Question

Example. 2
A particle suffers three displacements by 4m in
the northward, 2m in the south-east and 2m in
the south-west directions. What is the
displacement of the particle and what is the
distance covered by it? please answer this ​

Answer 1

Answer:

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CBSE Class 12-science - Ask The Expert

Answered

A particle suffers 3 displacements by 4m in the northward,2m in the south-east and 2m in the south-west directions.

What is the displacement of the particle?

sir please tell me how you arrived at this :

Second displacement is 2 m in the direction South-East to the point B .Hence displacement = √2 begin mathsize 14px style i with hat on top end style - √2 begin mathsize 14px style j with hat on top end style

Asked by kandappan | 19th Apr, 2020, 03:38: PM

Expert Answer:

Let us consider x-y coordinte axes such that x-axis in the direction West-to-East and

Y-axis in the direction of South-to-North.

If the displacement is 2 m in the direction of South-East, then as shown in figure,

displacement vector makes angle 45o with x-axis.

Hence if we resolve diplacement vector in x-axis and y-axis,

One component of magnitude √2 will be in +x-axis and

Other component of magnitude √2 will be in -Y axis.

Hence displacement vector of magnitude 2 m in the direction of South-East is written as (√2 begin mathsize 14px style i with hat on top end style- √2 begin mathsize 14px style j with hat on top end style)