rate. (1 US gal 231 in. pr -qs 16. A hydrogen atom has a diameter of 1.06 10-10
ID: 1884470 • Letter: R
Question
rate. (1 US gal 231 in. pr -qs 16. A hydrogen atom has a diameter of 1.06 10-10 m. The nucleus of the hydrogen atom has a diameter of approxi mately 2.40 × 10-15 m. (a) For a scale model, represent the diameter of the hydrogen atom by the playing length of an American football field (100 yards -500 ft) and determine the diameter of the mucleus in millimeters. (b) Find the ratio of the volume of the hydrogen atom to the volume of its nucleus involving the unknowns p, ratio of t to r and find the value of the A highway curve forms a section of a circle. A car goes around the curve as shown in the heli- copter view of FigureExplanation / Answer
44.
A= 20 j
B= 40( cos 45 i + sin 45 j)= 28.284 i + 28.284 j
C= 30 ( cos 45 i - sin 45 j) = 21.21 i - 21.21 j
a).
Resultant, R= A+B+C
= 20 j + 28.284i + 28.284j +21.21 i - 21.21 j
= 49.497 i + 27.074 j
b)
Magnitude, R^2= 49.497^2+ 27.074^2
R= 56.418 units
Direction, x= arctan( 27.074/49.497)= 28.68 ccw with +x axis.
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46.
A-B+ 3 C= 0
-8.7i + 15j -13.2i + 6.6 j + 3 C= 0
C= 7.3 i - 7.2 j
Components of C
Cx= 7.3
Cy= -7.2
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50.
D= A+B+C= 3i-3j+ i- 4j +2i +5 j= 6i - 2j
Magnitude, D= sqrt(6^2+2^2)= 6.324
Direction, x= 360- arctan (2/6)= 341.565 ccw with +x axis
b)
E= -3i + 3j - i + 4j + 2i + 5j = -2i + 12 j
Magnitude, E= 12.166
Direction, x= 99.462 ccw with +x axis.
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According to chegg guidelines we can solve one problem at atime, plz post other problems seperately.
Comment in case any doubt...good luck
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