while visitin a winery, you observe  wine shooting out of a hole at the bottom of a barrel.  The hole is .8 m below the top surface of wine.  Determine speed of wine leaving barrel's hole.  What would happen if there was a sealed lid on top of barrel? Why?

A small steel sphere falls with terminal velocity of 2.00 cm/s in a viscous fluid. If the radius of the steel sphere is doubled, what will the new terminal velocity of the sphere be?   Multiple Choice   1.00 cm/s   2.00 cm/s   4.00 cm/s   6.00 cm/s   8.00 cm/s

5. Question : Determine the volume of the solid body generated by revolving the shape shown below. The rotation is about to y axis an through 360°. y 40 mm 40 mm 40 mm 80 mm 80 mm

Water leaks from a hole in a water tank which is a 17.66 meters below the surface of the water which is 3.83 meters deep.The velocity of the water just leaving the hole is

A hippopotamus is napping under water with only the end of its snoot above the surface. It has a mass of 1100 kg and a volume of 1.0 m3. How much force in Newtons does the hippo exert on the ground? (fresh water, density 1g/cm3)? A. 10 N B. 100 N C. 1,000 N D. 1,100 N E. 10,000 N

A 16 cm diameter Styrofoam ball (p = 0.3 g/cm³) is released from the bottom of a tank filled with an unknown liquid. If the terminal speed of the ball is 1.66 m/s, what is the density of the liquid? The drag coefficient of the ball is 0.50. O 0.23 g/cm3 O 0.45 g/cm³ O0.88 g/cm3 O 0.18 g/cm3

2) Consider a particle of mass m initially at a height h in a fluid, The particle is released and allowed to fall through the fluid. The differential equation that governs its motion is: mä = -mg - y* a) solve for x(t) and v(t). b) Graph (accurately and clearly) the position and velocity as a function of time from t-0 to t=10 for the cases where g-1 and y/m 0.2 and 1. Use h-10. c) Derive a general formula for the limiting speed of falling.

3. A water tank filled to height h, has small hole at height z. Show that the stream of water emerging from this hole strikes the ground at the horizontal distance d = 2√z(h-2) from the base of the tank. What choice of z gives the largest horizontal distance? What is the largest horizontal distance? N ←

A person has placed a large, open-topped container 10m high. They fill the container with water to the top. With a sharp needle, they poke a tiny hole near the bottom of the container. The water sprays horizontally out of the hole, arcs through the air like a projectile, and splashes 15m away. How high above the hole is the top of the container?

3. On his walk home, Mr. Stark sees a wishing well. He takes out a 100 dollar bill, crumples it up into a ball and throws it upward over the well (at the level of the mouth of the well) and goes up 15 ft. 7 seconds after the bill leaves his hand, it reaches the bottom of the well which apparently didn't have any water after all. How deep is the well? What do you think he wanted to wish for?