Given the figure, determine the Vernier caliper measurement. Express your answer in centimeter. The red mark indicates where the main scale and Vernier scale coincides. 1/128in 5, 80 0.05m oi2 3 4 5 6 7 8 9 1o O 3.9225 O 3.9045 O 3.645 O 3.945
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- Implications of uncertainty(a) What is the uncertainty of our triple beam balance?i. ±0.1 gii. ±0.02 g (20% of least count) - correct answeriii. ±1 giv. My measurements are perfect, I don’t have uncertainties (b) Based on your previous answer, which measurement(s) have the proper significantfigures for our triple beam balance?i. 17.32 gii. 1.9 giii. 0.67 giv. 123.45 gv. 0.12345 kgvi. 111.1 gvii. 10.00 g (c) Explain how the uncertainty associated with the measurement apparatus determined the accuracy (appropriate number of decimal places) that you should include in the measurementThe arc length formula says the length sof arc subtended by angle in a circle of radius r is given by the equation s=r . What are the dimensions of (a) s, (b) r , and (c) ?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.)
- p. OL V. l01. V 14..01. 18.01. Please.calculate.the. monent of mertia values. for each figures according to. the defined rotatn axises Solid sphere R Imo me 5 Le2 FEBIT-MAT12A/MAT126A/WIS22/ For questions 1- 3, suppose that in cr? we have that the error in measuring r and L are ±2% and ±5% respectively. 1. The formula for the error in the calculated value of s is 2. Consider the statements (decide upon the correctness of them): dr dL ±5% dt (i) Ar =±2%r; AL=±5%L; (ii) =+2%; dt 3. Consider the statements (decide upon the correctness of them): (i) The minimum error in s is 6% (ii) The maximum error in s is 14% For questions 4 - 7 consider the function z=9-2x+4y – x? – 4y?Growth of yeast cells In a controlled laboratory experiment, yeast cells are grown in an automated cell culture system that counts the number P of cells present at hourly intervals. The num- ber after t hours is shown in the accompanying figure. 250 200 150 100 50 0 1 2 3 4 5 6 7 a. Explain what is meant by the derivative P'(5). What are its units? b. Which is larger, P'(2) or P'(3)? Give a reason for your answer. c. The quadratic curve capturing the trend of the data points (see Section 1.4) is given by P(t) = 6.10r2 – 9.28t + 16.43. Find the instantaneous rate of growth when t = 5 hours.
- A. Unit Conversion. Show your complete solution. Write your answers up to 3 significant figures. Recall: 1 Gy = 100 rad, 1 Sv = 100 rem 1. 3.5 μGy to mrad 2. 5.0 mrad/h to mGy/h 3. 45.0 mrem to μSvProblems A12 1-1. (a) List the SI units of length, mass, time, electric cur- rent, temperature, and amount of substance. Write the abbre- viation for each. Jund juod (b) Write the units and symbols for frequency, force, pres- and power. sure, energy, 1-2. Write the name and number represented by each abbre- viation. For example, for kW you should write kW = kilowatt = 10³ watts. (a) mW (b) pm (c) ΚΩ (d) μC (e) TJ (f) ns (g) fg (h) dpa 163. Express the following quantities with abbreviations for units and prefixes from Tables 1-1 through 1-3: (a) 10-¹3 joules0 + (1)0,HE (b) 4.317 28 x 10-8 coulombs (d) 10-10 meters (e) 2.1 x 10¹3 watts (f) 48.3 x 10-20 moles (c) 2.997 9 x 10¹4 hertz bns M2.01 1-4. Table 1-4 states that 1 horsepower = 745.700 watts. Consider a 100.0-horsepower engine. Express its power output in (a) watts; (b) joules per second; (c) calories per second; (d) calories per hour. 1-5 (a) Refer to Table 1-4 and calculate how many meters are in 1 inch. How many inches are in 1…I need assignment helper for physics , I can 100 + assignment per day with daily and weekly payment . It you are interested whatsapp me 7524003562. Please don't answer this directly here because I need more experts only whatsapp me
- e2f_h. g= 4 e =7.83±0.04 f =0.204±0.007. h=14.14+0.05 and i=3.99±0.03- Given the equation where What is the absolute uncertainty in g? Select one: 1.35+0.02 a. O b. 1.4±0.1 Oc. 1.4+0.2 O d. 1.35±0.01This 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)Po = 25 uc/m³ is distributed uniformly through a certain region. If V=50 at y = 2 and V= 90 at y = 5, &, = 2. a- Give the solution and calculate V, E. b- Draw V, Ē, IE with respect to y-axis. c- Now if p₂ = 0, give the solution and calculate V, Ē.