Circular Motion

AP Physics 1· difficulty 3/5

At the <strong>bottom</strong> of a vertical loop, the normal force on the rider of mass mm moving with speed vv in a loop of radius RR is

  • A

    mv2/Rm v^2/R

  • B

    mv2/R+mgm v^2/R + m g

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  • C

    mv2/Rmgm v^2/R - m g

  • D

    mgm g

Explanation

At the bottom, normal force points up and gravity down; net upward must equal centripetal: Nmg=mv2/RN=mv2/R+mgN - m g = m v^2/R \Rightarrow N = m v^2/R + m g.

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