Suppose that ▾ Part A Determine the magnitude of the resultant force. Express your answer to three significant figures and include the appropriate units. Figure -3 m- HA FR Value Units Submit Previous Answers Request Answer < 1 of 1 > X Incorrect; Try Again; 5 attempts remaining W=250kN/m W Part B Specify where the resultant force acts on the beam measured from A Express your answer to three significant figures and include the appropriate units. HA d= Value 0 ? Units
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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.)For the three-dimensional vectors in the following figure, find (a) GH , (b) GH , and (c) GH .The 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) ?
- Please answer the following question(s): 1. Calculate the angle a person needs to lean from the vertical when 1. walking a 17 m (radius) circular track at 22 mins per mile, and Enter to 2 significant figures Angle with respect to the vertical = = 2. running at 4 min per mile. Enter to 2 significant figures Angle with respect to the vertical = Use 1 mile = 1609.4 m ✓ O OIn (Eigure 1), a = 4 in, b=9 in, c= 7 in. Figure 1 of 1 Part A Locate the centroid of the area. Express your answer to three significant figures and include the appropriate units. Value Submit HÅ Provide Feedback Request Answer Units ?You want to throw a ball a distance of 2l over a wall of height h as is shown in the figure below. Derive an expression for the required angle θ in terms of h and l. Use 'asin' for inverse sin, 'acos' for inverse cos and 'atan' for inverse tan.
- Please answer the following question(s): 1. Calculate a: 8 cm a = a 5 cm Note: the angle should be in degrees. If you use inverse trigonometric functions in the Mathtype tool the angle returned is in radians. O SENSE MAKING What are the maximum and minimum values a can have? Do your calculations support that?y x2 = 6 – 2y For the shaded region shown, determine the following: a.MOI about they-axis b.MOI aboutx=-1 Answers: (a) Iy= 50.4 units (b) Ix=-1=122.4 units“ y = -x – 1please do it in guss method no other way Solving problems in Physics, we must always use GUESS method.Guess stands for: Guess: G Here you write down what is given in the questionUnknown: U Here you list what you have to calculate, to solve for.Equations: E here you list all the formulas you need to use to solve the problemSubstitution: S This first letter S in the word, you will just substitute what is given in theformula. You do not calculate anything. The calculations will occur at the second S: Solve. Whatis very important here is to carry with you the units of measure in the formula. Not only thenumbers. This is very important, once again.Solve: S The last step, second S, you will solve what you plugged in the first S for Substitution.Very important here is to manipulate the units of measure such that the final units of measureto be proved by your work. This part is very important, since you will allow you to verify thatwhat you do is correct. For example, you calculate for…
- The height of a certain hill (in feet) is given by h(x, y) = 10 (2xy - 3 x^2 - 4y^2 -18x +28y + 12), where y isthe distance in miles (north), x the distance east of South Hadley, Massachusetts.a.) Where is the top of the hill located? b.) How high is the hill? c.)How steep is the slope (in feet per mile) at a point 1 mile north and one mile east of South Hadley? Inwhat direction is the slope steepest, at that point? d.) Make a contour map and a 3D plot of the area surrounding South Hadley, from 8 miles west to 4 mileseast, and 2 miles south to 8 miles north. Plot only positive heights on the 3D graph; use If to help yououtFor example, dimensional analysis could be used to determine the number of nickels in 3432.35 dollars. 34 dellar • To begin, write down the starting value, 3432.35 dollars. This can also be written as a fraction: Next, convert dollars to cents. This conversion involves a simple conversion factor: delar Note that the "dollar" unit should appear on the bottom of this conversion factor, since "dollars" appears on the top of the starting value. • Finally, convert cents to nickels. This conversion also involves a simple conversion factor. . This time "cents" should be on the bottom of the conversion factor, S centa since it was on top of the previous conversion factor. • Combining these expressions gives us 1 nickel 5 centa 3432.35 dollars ) (100 cente 1 dollar • Finally, cancel units. Since dollars are divided by dollars, and cents are divided by cents, both of these units can be canceled. Multiplying through gives the final result: 1 nickel 5 centis 3432.35 dollars 100 conts 68, 647…clocktower 's dock is to and 3. The minute han d a somoothly accurate ime. three moves long face meters the PUNQID it teeps as How fast is the height off the min te hand decreasing at 12:10? * Carefully explain your reasoning rules that and cite any are used in the process. final differentiation Make sure of gour to units the specify answer, 12 10 2 8. EHint : Draw geo metric import ant variables. Make you know an of want to need. Then what you know to a picture figure ard Of the refevant (abel the 1887 Of ohat a Use need. get what you