Energy Equation for a Roller Coaster on a Full Circular Loop

[Np14]

Homework Statement

What is the energy equation for a roller coaster already in motion from the ground with to the top of a full circular loop = point B in the image. My question is would the car still have kinetic energy at the top of the loop?

Homework Equations

Kinetic Energy Equation 1/2m(v^2), Gravitational Potential Energy Equation U_g = 1/2(mgh)

The Attempt at a Solution

This is a yes or no question, I don't know what work I can really show.

The equation I figured out: K = U_g + K
Not sure if it is correct please help.

 

[kuruman]

To answer "yes" or "no" you need to show some work, namely a calculation of the kinetic energy at point B. For that you will need the kinetic energy at point A. Do you know (or have information) what it is? Also, the equation you figured is incorrect. Mechanical energy conservation means that the kinetic + potential at point A is the same aas kinetic + potential at point B.
K_A + U_A = K_B + U_B.

 

[SammyS]

Homework Statement

What is the energy equation for a roller coaster already in motion from the ground with to the top of a full circular loop = point B in the image. My question is would the car still have kinetic energy at the top of the loop?

Homework Equations

Kinetic Energy Equation 1/2m(v^2), Gravitational Potential Energy Equation U_g = 1/2(mgh)

The Attempt at a Solution

This is a yes or no question, I don't know what work I can really show.

The equation I figured out: K = U_g + K
Not sure if it is correct please help.

First of all: The opening sentence of the problem statement is garbled as if you left out some words in one or more places.

What is the energy equation for a roller coaster already in motion ?⋅?⋅?⋅?⋅? from the ground with ?⋅?⋅?⋅?⋅? to the top of a full circular loop = point B in the image.​

Above is the screen shot of a 2× enlargement of the image you uploaded . (The combination of enlargement and of using a screen shot makes it a little fuzzy.)

In addition to that, you have have an incorrect expression for Gravitational Potential Energy. The correct expression is: U_g = mgh .

Beyond that:
I entirely agree with (Dr.) @kuruman's comments.

.