Acart at the top of a 300m hill has a mass of 40kg. what is the carts gravitational potential energy?

The cart gravitational potential energy is 117,600 Joule

Step-by-step explanation:

First lets define what a gravitational potential energy is.

A gravitational potential energy is the energy stored in an object that rise above a certain height surface.

The formula for calculating the gravitational potential energy(P.E) is m×g×h, where m is the mass of the object measured in kilograms(kg), g is the acceleration due to gravity measured in *(m/s²). It is a constant and always equal to 9.8 m/s²   on the earth surface and h is the height of the object above the surface in (m).

The gravitational potential energy is measured in Joules(J).

From the question, mass(m) is given as 40 kg  and the height(h) is 300m

and g=9.8m/s²

Gravitational Potential Energy(P.E) = m×g×h

                                                          =40 ×9.8 ×300

                                                          =117,600 Joules.

Therefore the cart gravitational potential energy is 117,600 Joules.

step-by-step explanation:

let's cover over the formula of the vertex:

y = a(x – h)^2 + k

in this formula, (h,k) are the vertex, always remember that the positive or negative value of the vertex is based on the sign it has.

for example, if the vertex is -3,-6 then both the x and y value would have the positive sign attached to it and if it were a positive x and y value, then a negative sign would be attached to it.

with that being said, for our problem the x value is a positive one so we are looking for a number with a negative sign next to it, in this case the first and second choice.

however, for the first answer choice it isn't quite part of the formula so we know that the answer choice correctly displays the x value.

to confirm, we can see if the -1 fits correctly with the second answer choice, and as mentioned above a negative number will have a positive sign attached to it. so, for our problem we can see that -1 has been changed to +1, so we can confirm that the second answer choice is correct.

hence, our final answer is y=(x - 1)^2 + 1