In a bicycle race, a bicyclist coasts down a hill with a 7 % grade to save energy. The mass of the bicycle and rider is 80 kg, the projected area is 0.2 m2, and the drag coefficient is 0.9. Air temperature is 17 ºC. Neglecting rolling friction and bearing friction, determine the maximum speed of the bike if there is a head wind of 15 km/h.

Afoot bridge is made as a simple deck, 4 m long, with a cross section 2 m (wide) and 20 cm thick, and made of wood. the deck is supported at the two ends. the maximum load allowable on the bridge is 10 tons, provided it is uniformly distributed on the deck. to sense this load, a strain gauge is placed at the center of the bridge and its resistance is monitored. if the sensor has a nominal resistance of 350 s2 and a gauge factor of 3.6, what is the reading of the strain gauge at maximum load? the modulus of elasticity for the wood used in the construction is 10 gpa.