Question

the diagram shows the path of a roller coaster cart as it moved over two pylons. at point d, the roller coaster cart has the highest kinetic energy. which point(s) on the roller coaster carts path would the kinetic energy be the next highest? a a b b c c d a and c

Explanation:

Step1: Understand the relationship between height and kinetic energy

In a roller - coaster system (assuming no non - conservative forces like friction is considered for simplicity), the total mechanical energy \(E = K + U\) (where \(K\) is kinetic energy and \(U=mgh\) is gravitational potential energy, \(m\) is mass, \(g\) is acceleration due to gravity, and \(h\) is height) is conserved. So, \(K=E - U\). When \(U\) is smaller, \(K\) is larger.

Step2: Compare the heights of points A, B, C, and D

Point D has the lowest height. Among points A, B, and C, point B has the lowest height. Since \(U = mgh\) (and \(m\) and \(g\) are constant), the potential energy at point B is lower than at points A and C. Then, using \(K = E - U\), the kinetic energy at point B is higher than at points A and C.

Answer:

B. B