two forces equal to p and 2p newton act on a particle . If the first be doubled and second will be in increased by 20N , the resultant is unaltered . find the value of p??
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Suppose your particle is at origin and you are applying force P and 2P from any side, and if the first force(P) is doubled it will become 2P and if second force is (2P) is increased by 20N it will become become 2P+20N. Now the resultant would be same or unaltered only when the ratio of (P and 2P) would be equal to the ratio of (2P and 2P+20P).
That is (P/2P)=(2P/(2P+20)) => 1/2=(2P/(2P+20)) => 2P+20P=4P => 2P=20 => P=10. so, the value of P comes out to be 10N, and That is your answer.