Physics

Problem

A roller coaster cart is designed to complete a vertical loop-the-loop track of radius

R = 10\,\text{m}

. The cart enters the bottom of the loop with a speed

v_{0}

. Friction is negligible. What is the maximum height relative to the bottom of the loop that the cart reaches if its initial speed at the bottom is

v_{0} = 15\,\text{m/s}

? (Note: Check if it completes the loop). Take

g = 10\,\text{m/s}^{2}