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  • There are two forces; their magnitude’s summation is 40 N and the resultant of them is  20N; The resultant force is perpendicular to the smaller force; The magnitudes of their

There are two forces; their magnitude’s summation is 40 N and the resultant of them is  20N; The resultant force is perpendicular to the smaller force; The magnitudes of their forces are 

Option: 1

30 and 10


Option: 2

28 and 12


Option: 3

25 and 15

 


Option: 4

21 and 19 


Answers (1)

best_answer

Let us assume that there are two forces  F and f  and F>f

So F+f=40 N

And if we assume that “R” is the resultant force and “f” is perpendicular to “R” then we can write 

F^{2}=f^{2}+R^{2}

\Rightarrow F^{2}-f^{2}=\left ( 20 \right )^{2}=400
By the hit and trial method, we can see only option (3) can be the right answer. 

 

Posted by

seema garhwal

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