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A teacher places four books of different masses in a bookcase. The diagram shows the placement of the four books

The teacher states that the books are arranged in the bookcase for the lowest overall potential energy when only one book is on each shelf.

a. Use inequality symbols (<, >) to identify the relationship among the masses of all four books.

b. Describe how the arrangement of the books can be changed for the greatest overall potential energy when only one book is on each shelf.

A teacher places four books of different masses in a bookcase The diagram shows the placement of the four books The teacher states that the books are arranged i class=

Respuesta :

a.  P.E(Y)<  P.E(W)<  P.E(Z)<  P.E(X)

mass m(Y)< m(W)<m(Z)<m(X)

b. The books arranged with book X in the bottom, book Z in 2nd position, book W in 3rd and book Y on the top.

What is gravitational potential energy?

If an object is lifted, work is done against gravitational force. The object gains energy.

The equation for calculating gravitational potential energy is

GPE =mgh

where, GPE is the gravitational potential energy, m is the mass, h is the change in height and g is the acceleration due to gravity.

a) According to the heights of books, P.E(Y)<  P.E(W)<  P.E(Z)<  P.E(X)

when arranged for lowest potential energy, book with the lowest mass will be placed in the lower position. Thus, relationship among masses, m(Y)< m(W)<m(Z)<m(X)

b)  The arrangement of the books can be changed for the greatest overall potential energy when only one book is on each shelf. The books arranged with book X in the bottom, book Z in 2nd position, book W in 3rd and book Y on the top.

Learn more about gravitational potential energy

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