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A 10 kg mass is attached to a string that has a breaking strength of 1,500 N. if the mass is whirled in a horizontal circle of radius 90 cm, what is the maximum speed it can have ? (Neglect the effects of gravity). |
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Answer» Solution :The first thing to do in a problem LIKE this is to identify what force (s) provide the centripetal force. In this example, the tension in the string provides the centripetal force: `F_(T)` provides `F_(c)=IMPLIES F_(T)=(MV^(2))/(v)implies v=sqrt((rF_(T))/(m)) implies v_(MAX)=sqrt((rF_(T,max)))/(m)=sqrt(((0.90m)(1500N))/(10kg))` `=12m//s` |
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