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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).The sides of a small rectangular box are measured to be (1.90 ± 0.01) cm, (2.00 ± 0.02) cm, and (3.1 ± 0.1) cm long. Calculate its volume and uncertainty in cm³. a. Its volume is b. The uncertainty on its volume is cm³. cm³.B1
- The atmospheric pressure at the time the video was taken was recorded by the National Weather Service as 30.10 inches of mercury, with the alternative measure of a sea level equivalent 1018.8 bar. What was the atmospheric pressure in the laboratory (we are only a few km from the Weather Service's station) in SI units? The standard unit of pressure is the pascal. For atmospheric pressure it is conventional to use kPa, kilopascal. Why is there a difference between the measured pressure locally and the sea level equivalent, apart from the continued use of imperial units for barometric pressure.Which one of the following quantities has the dimensions of ML^2 /T^2 Select one: O a. mrv O b. mv O c. mv^2/r O d. mv^2What is the approximate mass of air in a living room 4.3 m x 3.4 m x 2.8 m? The density of air is 1.29 kg/m³. Express your answer to two significant figures and include the appropriate units. HẢ ? Value Units т
- Which of this is not true? A. All non zero digits are considered significant B. Leading zeroes are considered significant C. Captive zeroes are considered significant D. Trailing zeroes are insignificant if the number doesn't have a decimal point Is speed part of international metric system? Yes or no? Just yes or no What unit of measurement of temperature has an absolute value? Is it K? Yes or no? Just yes or no.You want to calculate the volume of air that occupies a standard volleyball. You measure the diameter of the balloon with a ruler graduated to the millimeter. The measurement is rather difficult to take, but you trust that the correct measurement is somewhere between 20.8 cm and 20.9 cm. Calculate the volume of air inside the balloon as well as the uncertainty of this value and give the answer in cm^3.A typical bathroom sink faucet releases about two gallons of water every minute. a) If it takes you 2.5 minutes to brush your teeth and you leave the water run for the entire time, how much water would be used? b) If you only run the water for 30 seconds, how much water would be used?