YOTA Tinkoff 11:1944 ← 587 33 B/s Quiz 1.3. The Differen... Tries remaining: 1 Question 1 Marked out of 5 Someone has measured the side of a cube. Its rea side length is of 5 cm. You should find the error in the computed volume of the cube if the measured side length is (i) 5.1 cm and (ii) 4.9 cm. Answer: Answer CHECK NEXT >
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- The first atomic bomb was detonated on July 16, 1945, at the Trinity test site about 200 mi south of Los Alamos. In 1947, the U.S. government declassified a film reel of the explosion. From this film reel, British physicist G.I. Taylor was able to determine the rate at which the radius of the fireball from the blast grew. Using dimensional analysis, he was then able to deduce the amount of energy released in the explosion, which was a closely guarded secret at the time. Because of this, Taylor did not publish his results until 1950. This problem challenges you to recreate this famous calculation. (a) Using keen physical insight developed from years of experience, Taylor decided the radius rof the fireball should depend only on time since the explosion, t, the density of the air, , and the energy of the initial explosion, E. Thus, he made the educated guess that r=kEabtcfor some dimensionless constant kand some unknown exponents a,b, and c. Given that [E]=ML2T-2 , determine the values of the exponents necessary to make this equation dimensionally consistent. (Hint: Notice the equation implies that k=rEabtcand that [k]=1 ). (b) By analyzing data from high-energy conventional explosives, Taylor found the formula he derived seemed to be valid as long as the constant khad the value 1.03. From the film reel, he was able to determine many values of rand the corresponding values of t. For example, he found that after 25.0 ms, the fireball had a radius of 130.0 m. Use these values, along with an average air density of 1.25kg/m3 , to calculate the initial energy release of the Trinity detonation in joules (J). (Hint: To get energy in joules, you need to make sure all the numbers you substitute in are expressed in terms of SI base units.) (c) The energy released in large explosions is often cited in units of “tons of TNT” (abbreviated “t TNT”), where 1 t TNT is about 4.2 GJ. Convert yow answer to (b) into kilotons of TNT (that is, kt TNT). Compare your answer with the quick-and-duty estimate of 10 kt TNT made by physicist Enrico Fermi shortly after witnessing the explosion from what was thought to be a safe distance. (Reportedly, Fermi made his estimate by dropping some shredded bits of paper right before the remnants of the shock wave hit him and looked to see how far they were carried by it.)A good-quality measuring tape can be off by 0.50cm over a distance of 20m . What is its percent uncertainty?A marathon runner completes a 42.188-km course in 2 h, 30 min, and 12s. There is an uncertainty of 25 m in the distance traveled and an uncertainty of 1 s in the elapsed time. (a) Calculate the percent uncertainty in the distance. (b) Calculate the percent uncertainty in the elapsed time. (C) What is the average speed in meters per second? (d) What is the uncertainty in the average speed?
- The length and width of a rectangular room are measured to be 3.9550.005m and 10500.005m . Calculate the area of the room and its uncertainty in square meteWhen nonmetric units we used in the United Kingdom, a unit of mass called the pound-mass (lbm) was used, where 1 lbm = 0.4539 kg. (a) If there is an uncertainty of 0.0001 kg in the pound-mass unit, what is its percent uncertainty? (b) Based on that percent uncertainty, what mass in pound-mass has an uncertainty of 1 kg when converted to kilograms?Please help me with the following and explain making sure the answer is really really correct 100%. I tried all kinds of calculations and it was wrong so I have no idea what's wrong. When I look at similar questions with different numbers it was 0. ... so i guess it has be something similar maybe but pleas make sure your work is correct pls pls ( wrong asnwer--> 1.31g and 1.35e-12)
- Needs Complete typed solution with complete explanation and 100 % accuracy. Otherwise skip if you can't give complete solution plz .. thank you.2.) A single reading taken with a meter stick for the length of a cylinder is 5.5 cm. What is the prsable percent error in the reading? 3.) The following readings were taken with a meter stick for the length of a cylinder: 5.5 cm, 5.3 cm, 5.4 cm, 5.5 cm and 5.6 cm. Calculate the standard deviation of the mean, the stand error and the probable percent error. 4.) How many significant figures should be given in reporting the length of the cylinder in question 3? 5.) If the radius of the cylinder in question 2 is 2.4 ± 0.2 cm and its mass is 32.6 ± 0.5 gm, what will be the probable percent error in the density of the cylinder? What will be the probable error in density? How many significant figures should be given in reporting the density? Conclusions?? 02 6) (figure3) 6a)Befer to Figure 3. Given a track length of 90 cm and a height difference of 18 cm, what is sin 6 02 01 Fig. 2 Z)(figure 2) plane (see Figure 2). Attach the diagram in question#8 below. What would be the acceleration given…How would you round 0.0189787745 to 4 significant figures?
- It says that it's not the appropriate number of sig figs.STARTING AMOUNT + X An atom of a particular element has a volume of 6.1 x 10 volume in cubic nanometers? ADD FACTOR *( ) 10" 6.1 10 6.1 x 10 10⁰ 6.1 x 10 10* (10%) pm ANDWER 6.1 10 (10") E (10) 10⁰ What is this RESET 2 (1) (10%)Measurement, Uncertainty, Significant FiguresProblem 1 (III): Calculate the volume of the cylinder shown below if the following dimensions are measured as:d=(3.92±0.005)cmandh=(5.45±0.01)cmAlso, determine both the absolute and percent uncertainty of the calculated volume.(For full credit, fill in the table shown on the top of the next page and show sample calculations.)quantity value Abs. unc. Rel. unc.rhV=πr^2 hProblem 2 (III) Repeat problem 1, but instead of the volume, find the total surface area for the measured cylinder. Find the absolute and percent uncertainty for the calculated surface area. (Again, for full credit, fill in the table below and show sample calculations).quantity value Abs. unc. Rel. unc.rhArea of top/bottom (πr^2)Surface area of curved side (2πrh)Total surface areaUnit conversionProblem 3 (II) How many nanoseconds are there in one “microcentury”?Problem 4 (II) An angstrom (symbol Å) is a unit of length, defined as 〖10〗^(-10) m, which is on the order of the…
