Two machines can be hooked together. When something is sent throu… - Vidyadip

Question

Two machines can be hooked together. When something is sent through this hook up, the output from the first machine becomes the input for the second.
$a.$ Which two machines hooked together do the same work a $(x102)$ machine does? Is there more than one arrangement of two machines that will work?

$b.$ Which stretching machine does the same work as two $(x2)$ machines hooked together?

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Answer

For getting the same work a $(x10^2)$ machine does, we have to $(x2^2)$ and $(x5^2)$ machines hooked together.$\therefore x10^2 = x100$
Similarly, $x2^2\times 5^2= x4 \times 25 = x100$
If two machines $(x2)$ and $(x2)$ are hooked together to produce $x4$,
then a$(x4)$ single machine produce the same work.

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