Description
Unformatted Attachment Preview
Purchase answer to see full attachment
Explanation & Answer
Attached.
5
Suppose you first walk 12.0 m in a direction west of north and then 20.0 m in a
direction 40.0∘40.0∘ south of west. How far are you from your starting point, and what is the
compass direction of a line connecting your starting point to your final position? (If you
represent the two legs of the walk as vector displacements A and B , as in Figure 3.56, then this
problem finds their sum R = A + B.)
Question Image
.x=20 cos 40 =19.43m
Y=12 sin 20 =1.579
Rx =AX+BX =-(12 sin 20) –(20 cos40) =19.43m
Ry =√(Ay+Ry)2 =√-(19.43)2+-(-1.579)2
y=19.5m
angle= tan-1y/x
=4.650 South of west
10
Find the magnitudes of velocities vA and vB in the figure below, where,θ = 23.5° and vtot = 6.48 m/s
Apply sin rule
Va= 6.48 sin 23/6.48 sin(180-23-26.5)
Va= 3.33m/s
Vb =6.48 sin 26.5/6.48 sin(180-23-26.5)
Vb =3.80m/s
16
Solve the following question using analytical techniques.Suppose you walk 18.0 m
straight west and then 25.0 m straight north. How far are you from your starting point,
and what is the compass direction of a line connecting your starting point to your final
position? (If you represent the two legs of the walk as vector displacements...