Sophia is planning on going down an 8-m water slide. her weight is 50 n. she knows that she has gravitational potential energy (gpe) at various points on the slide. at each point, her gpe can be found by using an equation.

gpe = weight × height above ground

explain the relationship between gpe and height as height increases. provide another example of this explanation. then, infer what happens to sophia’s kinetic energy if her gpe decreases.

The higher up an object is the greater its gravitational potential energy. The larger the distance something falls through the greater the amount of GPE the object loses as it falls. As most of this GPE gets changed into kinetic energy, the higher up the object starts from the faster it will be falling when it hits the ground.  So a change in gravitational potential energy depends on the height an object moves through.

Explanation: Lifting an apple up 1 metre is easier work than lifting an apple tree the same height. This is because a tree has more mass, so it needs to be given more gravitational potential energy to reach the same height.

earth's neighboring galaxy, the andromeda galaxy, is a distance of 2.54×107 light-years from earth. if the lifetime of a human is taken to be 70.0 years, a spaceship would need to achieve some minimum speed min to deliver a living human being to this galaxy.