A ball of mass 0.700 kg is carefully balanced on a shelf that is 2.60 m above the ground. What is its gravitational potential energy

17.84 joules

Explanation:

A ball has a mass 0.700 kg

The height of the shelf is 2.60 m

g= 9.8

Therefore the gravitational potential energy can be calculated as follows

mgh

= 0.700 × 2.60 × 9.8

= 17.84 joules

Hence the gravitational potential energy is 17.84 joules

molecules are free to separate from each other and will take on the shape of the container. molecules move completely at random and high speeds. they vibrate in a fixed position and do not move around much. molecules expand to the edge of their container.

we have been given a quadratic function and we need to restrict the domain such that it becomes a one to one function.

we know that vertex of this quadratic function occurs at (5,2).

further, we know that range of this function is .

if we restrict the domain of this function to either or , it will become one to one function.

let us know find its inverse.

upon interchanging x and y, we get:

let us now solve this function for y.

hence, the inverse function would be if we restrict the domain of original function to and the inverse function would be if we restrict the domain to .