Areducing elbow in a horizontal pipe is used to deflect water flow by an angle θ = 45° from the flow direction while accelerating it. the elbow discharges water into the atmosphere. the cross-sectional area of the elbow is 150 cm2 at the inlet and 25 cm2 at the exit. the elevation difference between the centers of the exit and the inlet is 40 cm. the mass of the elbow and the water in it is 50 kg. determine the anchoring force needed to hold the elbow in place. take the momentum-flux correction factor to be 1.03 at both the inlet and the outlet. the density of water is 1000 kg/m3, and the flow rate of water is 30 kg/s.

During spring semester at mit, residents of the parallel buildings of the east campus dorms battle one another with large catapults that are made with surgical hose mounted on a window frame. a balloon filled with dyed water is placed in a pouch attached to the hose, which is then stretched through the width of the room. assume that the stretching of the hose obeys hooke's law with a spring constant of 89.0 n/m. if the hose is stretched by 5.80 m and then released, how much work does the force from the hose do on the balloon in the pouch by the time the hose reaches its relaxed length? unitst 3 number-1497 the tolerance is +/-5% open show work click if you would like to show work for this question:

Astone is thrown with a speed v0 and returns to earth, as the drawing shows. ignore friction and air resistance, and consider the initial and final locations of the stone. which one of the following correctly describes the change δpe in the gravitational potential energy and the change δke in the kinetic energy of the stone as it moves from its initial to its final location? options a.δpe = 0 j and δke = 0 j b.δpe is positive and δke is negative c.δpe = 0 j and δke is positive d.δpe is negative and δke is positive e.δpe = 0 j and δke is negative

The dominant wavelength of energy emitted by the sun is