Two forces each of 20 N act simultaneously on a body, the maximum net force and minimum net force are : (A) 40 N and ON (B) 20 N and ON (C) 20 N and 10 N (D) 40 N and 20 N
The maximum net force and the minimum net force on the body are 40N and 0 N.
The net force acting on a body due to the application of various forces depends upon the magnitude of each force and the direction in which they are acting.
The magnitude can be found using the property of vector addition, i.e.
[tex]F=\sqrt{F_1^2+F_2^2+2F_1F_2cos\alpha }[/tex]
where [tex]\alpha[/tex] is the angle between two forces.
The maximum and minimum value of the net force is when [tex]cos\alpha =1[/tex] and [tex]cos\alpha =-1[/tex], i.e. when [tex]\alpha =0^o[/tex] and when [tex]\alpha =90^o[/tex].
When two forces act in the same direction [tex](\alpha =0^o)[/tex], the forces add up. So the net force will be, 40N
When two forces act in the opposite direction [tex](\alpha =180^o)[/tex], the forces get canceled out. So the net force will be, 0 N.
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Verified answer
The maximum net force and the minimum net force on the body are 40N and 0 N.
[tex]F=\sqrt{F_1^2+F_2^2+2F_1F_2cos\alpha }[/tex]
where [tex]\alpha[/tex] is the angle between two forces.