Question 8.1 = An empty 1000-millimetre circularly cylindrical glass beaker has the mass m 0.650 kg. The radius is r = 52.5 mm and the height is h = 145 mm. Neglect the thickness of the glass wall. The center of mass of the empty beaker is h = 60 mm above its base. To what depth y should the beaker be filled with water, such that the center of mass of the water-beaker system is the lowest? 2r y

Question 8.1 = An empty 1000-millimetre circularly cylindrical glass beaker has the mass m 0.650 kg. The radius is r = 52.5 mm and the height is h = 145 mm. Neglect the thickness of the glass wall. The center of mass of the empty beaker is h = 60 mm above its base. To what depth y should the beaker be filled with water, such that the center of mass of the water-beaker system is the lowest? 2r y

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

A fuel pump sends gasoline from a car's fuel tank to the engine at a rate of 7.06x10-2 kg/s. The density of the gasoline is 730 kg/m3, and the radius of the fuel line is 2.20x10-3 m. What is the speed at which gasoline moves through the fuel line?
Assume a certain liquid, with density 1 300 kg/m3, exerts no friction force on spherical objects. A ball of mass 2.30 kg and radius 8.90 cm is dropped from rest into a deep tank of this liquid from a height of 2.10 m above the surface. (a) Find the speed at which the ball enters the liquid. m/s (b) Evaluate the magnitudes of the two forces that are exerted on the ball as it moves through the liquid. gravitational force buoyant force N (c) Explain why the ball moves down only a limited distance into the liquid. This answer has not been graded yet. Calculate this distance. liquid? (d) With what speed does the ball pop up out of m/s (e) How does the time interval Atun during which the ball moves from the surface down to its lowest point, compare with the time interval At., for the return trip between the same two points? O The down interval is greater. O The up interval is greater. O The two intervals are equal. (f) Now modify the model to suppose the liquid exerts a small friction force…
Locate the mass center of the homogeneous solid body whose volume is determined by revolving the shaded area through 360° about the z-axis. r | mm Answer: Z = 330 mm r= -=kz³ 250 mm
Water is discharged from the hose with a speed of 42ft/sec. Determine the two possible angles the fireman can hold the hose so that the water strikes the building at B. Take S=20ft. VA = 40 ft/s 0 8 ft 4 ft
A bucket that has a mass of 30 kg when filled with sand needs to be lifted to the top of a 25 meter tall building. You have a rope that has a mass of 0.1 kg/m that must be secured to the bucket. It takes 1 meter of rope to secure the bucket. Once the bucket reaches the top of the building it only has mass 24 kg because there was a hole in the bottom and sand was leaking out at a constant rate while it was being lifted to the top of the building.Find the work done lifting the bucket (sand and rope) to the top of the building.
Some species of jellyfish use jet propulsion to get around, a much gentler form of jet propulsion than squid use. A small jellyfish takes water into its bell; the total mass of jellyfish and water is 3.2 g. The jellyfish then rapidly ejects 1.3 g of water, achieving a speed of 0.070 m/s. What is the speed of the ejected water?
Jason takes off across level water on his jet-powered skis. The combined mass of Jason and his skis is 75 kg (the mass of the fuel is negligible). The skis produce a forward thrust of 200 N and have a coefficient of kinetic friction with water of 0.10. Unfortunately, the skis run out of fuel after only 90 s. What is Jason's top sneed?
In a research facility, a person lies on a horizontal platform which floats on a film of air. When the person's heart beats, it pushes a mass m of blood into the aorta with speed v, and the body and platform move in the opposite direction with speed V. Assume that the blood's speed is 56.5 cm/s. The mass of the person + platform is 54.0 kg. The platform moves 5.95 ✕ 10−5 m in 0.160 s after one heartbeat. Calculate the mass (in g) of blood that leaves the heart. Assume that the mass of blood is negligible compared with the total mass of the person, and the person + platform is initially at rest. (Also assume that the changes in velocity are instantaneous.)
Four cables are used to tether a hot-air balloon as shown. The four cables are attached to a hook mounted to the bottom of the basket of the balloon at point A, and their other ends are staked to the ground. The hook is located in the geometric center of the basket. The balloon and the air inside it have a combined mass of 3000 kg. You want to determine the resultant of the tension forces in the four cables acting on the hook at point A. It is known that the magnitudes of the tension in the cables are as follows: TAB = 206 N; TAC = 354 N; TAD = 249 N; and TAE = 485 N. Express the resultant of all four forces on the hook at point A by the cables in rectangular component form.
A helium-filled balloon, whose envelope has a mass of 0.25 kg, is tied to a 2.0-m-long, 0.050-kg string. The balloon is spherical with a radius of 0.40 m. When released, it lifts a length h of the string and then remains in equilibrium. Hint: Only that part of the string above the floor contributes to the load being supported by the balloon. a. Draw a free-body diagram for string-balloon systems, account for every force. b. Write an expression for the net force on this system. c. Determine the value of h in terms of variables.
1. A cosmonaut (total mass is 150 kg, including himself, his space suit, oxygen tanks, and a toolbox) accidentally floats away from the Mir space station at 0.667m/s without a tether. What minimum speed and in what direction does he need to throw his 10 kg toolbox in order to stop floating away from Mir? Please make sure you draw a clear diagram, identify initial and final states of the system, draw a bar chart consistent with the situation, and explain your reasoning.