"In Section 1.3, you will consider the gravitational potential, kinetic, and the total mechanical energy of a cart moving down an inclined ramp in a cart-Earth system. (Refer toFigure 6. 2). Define the gravitational potential energy to be zero when the cart is at the bottom of the ramp. Write an expression for the gravitational potential energy of the cart-Earth system in terms of the cart’s mass mm, the cart’s position along the inclined ramp xx, and the angle of the ramp T. "

P = m g x sin theta

Explanation:

First, we state the equation of the height, and we have

height = x sin theta, where theta is the angle of the ramp, T

Now, we know that the gravitational potential energy is defined as the "potential energy a massive object has in relation to another massive object as a result of gravity."

We have gravitational potential energy mathematically written as

potential energy = m g h,

Remember, our height h = x sin theta,

P = m g x sin theta

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