A small cart of mass enters the bottom of a vertical circular loop of radius with speed

PHYSICS · Single correct · AP · Physics 1: Algebra-based · Force and Translational Dynamics · Force and Translational Dynamics

Problem

A small cart of mass

m

enters the bottom of a vertical circular loop of radius

5.0\,\text{m}

with speed

v_0

. What is the minimum value of

v_0

so that the cart just maintains contact with the track at the top of the loop? (Take

g = 9.8\,\text{m}\,\text{s}^{-2}

.) (a)

17.1\,\text{m}\,\text{s}^{-1}

(b)

12.1\,\text{m}\,\text{s}^{-1}

(c)

15.7\,\text{m}\,\text{s}^{-1}

(d)

14.0\,\text{m}\,\text{s}^{-1}