11). Determine the acceleration due to gravity if a 6kg book was on top of a 4m shelf and held the gravitational potential energy of 235.2J? *

g = 9.8 [m/s²]

Explanation:

To solve this problem we must remember that the potential energy is defined as the product of mass by gravitational acceleration by the height or elevation with respect to a reference level.

Ep = m*g*h

where:

Ep = potential energy = 235.2 [J]

m = mass of the book = 6 [kg]

g = gravity acceleration [m/s²]

h = elevation = 4 [m]

Now replacing these values:

235.2 = 6*g*4

g = 235.2/(24)

g = 9.8 [m/s²]