Water at 15°c (rho = 999.1 kg/m3 and μ = 1.138 × 10−3 kg/m·s) is flowing steadily in a 29-m-long and 6-cm-diameter horizontal pipe made of stainless steel at a rate of 10 l/s. determine the pressure drop, the head loss, and the pumping power requirement to overcome this pressure drop. the roughness of stainless steel is 0.002 mm.

After the near spacecraft passed mathilde, on several occasions rocket propellant was expelled to adjust the spacecraft's momentum in order to follow a path that would approach the asteroid eros, the final destination for the mission. after getting close to eros, further small adjustments made the momentum just right to give a circular orbit of radius 45 km (45 × 10^3 m) around the asteroid. so much propellant had been used that the final mass of the spacecraft while in circular orbit around eros was only 545 kg. the spacecraft took 1.04 days to make one complete circular orbit around eros. calculate what the mass of eros must be.

If the ama of the inclined plane below is 2, calculate the ima and efficiency. ima = efficiency =

If a simple machine reduces the strength of a force, what must be increased?