You and a friend go outside on a cold winter’s morning and see that the front tire of your bike looks flat. You think that your tire has a hole. Your friend thinks that it might be the cold temperature. Describe how you will decide who it correct and explain this will work

The tympanic membrane, or eardrum, is a structure that separates the external and middle parts of the ear (see the figure). It is sensitive to and vibrates in response to changes in air pressure and transmits these vibrations to other structures in the inner ear that lead to the sensation of hearing. Under normal conditions, the pressure on the inside and outside of the tympanic membrane are kept approximately equal. The auditory tube, also called the Eustachian tube, is responsible for this equilibration. However, rapid changes in external pressure can cause large pressure differentials on the tympanic membrane, causing it to rupture. A differential force across the eardrum membrane as little as 5.0 N can cause a rupture. (a) If the cross-sectional area of the membrane is 1.0 cm², what is the maximum tolerable pressure difference between the external and inner ear? (b) Based on your answer in part (a), to what maximum depth could a person dive in fresh water before rupturing an…

A large SUV with mass m = 2.67 x 10^3 kg is at rest as shown in the figure. Both pistons have a circular cross-sectional area. Small piston has RS radius = 5.75 cm and the large piston has a radius RL = 20.5 cm. Determine the magnitude of the force exerted on the small piston.

In about 1657, Otto von Guericke, inventor of the air pump, evacuated a sphere made of two brass hemispheres (Fig. P9.89). Two teams of eight horses each could pull the hemispheres apart only on some trials and then “with greatest difficulty,” with the resulting sound likened to a cannon firing. Find the force F required to pull the thin-walled evacuated hemispheres apart in terms of R, the radius of the hemispheres, P the pressure inside the hemispheres, and atmospheric pressure P0.