A cyclist is standing still at the top of the hill and begins to coast down the hill. The mass of the cyclist and bike is 64 kg. the cyclist gravitational potential energy is converted into kinetic energy with an efficiency of 48%. What is her speed when she reaches a point that is a vertical distance 12 m lower than the point at which she started? Show all work

A5 foot by 5 foot box culvert is buried 6 feet beneath the surface of the ground. a crosssection of this very long culvert (into and out of the page) is illustrated below. assume that the soil in which the culvert is buried has the following properties: jt = 120 pcf, w = 12%, ko = 0.50, ka = 0.33, and kp = 3.00. calculate the total horizontal force per unit length of culvert (fh) felt on one of the vertical faces of the culvert.