Question

A roller coaster car of mass 200 kg is launched at point B with sufficient speed to round the top of the loop at point C without leaving the track. The radius of curvature at C is R. Determine the height h of the incline d to which the car will reach.

a) h = R
b) h = R/2
c) h = R/4
d) h = R/8

Answer 1

The problem posed is a physics question regarding conservation of energy and centripetal force in a roller coaster loop. Without additional information regarding initial speed or conditions of motion, it is not possible to definitively choose from the provided height options a, b, c, d.

Step-by-step explanation:

The question involves finding the height h to which a roller coaster car will reach after being launched with enough speed to round the top of a loop without leaving the track. This is a classic problem in physics, specifically involving conservation of energy and centripetal force. The height h the roller coaster car reaches after completing the loop depends on the initial kinetic energy and potential energy at the top of the loop, which equates to the potential energy at height h. However, the original question provided does not supply enough information to provide a specific answer among the choices a) h = R, b) h = R/2, c) h = R/4, d) h = R/8, as details like the initial speed at point B and the mass of the car are not sufficient to determine the exact height h without additional information such as the speed at the top of the loop.