use the Polygon Method 1.A.B0 N, NE B. bo N, SE C 40 N,SW What the resultant (k) ? what is the Angle p ?

I having a hard time trying to solve for t since there are decimals. I just dont understand how i would go about doing this. 0.2t2 + 4.997t - 200 =0 Solve for t.

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.

Hello, I have a question about how to calculate for D. I keep getting decimals I dont understand it.

Two vectors A = 1î - 2j and B = 2î + 3j. Find the approximate angle between the vectors (-3A) and (2B)? %3D A. 60 В. 30° O C. None D. 75° E. 120°

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 race car travels 825 km around a circular sprint track of radius 1.313 km. How many times did it go around the track?

Please don't reject I req to u solve for me ok. Topic: Vector 1. A spelunker is surveying a cave. She follows a passage 180 m straight west, then210 m in a direction east of south, and then 280 m at east of north. After a fourth unmeasured displacement, she finds herself back where she started. Use a scale drawing to determine the magnitude and direction of the fourth displacement. Solve only clean handwriting ok must. that's the only information that was provided

Given: PT is tangent to 00 at T; TS 1 PO Complete the following statements. a. TS is the geometric mean between b. TO is the geometric mean between c. If OS = 6 and SP = 24, TS = and O S and and TP %3D