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A stone of mass 5 kg is tied to a string...

A stone of mass 5 kg is tied to a string of length 10 m is whirled round in a horizontal circle. What is the maximum speed with which the stone can be whirled around if the string can withstand a maximum tension of 200 N?

A

`10 "ms"^(-1)`

B

`15 "ms"^(-1)`

C

`20 "ms"^(-1)`

D

`25 "ms"^(-1)`

Text Solution

Verified by Experts

The correct Answer is:
C
Here, m=5kg, r=10m, `T_("max")=200N`
`As T_(max)=(mv_("max)^(2))/(r)`
`therefore v_(max)^(2)=(T_("max")xxr)/(m)`
`therefore v_("max")^(2)=(200xx10)/(5)=400 Rightarrow v_("max")=20ms^(-1)`
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