Suppose the horizontal velocity of the wind against a sail is 6.3 m/s parallel to its front surface and 3.5 m/s along its back surface. -Calculate the magnitude of the force on a square meter of sail in N, given that the density of air is 1.29 kg/m3.

#32

A large spherical air balloon is filled with helium. If the balloon is to support (meaning produce a net acceleration of 0) a total load of 300 kg, including its own mass, calculate the minimum radius of the balloon. Assume values of the density of air and helium to be 1.29 kg/m and 0.18 kg/m respectively 4.8 m 3.6 m O 3.8 m O 3.1 m O 4.5 m

A pitot tube is depicted in the figure. V, = 0 -V 2 U כו (b) Calculate the velocity of the moving air if a mercury manometer's height is 0.195 m in m/s. Assume the density of mercury is 13.6 × 103 kg/m³ and the density of air is 1.29 kg/m².

For an airplane in flight, the average speed of the air relative to the plane is 320 m/s below the wings and 352 m/s above the wings (see the figure below). The bottom of each wing has a surface area of 31.5 m2. Calculate the lift, which is the net upward force of air on the plane.

A fisherman and his buddy climb into a flat-bottomed aluminum fishing boat has a mass of 60 kg and an area of 4.0 m2. When it is launched into the water (density 1,000 kg/m3), the bottom of the boat sinks 0.015m below the surface of the water. If they, along with their gear, have a mass of 300 kg, how much farther (in m) does the boat sink into the water?

Drag Force: A spherical particle of radius 5.9 cm and a mass of 226 g is moving through a fluid of the same density. (This means you can ignore the effects of gravity.) The position of the particle is given by x (t) 1 In (1+ bvot), where x is its position and t is the elapsed time. The initial speed vo is 27.8 m/s, and the constant b is 0.3 m-1. (b) What is the velocity of the particle after 3.3 seconds? (c) What is the acceleration of the particle after 3.3 seconds?

For an airplane in flight, the average speed of the air relative to the plane is 283 m/s below the wings and 311 m/s above the wings (see the figure below). The bottom of each wing has a surface area of 30.5 m². Calculate the lift, which is the net upward force of air on the plane.

A garden hose has an inner radius of 1 cm, is connected to a spray nozzle (radius: 0.4 cm). If this hose is connected to a house capable of  delivering 9 L/s, what is the velocity of the water in the hose?

An airplane has wings, each with area 3.85 m2, designed so that air flows over the top of the wing at 248 m/s and underneath the wing at 226 m/s.   Approximately what size wings would an aircraft need on Mars if its engine generates the same differences in speed as in the "Practice It" and the total mass of the craft is 300 kg? The density of air on the surface of Mars is approximately one percent Earth's density at sea level, and the acceleration of gravity on the surface of Mars is about 3.8 m/s2. ______________m2