question_answer

Forces of magnitudes 5N, 10N, 15N and 20 N   act on a particle in the direction of North, South, East and West respectively. The magnitude of their resultant is

A)  \[15\sqrt{2}N\]   

B)         \[10\,N\]              

C)         \[25\sqrt{2}\,N\]                

D)  \[5\sqrt{2}\,N\]

Correct Answer: D

Solution :

Required resultant \[=\sqrt{{{(15-20)}^{2}}+{{(5-10)}^{2}}}\] \[=\sqrt{25+25}\] \[=5\sqrt{2}N\]