a boy moves 10m 30°N of E,10m due south and then 10m 30°N of W.find the magnitude of displacement of the boy
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Answer:
Displacement = 0
Explanation:
a boy moves 10m 30 degree N OF E, 10 M DUE SOUTH AND THEN 10M 30 N OF W FIND THE DISPLACEMENT
Let say He is at origin (0,0)
moves 10m 30 degree N OF E,
=> 10Cos30 = 5√3 m Towards East
& 10Sin30 = 5 m Towards North
he is (5 m N & 5√3 m E)
Then 10 m south = -10 m North
=> he is (5 -10) m N & 5√3 m E
=> - 5 m N & 5√3 m E
=> 5 m S & 5√3 m E
Then 10M 30 N OF W
=> 10 Sin30 = 5 m North & 10Cos30 = 5√3 m West
=> - 5 m S & - 5√3 m E
he is at (5 - 5) S & (5√3 - - 5√3 ) E
=> 0 m S & 0 m E
=> He is back to origin
=> Displacement = 0
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