(a) How many atoms of helium gas fill a spherical balloon of diameter 29.0 cm at 18.0°C and 1.00 atm? atoms (b) What is the average kinetic energy of the helium atoms? J (c) What is the rms speed of the helium atoms? km/s
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For a,b, and c could I please get a detailed explanation for the one question
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- Car D is constantly 3.5 feet from the center of the race track and travels at a constant speed. The angle with a terminal ray passing through Car D sweeps out r radians per second. a. How many radians 0 does the angle sweep out in t seconds? Preview b. Define a function j that determines Car D's distance to the right of the center of the race track (in feet) as a function of the number of seconds t since the start of the race. j(t) = Preview c. The angle with a terminal ray passing through Car D must sweep out 27 radians to make one full rotation, and we know it sweeps out r radians per second. How many seconds will it take Car D to complete one full lap? | seconds Preview d. Sketch the graph of the function j below.Please provide typed answer. I NEED TYPED ANSWERS. Thank you.In part a, Why does your I go from from 4.54 x 10^-4 to 4.66 x 10^-4 in the final equation?
- If the direction E in space 1 is given as shown below and the magnitude E, = 5 volt. Find E, in space 2 and the measure of angle a, If ɛ1, = 3,1; ɛ2r = 5; and 0 = 45°. aSolve d,e,f B) : v = -R w(sin(wt)î-cos(wt)j) C): v =( (sin(wt))^2 (cos(wt))^2)^1/2 For C I raised the entire equation to 1/2 because my keyboard doesn’t allow me to do square root but it is basically the Pythagorean theoremGiven the points in space, A = (4,2,– 3), B = (-2,5,1), and C = (5,1,– 2) A) Find a parametric set of equations for the line through point A parallel to the line through points B and C. B) Find the equation of the plane containing points A, B, and C using a vector approach (from chapter 11). C) Find the coordinates of a point on the plane other than A, B, or C which does not lie on a coordinate axis. (no 0 coordinates)
- Identify the error in this "proof" that 2 = 1. (It becomes blatantly obvious if one sets B equal to a number.) Let A = B A2 = AB A2 - B2 = AB - B2 (A - B)(A + B) = (A - B)B A + B = B 2B = B 2 = 1ū u = (4, -2) Find the direction angle of u. Enter your answer as an angle in degrees between 0° and 360° rounded to the nearest hundredth. 0 =If for the right triangle shown a = 5.0 and b = 3.0, then what is tan 0? (Note that no attempt has been made to draw the triangle accurately or to scale.) b a