = (F2/A2)

   Applying this to the question, we can say that Force on slave cylinder (Fs) = F1 while Force on master cylinder (Fm) = F2 and their respective Areas as As and Am.

   Now plugging it into the equation to obtain;

   Fs/As = Fm/Am

   Now, the question says the hydraulic system is designed to exert a force 100 times as big as the one put into it, thus;

   Fs = 100 Fm

   And so from the equation earlier, rearranging, we have,

   Fs/Fm = As/Am. So, 100Fm/Fm = As/Am

   So, Fm will cancel out and we have ;

   As/Am = 100/1

   Thus, the ratio of the area of the slave cylinder to the master cylinder is 100:1

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