Question

a particle is acted upon by a four forces simultaneously,
30N due east
20N due north
15N due west
40N due south
find the resultant force of the particle?

Answer 1

Answer:

20√2N , South West

Explanation:

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Answer 2

Given that,

A particle is acted upon a four forces are

$F_{1}=30\ N$ due east

$F_{2}=20\ N$ due north

$F_{3}=15\ N$ due west

$F_{4}=40\ N$ due south

We need to calculate the magnitude of resultant force of the particle

Using formula of resultant force

$\vec{R}=\vec{F_{1}}+\vec{F_{2}}+\vec{F_{3}}+\vec{F_{4}}$

Put the value into the formula

$\vec{R}=30i+20j-15i-40j$

$\vec{R}=15i-20j$

$|\vec{R}|=|15i-20j|$

$R=\sqrt{(15)^2+(20)^2}$

$R=25\ N$

Hence, The magnitude of resultant force of the particle is 25 N.

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Topic : resultant force

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