Halliday, Fundamentals of Physics,10e FUNDAMENTALS OF PHYSICS (HALI Gradebook OR

Question

Halliday, Fundamentals of Physics,10e FUNDAMENTALS OF PHYSICS (HALI Gradebook ORION Downloadable eTextbook ment BACK Chapter 03, Problem 022 (a) What is the sum of the following four vectors in unit-vector notation? For that sum, what are (b) the magnitude, (c angles are counterclockwise from the positive direction of the x axis; negative angles are clockwise. E 6.00 m at +0.900 rad : 5.00 m at-75,00 4.00 m at +1.20 rad H: 6.00 m at-2100 Units (a) Number (b) Number (e) Number (d) Number Units Units Units

Explanation / Answer

here,

E = 6 * ( cos(0.9 ) i + sin(0.9) j)

E = 3.73 i + 4.7 j

F = 5 * ( cos(-75) i + sin(-75) j)

F = 1.29 i - 4.83 j

G = 4 * ( cos(1.2) i + sin(1.2) j)

G = 1.45 i + 3.73 j

H = 6 * ( cos(-210) i + sin(-210) j)

H = - 5.2 i + 3 j

a)

sum , S = E + F + G + H

S = 1.27 i + 6.6 j

b)

magnitude , |S| = sqrt(1.27^2 + 6.6^2)

|S| = 6.7 m

c)

theta = arctan(6.6/1.27) = 79.1 degree

d)

theta = 1.34 rad

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