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TV broadcast antennas are the tallest artificial structure on Earth. In
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- You are part of a team in an engineering class that is working on a scale model of a new design for a life vest. You have been asked to find the mass of a piece of foam that will be used for flotation. Because the piece is too bulky to fit on your balance, you break it into two parts. You measure the mass of the first part as 128.3 0.3 g and the second part as 77.0 0.3 g. a. What are the maximum and minimum values for the total mass you might reasonably report? b. What is the best estimate for the total mass of the foam? Hint: Propagation of uncertainty is described in Appendix A.arrow_forwardA glass ball of radius 1.65 cm sits at the bottom of a container of milk that has a density of 1.03 g/cm3. The normal force on the ball from the container's lower surface has magnitude 8.03 × 10-2 N. What is the mass of the ball?arrow_forwardOSU has been given a large model of the solar system which consists of hollow Styrofoam spheres of different sizes representing the Sun and planets. The planets are all connected to the center of the sun by means of steel rods of varying lengths and at varying angles relative to the x-axis as shown above. The steel rods are all 0.5 cm in diameter and are made of steel having a density of 7.88 g/cm3. We’d like to suspend the model from it’s center of mass, but it doesn’t look like the center of mass coincides with the position of the Sun. Find the center of mass of the model (direction and angle) relative to the Sun in the center of the model. The Styrofoam spheres are so much lighter in comparison to the rods, that their mass can be neglected. Hint: calculate the center of mass for the x and y dimensions separately, then combine them to get the final answerarrow_forward
- A uniform silver sphere and a uniform gold sphere have the same mass. What is the ratio of the radius of the silver sphere to the radius of the gold sphere?arrow_forwardIn about 1657, Otto von Guericke, inventor of the air pump, evacuated a sphere made of two brass hemispheres (Fig. P9.89). Two teams of eight horses each could pull the hemispheres apart only on some trials and then “with greatest difficulty,” with the resulting sound likened to a cannon firing. Find the force F required to pull the thin-walled evacuated hemispheres apart in terms of R, the radius of the hemispheres, P the pressure inside the hemispheres, and atmospheric pressure P0.arrow_forwardIf a bubble in sparkling water accelerates upward at the rate of 0.225 m/s2 and has a radius of 0.500 mm, what is its mass? Assume that the drag force on the bubble is negligible.arrow_forward
- A spherical balloon filled with nitrogen is attached to a 2.5-m-long, 0.055-kg string. The balloonhas a radius of 0.40 m. When released, it lifts a length h of the string when it comes to rest, as inthe above figure. Find h. Assume the mass of the balloon material is 0.251 kg.arrow_forwardA lost shipping container is found resting on the ocean floor and completely submerged. The container is 6.0 m long, 2.3 m wide, and 2.3 m high. Salvage experts attach a spherical balloon to the top of the container and inflate it with air pumped down from the surface. When the balloon's radius is 1.6 m, the shipping container just begins to rise towards the surface. What is the mass of the container? Ignore the mass of the balloon and the air within it. Do not neglect the buoyant force exerted on the shipping container by the water. The density of seawater is 1025 kg/m3.arrow_forwardA lost shipping container is found resting on the ocean floor and completely submerged. The container is 6.3 m long, 2.9 m wide, and 2.9 m high. Salvage experts attach a spherical balloon to the top of the container and inflate it with air pumped down from the surface. When the balloon's radius is 1.6 m, the shipping container just begins to rise towards the surface. What is the mass of the container? Ignore the mass of the balloon and the air within it. Do not neglect the buoyant force exerted on the shipping container by the water. The density of seawater is 1025 kg/m³. Number i Unitsarrow_forward
- Problem 5: A painter (of mass 71 kg) needs to reach out from a scaffolding to paint the side of a building, so he lays a plank across two bars of the scaffolding, and puts a heavy bucket of mass 27 kg directly over one of the bars (see figure). You can assume the plank is massless, and is long enough to reach to the other building. L d If the bars are separated by a distance 1.5 m, how far, d, from the bar on the the right can the painter walk before the plank starts to fall? d= m 9 HOME sin() cos( cotan() asin() tan() П ( ) 7 8 acos() E ↑AAL 4 5 7* 1 2 3 6 atan() acotan() sinh()arrow_forwardProblem 5: A painter (of mass 71 kg) needs to reach out from a scaffolding to paint the side of a building, so he lays a plank across two bars of the scaffolding, and puts a heavy bucket of mass 27 kg directly over one of the bars (see figure). You can assume the plank is massless, and is long enough to reach to the other building. L d If the bars are separated by a distance 1.5 m, how far, d, from the bar on the the right can the painter walk before the plank starts to fall? d= m 9 HOME sin() cos() tan() J ( ) 7 8 cotan() asin() acos() E 1시 신 4 atan() acotan() sinh() 5 6 7 * 1 2 3arrow_forwardA 80 kg student who can’t swim sinks to the bottom of the Olympia swimming pool after slipping. His total volume at the time of drowning is 18.1 liters. A rescuer who notices him decides to use a weightless rope to pull him out of the water from the bottom. Use Archimedes’s principle to calculate how much minimum tension (in Newtons) is required in the rope to lift the student without accelerating him in the process of uplift out of the water.arrow_forward
- Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage LearningPhysics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning