College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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- In the diagram below there is a thick-walled cylindrical tube. Its height is H = 5.0 m, its inner radius is R1 = 1.0 m, its outer radius is R2 = 3.0 m and its mass is M = 10.0 kg. The volume density is proportional to the square of the height h measured from the top of the cylinder: p x h?. R2 a) Proof that the proportionality constant k (p = kh?) is k = , ms 100m b) Determine the position of the center of mass of this object. c) Determine I, the moment of inertia of the cylindrical tube around the axle going through the center of the top (as shown on diagram). You can use lying =mr? (the rotational inertia of a ring of radius r and mass m rotating around an axis parallel to it, through its center).arrow_forwardYou purchased 5.2kg of apples from a store. You noticed that they used the smallest division of 4.2 g to weight them. What is the relative error of this weight measurement as a percentage. You want to calculate the area of your dorm which is in a rectangular shape. You measure the length and the width of the room as L= 4.8+(-.01) m, W= 4.4+(-.01) m. What is the absolute error in the area in m^2 units?arrow_forwardAt 9:13 A.M., a sports car is traveling 30 miles per hour. Two minutes later, the car is traveling 90 miles per hour. The mean value theorem guarantees that at some time during this two-minute interval, the car's acceleration is exactly A miles per hour squared. Compute the value of A. A = mi/h² Need Help? Read Itarrow_forward
- The radius of a sphere is known to be r = 6.27 ± 0.06 cm. The volume of a sphere is given by (4/3)?r3. Find the absolute uncertainty and the percent uncertainty in the volume of the sphere. absolute uncertainty cm3 percent uncertaintyarrow_forwardAn Olympic-size swimming pool is 50 m long, 25 m wide, and 2 m deep. In terms of volume, this pool, when full, holds how many kilogallons of water? Use the following equivalences: 1 gallon = 3.8 L 1 kilogallon = 103 gallon 1 L = 103 mL for water: 1 mL = 1 cm3 1 m = 100 cm [Numerical Problem: Just write the numerical answer without units. Express your answer to 2 significant figures in standard notation]arrow_forwardThis was wrong. Can you solve this again with these numbers? What is the root mean square velocity, vrms, for Hydrogen molecules (H2) at 20oC? Hint: How many amu does an H2 molecule contain. 1 amu = 1.67 x 10-27 kg Boltzman's Constant, k = 1.38 x 10-23 J/K Give your answer in m/s to 4 significant figures (NO DECIMALS)arrow_forward
- Still think that unit conversion isn't important? Here is a widely publicized, true story about how failing to convert units resulted in a huge loss. In 1998, the Mars Climate Orbiter probe crashed into the surface of Mars, instead of entering orbit. The resulting inguiry revealed that NASA navigators had been making minor course corrections in SI units, whereas the software written by the probe's makers implicitly used British units. In the United States, most scientists use Sl units, whereas most engineers use the British, or Imperial, system of units. (Interestingly, British units are not used in Britain.) For these two groups to be able to communicate to one another, unit conversions are necessary. The unit of force in the SI system is the newton (N), which is defined in terms of basic Sl units as 1 N=1 kg · m/s?. The unit of force in the British system is the pound (lb), which is defined in terms of the slug (British unit of mass), foot (ft), and second (s) as 1 lb =1 slug ·…arrow_forwardThe laboratory balances have a precision of 0.01g. If you are obtaining the mass of an approximately 5 gram sample, which of the following is a proper way to record this measurement in your laboratory notebook and on your report sheets. 4.92 g 4.92 4.925 g 5.00 garrow_forwardInstructions: Answer must be in standard form scientific notation with SI units that do not have prefixes except for kg. Provide the answer with the correct amount of significant figures. Thank you I greatly appreciate itarrow_forward
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