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Two forces of magnitude F 1 and F 2 are acting on an object. The magnitude of the net force F net on the object will be in the (A) F­ 1 ≤ F net ≥ F 2. (B) (F 1 – F 2 )/2 ≤ F net ≤ (F 1 + F 2 )/2. (C) |F 1- F 2 | ≤ F net ≤ |F 1 + F 2 | .

Two forces of magnitude F1 and F2 are acting on an object.
The magnitude of the net force Fnet on the object will be in the
(A) F­1 ≤ F net ≥ F2.
(B) (F1 – F2)/2 ≤ Fnet ≤ (F1 + F2)/2.
(C) |F1-F2| ≤ Fnet ≤ |F1 + F2|.
 

Grade:11

1 Answers

Aditi Chauhan
askIITians Faculty 396 Points
6 years ago
236-247_50.PNG
Assume that the force F1 on an object makes an angle\theta with F2 on object, such that the component of force F1 along F2 is F1cos\theta and component of force perpendicular to F2 is F1 sin\theta.
The sum of the forces along the direction of force F2 is F2+F1 cos\theta , and the sum of the forces along the direction perpendicular to F2 is F1sin\theta . Therefore the magnitude of net force acting on the object is:
236-1065_52.PNG
The magnitude of minimum force is:
236-22_53.PNG

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