Motion in a Plane
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Question : 8
Total: 32
Three girls skating on a circular ice ground of radius 200 m start from a point P on the edge of the ground and reach a point Q diametrically opposite to P following different paths as shown in figure. What is the magnitude of the displacement vector for each? For which girl is this equal to the actual length of path skate?
Solution:
Let the three girls be A, B and C. Let PAQ, PBQ and PCQ be the paths followed by A, B and C respectively. Radius of the circular track = 200 m.
As all the girls start from point P and reach at Q.
∴ =
So the magnitude of the displacement vector for each girls= |
|
Diameter of the circular ice ground = 2 × 200 = 400 m.
From figure. it is clear that for girl B, the magnitude of the displacement vector is equal to the actual length of the path skated.
As all the girls start from point P and reach at Q.
So the magnitude of the displacement vector for each girls
Diameter of the circular ice ground = 2 × 200 = 400 m.
From figure. it is clear that for girl B, the magnitude of the displacement vector is equal to the actual length of the path skated.
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