A man goes 100 m north then 100 m east and then 20 m north and then 100 √(2) m south-West. F

Name: Problem 102, Chapter 1: A Complete Resource Book in Physics for JEE Main
Uploaded: 2021-10-10T05:12:21-08:00
Duration: 1 min 43 s
Channel: Akshaya Rs
Description: A man goes 100 m north then 100 m east and then 20 m north and then 100 √(2) m south-West. Find the displacement. (A) 20 m West (B) 20 m East (C) 20 m North (D) 20 m South

step 1 In this question we will learn about some basic concept of the vectors. The question is a man go

Question

A man goes $100 \mathrm{~m}$ north then $100 \mathrm{~m}$ east and then $20 \mathrm{~m}$ north and then $100 \sqrt{2} \mathrm{~m}$ south-West. Find the displacement. (A) $20 \mathrm{~m}$ West (B) $20 \mathrm{~m}$ East (C) $20 \mathrm{~m}$ North (D) $20 \mathrm{~m}$ South

   A man goes $100 \mathrm{~m}$ north then $100 \mathrm{~m}$ east and then $20 \mathrm{~m}$ north and then $100 \sqrt{2} \mathrm{~m}$ south-West. Find the displacement.
(A) $20 \mathrm{~m}$ West
(B) $20 \mathrm{~m}$ East
(C) $20 \mathrm{~m}$ North
(D) $20 \mathrm{~m}$ South

A Complete Resource Book in Physics for JEE Main

Sanjeev Kumar 1st Edition

Chapter 1, Problem 102

Instant Answer

Solved by Expert Akshaya Rs

10/10/2021

Step 1

Step 1: We consider the direction of the man in the direction of X, Y, and Z coordinates, denoted as I, J, and K respectively. Show more…

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A man goes $100 \mathrm{~m}$ north then $100 \mathrm{~m}$ east and then $20 \mathrm{~m}$ north and then $100 \sqrt{2} \mathrm{~m}$ south-West. Find the displacement. (A) $20 \mathrm{~m}$ West (B) $20 \mathrm{~m}$ East (C) $20 \mathrm{~m}$ North (D) $20 \mathrm{~m}$ South

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Key Concepts

Vector Addition

This concept involves summing individual displacement vectors to find the resultant displacement. In problems like these, each leg of a journey is represented as a vector, and the overall displacement is the vector sum of all individual movements.

Decomposition of Vectors into Components

To efficiently add vectors, it is important to break them down into their components along the coordinate axes (usually horizontal and vertical directions). This allows separate summation of components, making it easier to calculate the resultant vector, especially when dealing with angled directions like southwest.

Understanding Displacement

Displacement measures the shortest straight-line path from the starting point to the final position, regardless of the path traveled. It is a vector quantity having both magnitude and direction, distinguishing it from distance which is a scalar.

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