Question

Objects 1 and 2 attract each other with a gravitational force of 72.0 units. If the mass of Object 1 is one-fourth the original value AND the mass of object 2 is tripled AND the distance separating Objects 1 and 2 is halved, then the nevw gravitational force will be units. Tap in the field to enter the answer OR tap on the icon to use our built-in Number Pac.

Answer 1

Let F be the gravitational force between object 1 and object 2 of mass M_1 and M_2 separated by distance R F = GM_1 M_2/R^2 = 72.0 Units if the new mass of object 1 is M_1 = 1/4 M_1 and new mass of object 2 is M_2� = 3M_2 and the new separation = R� = R/2 and the new gravitational force = F� F� = GM�_1 m�_2/R�^2 = G(M_1/4) (3M_2)/(R^2/4) = 3 GM_1m_2/R^2 = 3F = 3 times 72.0 = 216.0 Units