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Question

lus yuu l ao hot yet redeemed an access code for this class or purchased access online. The grace period will end Mond see your WebAssign assignments or grades Get access now. 0/3 points 1 Previous Answers SerPSE9 3 P038 Three displacement vectors of a croquet ball are shown in the figure, where |Al 12.0 units, BI 20.0 units, and iCI 15.0 units 45.0 (a) Find the resultant in unit-vector notation. R-24.742i +36.742j x units (b) Find the magnitude and direction of the resultant displacement. magnitude 44 296 direction56.044 Your response differs from the correct answer by more than 10%. Double check your calculations, unit(s) counterclockwise from the +x-axis Need Help? Submit Answer Save Progress Practice Another Version 7. .: 2/2 points Previous Answers SerPSE9 3 P 039 MI de of 160 cm and makes an ang! e of 124° with th A man pushing a mop across a floor causes it to undergo two displacements. The first has a magnitu of 1aa cm and is directed at an angle of 38.0° to the positive x axis. Find the magnitude and direction of t

Explanation / Answer

Given,

A = 12 units ; B = 20 units ; C = 15 units

a)We need to find the resultant in unit vector notation

Rx = 20 cos45 i + 15 cos45 = 24.75 i

Ry = 12 + 20 sin45 - 15 sin45 = 15.54 j

R = Rx + Ry = 24.75 i + 15.54 j

Hence, R = 24.75 i + 15.54 j

b)magnitude will be given by:

R = sqrt (24.75^2 + 15.54^2) = 29.22 units

Hence, R = 29.22

theta = tan^-1(15.54/24.75) = 32.12 deg

Hence, theta = 32.12 deg