Question

a roller coaster starts from rest at point a. the mass of the cart with riders is 810 kg. the motor of the roller coaster does work to get the car up the hill to point b. from point b, the cart relies on energy transformations to make it through the rest of the shown portions of the roller coaster. g=9.8 m/s²
1a. at what point in this roller coaster does the cart have the most gravitational potential energy?
a point a
b point b
c point c
d point d

Explanation:

Gravitational potential energy is calculated using the formula \(U = mgh\), where \(m\) is mass, \(g\) is the acceleration due to gravity, and \(h\) is height. Since \(m\) and \(g\) are constant for the cart, the gravitational potential energy depends only on \(h\). The higher the cart is, the greater its gravitational potential energy. Looking at the roller - coaster diagram, point B is the highest among points A, B, C, and D.

Answer:

B. Point B