Question

The largest resultant of two forces P and Q is 31N and the least resultant is 17N. What is

the resultant if P and Q act at right angle?
answer:25N
please explaination my question ​

Answer 1

Answer:

P+Q = 31

P-Q = 17

P = 31-Q

31-Q -Q = 17

31 -2Q = 17

-2Q = 17-31

2Q = 14

Q = 7 N

P+Q = 31

P+7 = 31

P= 31-7 = 24 N

At right angles force will be

cos 90 = 0

net force =

$\sqrt{ {24}^{2} + {7}^{2} }$

$\sqrt{576 + 49}$

$\sqrt{625}$

$25$

therefore the net force will be 25N