FYKOS Year 33 Series 3 Problem 4 — ladybird on a rubber · FYKOS 33 #33.3.4

Physics · mechanics

Problem

Ladybird moves with velocity

4\,\mathrm{cm\cdot s^{-1}}

. When we place the ladybird onto a rubber, she comes through it in

10\,\mathrm{s}

. What happens when the ladybird starts moving and we start prolonging the rubber the way that its length will be increasing with velocity

5\,\mathrm{cm\cdot s^{-1}}

? Is the ladybird able to come through the whole rubber to its end? If yes, how long will it take? Consider that the rubber prolongs uniformly and never breaks.

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