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Practice each question, then open the answer or worked solution.
An object has moved through a distance. Can it have zero displacement? If yes, support your answer with an example.
Yes, an object which has moved through a distance can have zero displacement if it comes back to its initial position.
Example: If a person jogs in a circular park which is circular and completes one round. His initial and final position is the same.
Hence, his displacement is zero.
A farmer moves along the boundary of a square field of side 10m in 40 s. What will be the magnitude of displacement of the farmer at the end of 2 minutes 20 seconds from his initial position?
Given,
Side of the given square field = 10m
Hence, the perimeter of a square = 40 m
Time taken by the farmer to cover the boundary of 40 m = 40 s
So, in 1 s, the farmer covers a distance of 1 m
Now,
Distance covered by the farmer in 2 min 20 sec = 1 x 140 = 140 m
So,
The total number of rotations taken by the farmer to cover a distance of 140 m = total distance/perimeter
= 3.5
At this point, let us say the farmer is at point B from the origin O
Therefore, from Pythagoras theorem, the displacement s = √(102+102)
s = 10√2
s = 14.14 m
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.
Neither of the statements is true.
(a) Given statement is false because the displacement of an object which travels a certain distance and comes back to its initial position is zero.
(b) Given statement is false because the displacement of an object can be equal to, but never greater than the distance travelled.