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Question
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 Fig. 4.20. What is the magnitude of the displacement vector for each ? For which girl is this equal to the actual length of path skate ?
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Solution
Given: The radius of the circular ice ground is 200 m.
The girls skating on a circular ice ground along the three different paths as shown in the figure below:
Displacement is the shortest distance between the starting and end point.
The displacement for each girl is given as,
s = P Q →
The magnitude of displacement is given as,
P Q = Diameter of the circular ice ground = R × 2 = 200 × 2 = 400 m
Thus, the displacement for each girl is 400 m.
The actual path length of girl B is same as the shortest distance between the starting and end point. Therefore for girl B, the magnitude of displacement is equal to the actual length of the path stake.
Given: The radius of the circular ice ground is 200 m.
The girls skating on a circular ice ground along the three different paths as shown in the figure below:
Displacement is the shortest distance between the starting and end point.
The displacement for each girl is given as,
The magnitude of displacement is given as,
Thus, the displacement for each girl is 400 m.
The actual path length of girl B is same as the shortest distance between the starting and end point. Therefore for girl B, the magnitude of displacement is equal to the actual length of the path stake.
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