. Suppose that the displacement of an object is related to time according to the expression: x(t) = B t3 . Using dimensional analysis, find the dimensionality of B.

The dimensionality of B is length per cubic time.

Explanation:

Units for displacement and time are length and time , respectively. Then, formula can be tested for dimensional analysis as follows:

Now, let is clear to determine its units:

The dimensionality of B is length per cubic time.

jupiter is the largest planet in our solar system, having a mass and radius that are respectively, 318 and 11.2 times that of earth. suppose that an object falls from rest near the surface of each planet and that the acceleration due to gravity remains constant during the fall. each object falls the same distance before striking the ground. determine the ratio of the time of fall on jupiter to that on earth.