Chapter 07 Motion Questions-01

Questions

1. An object has moved through a distance. Can it have zero displacement? If yes, support your answer with an example.

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Answer

Yes, an object can have zero displacement even when it has moved through a distance.This happens when final position of the object coincides with its initial position. For example, if a person moves around park and stands on place from where he started then here displacement will be zero.

2. A farmer moves along the boundary of a square field of side 10m in 40s. What will be the magnitude of displacement of the farmer at the end of 2 minutes 20 seconds from his initial position?

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Answer

Given, Side of the square field =10m

Therefore, perimeter =10m×4=40m

Farmer moves along the boundary in 40 s.

Displacement after 2m20s=2×60s+20s=140s= ?

Since in 40s farmer moves 40m

Therefore, in 1s distance covered by farmer =40/40m=1m

Therefore, in 140s distance covered by farmer =1×140m=140mNow, number of rotation to cover 140 along the boundary= Total Distance / Perimeter

=140m/40m=3.5 round

Thus, after 3.5 round farmer will at point C of the field.

Therefore. Displacement AC=(10m)2+(10m)2

=100m2+100m2

=200m2

=102m

=10×1.414=14.14m

Thus, after 2 min 20 seconds the displacement of farmer will be equal to 14.14m north east from intial position.

3. Which of the following is true for displacement?

(a) It cannot be zero.

(b) Its magnitude is greater than the distance travelled by the object.

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Answer

None of the statement is true for displacement First statement is false because displacement can be zero. Second statement is also false because displacement is less than or equal to the distance travelled by the object.



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