Find the pressure of an air as a function of altitude h if the temperature of the air decreases linearly with h, ie., the temperature gradient is con stant and is equal to -a (dt/dh = -a). express also the pressure as a function of temperature under this condition. from the results obtained find the limiting equation for an isothermal atmosphere (a + 0). in your derivations assume that the air can reasonably be described by the ideal gas law

Very large accelerations can injure the body, especially if they last for a considerable length of time. one model used to gauge the likelihood of injury is the severity index ( ), defined as =/ . in the expression, is the duration of the accleration, but is not equal to the acceleration. rather, is a dimensionless constant that = the number of multiples of that the acceleration is equal to.in one set of studies of rear-end collisions, a person's velocity increases by 13.7 km/h with an acceleration of 36.0 m/s2 . let the + direction point in the direction the car is traveling. what is the severity index for the collision?

The bar of prob. 5/82 is repeated here. the ends of the 0.4-m bar remain in contact with their re- spective support surfaces. end b has a velocity of 0.5 m/s and an acceleration of 0.3 m/s2 in the di- rections shown. determine the angular accelera- tion of the bar and the acceleration of end a.

Describe how the motion of a spring being pushed forward and backward is similar to the motion of air particles in a sound wave.