Two objects, a and b, are held one meter above the horizontal ground. the mass of b is twice as great as the mass of

a. if pe is the gravitational potential energy of a relative to the ground, then the gravitational potential energy of b relative to the ground is

Formula for potential energy is:

pe = m * g * h

Where:

m = mass of an object

g = gravitational acceleration

h = height at which object is placed

From this equation we can make conclusion that increasing mass also increases potential energy. Object b has double the mass so it has double the potential energy.

Object a:

pe = m * 9.81 * 1

pe = 9.81 J

Object b:

pe = 2m * 9.81 * 1

pe = 19.62 J