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A bit of mud stuck to a bicycle's front ...

A bit of mud stuck to a bicycle's front wheel of radius r detaches and is flung horizontally forward when it is at the top of the wheel. The bicycle is moving forward at a speed v and it is rolling without slipping. The horizontal distance travelled by the mud after detaching from the wheel is:

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The correct Answer is:
2

`x=2v sqrt((2(2R))/g) = 2v sqrt((4R)/g) = sqrt((16Rv^(2))/g) = sqrt((16 xx 0.5 xx 5)/10) = 2m`
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