College Physics b Chapte x Q Secure https/www.webassignnet/web/student/Assignmen

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College Physics b Chapte x Q Secure https/www.webassignnet/web/student/Assignment-Responsesvlast?dep 15726322 O-25 points CJ10 P052 My Notes Ask Your leacher Two geological field teams are working in a remote area. A global positioning system (Gps) tracker at their base camp shows the location of the first team as 30 km away, 16. north of west, and the second team as 30 km away, 38 east of north. when the first team uses its Gps to check the position of the second team, what does give for the following? a) the second team's distance from the first team b) the second team's direction from the first team, measured relative to due east Select o -2 points cu101 P 055 interactive solution 1.55 presents the solution to a problem that is similar to this one. vector A has a magnitude of 146 units and points 30.0 north of west. vector points .ast or north. vector C polnts 10 rest of ouch. mese three add to ve a resultant vector that is zero. using components, find the magnitudes of the following vectors, TOSHIBA

Explanation / Answer

let north be along +ve y axis and east be along +ve x axis.

then position vector of first team=r1=30*(-cos(16) i +sin(16) j)

=(-28.8378 i+8.26912 j) km

position vector of second team=r2=30*(sin(38) i + cos(38) j)

=18.4698 i + 23.64 j km

so position of second team w.r.t first tema=r2-r1

=47.3076 i +15.37088 j km

part a:
distance=sqrt(47.3076^2+15.37088^2)=49.7421 km

part b:

angle with east =arctan(15.37088/47.3076)=18 degree north of east.

Q2.let magnitude of vector B=B

magnitude of vector C=C

then sum of three vectors=0

==>146*(-cos(30)i+sin(30) j)+B*(sin(66) i + cos(66) j)+C*(-sin(10) i-cos(10) j)=0

equating x components:

-126.4397+0.91354*B-0.17365*C=0..(1)

equating y components:

73+0.40673*B-0.9848*C=0...(2)

solving equations 1 and 2:

we get B=165.488

C=142.475

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