A girl delivering newspapers covers her route by traveling blocks west, blocks north, and then blocks east.
(a) What is her resultant displacement?
(b) What is the total distance she travels?
a) The resultant displacement of the girl is 5 blocks at (North of East).
b) The total distance travelled by the girl is 13 blocks.
Displacement of a body is defined as the body moving from its rest position to another one. Distance is defined as the length of space between two points.
To distribute newspapers, the girl begins at point A and follows the course ABCD.
The resultant displacement
Now substitute for AD and for OD.
Calculate the angle :
Substitute 4.0 for AD and 3.0 for OD.
Here, is the direction.
Hence, the resultant displacement of the girl is 5 blocks at (North of East).
The total distance travelled.
Substitute 3.0 for AB, 4.0 for BC and 6.0 for CO.
Hence, the total distance travelled by the girl is 13 blocks.
In Figure P3.55, a spider is resting after starting to spin its web. The gravitational force on the spider makes it exert a downward force of on the junction of the three strands of silk. The junction is supported by different tension forces in the two strands above it so that the resultant force on the junction is zero. The two sloping strands are perpendicular, and we have chosen the x and y directions to be along them. The tension is . Find
(a) the tension,
(b) the angle the x axis makes with the horizontal, and
(c) the angle the y axis makes with the horizontal.
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