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Grade 10Mechanics

In a square field of side 10m, we move along two adjacent sides starting from one corner and ending at the opposite corner. What is our displacement.

Profile image of Jayati Dinesh Bharadwaj
15 Years agoGrade 10
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4 Answers

Profile image of SAGAR SINGH - IIT DELHI
15 Years ago

Dear studentm

Displacement in this case= diagonal of the square=10 root 2 m

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Sagar Singh

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Profile image of vikas askiitian expert
15 Years ago

let abcd be a square ...

if we from vertex a move along two adjecent sides then finally we reach to vertex c (the opposite vertex) ...

from pythogorus theorem

 (ab)2+(bc)2 = (ac)2

ac is the displacement  , ab = ac = 10          (each side is equal )

 ac = root((ab)2+(bc)2)=(100+100)1/2

                                 =(200)1/2m

(200)1/2 m is displacement

Profile image of Shivam Bhagat
15 Years ago

Let one side to be x

displacement = the minimum possible distance between 2 points of movement

therefore in a square according to problem, the displacement is the diagonal of that square

 

1667_25367_ph3.jpg

Profile image of Fawz  Naim
15 Years ago

displacement is the distance between the initial and the final point. As we started from one vertex and stopped at the opposite vertex, so the displacement is equal to the length of the diagonal. Side of the square is 10m

therefore the length of the diagonal is =10*square root(2)

10*1.414=14.4m