The floor area of the model in the image below is 500 square inches, and the floor area of the house is 1,280 square feet. If the model has a room with a side length of 5 inches, then what is the scale factor for the model to the actual floor?

Solve by using dimensional analysis. Calculate the weight in lbf of a 58 lbm object in a place where the acceleration of gravity is 32.09 ft/s2. Final answer in two decimal. Please show your complete solution and write clearly. Thank you.

47 PHYS 40.0 cm 20.0 cm 80.0 cm Figure shows uniform solid cylinder 80.0 cm long and 40.0 cm in diameter, with a small spherical portion removed from it. The diameter of this removed portion is 20.0 cm and its center is 20.0 cm from one end of the cylinder. Find the center of gravity of the remaining portion if the center of the sphere lies on the axis of the cylinder. Formula: Vsphere = (pid^3)/6; Vcylinder = (pid^2h)/4; (Vcyl - Vsphere) xcg = (Vcyl xcyl – Vsphere xsphere) %3D

Calculate the volume of pacific ocean (in mm3) in a micro-scale earth built at a one billionth scale. Assume the radius of the small scale earth is 5.3 mm, and the pacific ocean area is 24 % of the global surface and the average depth of the ocean is 3.79 mm.