The potential energy of a particle of mass m at distance r from O is V(r)=kr²/2. The particle moves in a circular orbit of radius R. If v is its speed and L its angular momentum about O, which statements are correct?
Select all that apply

Question

The potential energy of a particle of mass m at distance r from O is V(r)=kr²/2. The particle moves in a circular orbit of radius R. If v is its speed and L its angular momentum about O, which statements are correct?

Select all that apply

G1 Physics · Accepted Answer

The central force magnitude is F=dV/dr=kr. Circular motion requires mv²/R=kR, so v=R√(k/m). Then L=mRv=R²√(mk). Therefore B and C are correct.