A uniform solid disk (=1/2^2) and a hoop (=^2) with different masses and radii are placed at the top of an inclined plane. They are both released from rest and then roll without slipping. What is the ratio of the speed of the hoop to the speed of the disk at the bottom of the inclined plane?

Atrain departs from its station at a constant acceleration of 5 m/s. what is the speed of the train at the end of 20s?

Use the profile illustrated for problem (1). assume that the layer of silty sand fill (sm) is placed over the entire site. estimate the thickness of the fill (h - in feet) that will cause the effective vertical stress at the center of the clay layer to increase by 517.5 pounds per square foot.

Acar traveling at a constant speed of 22.0 m/s passes a trooper hidden behind a billboard. one second after the speeding car passes the billboard, the trooper sets off in chase with a constant acceleration of 3.50 m/s2. how long does it take the trooper to overtake the speeding car? solve this problem by a graphical method. on the same graph, plot position versus time for the car and the trooper.