Question

... The resultant of two forces cannot exceed
1) average of the forces
2) algebraic sum of the two forces
3) difference of the two forces 4) none​

Answer 1

Answer:

2

Explanation:

maximum value cannot exceed the algebric sum because when both forces applied in one direction will give max value which is equal to algebric sum of both the forces

Answer 2

The correct response to the given question is option 2: the algebraic sum of the two forces.

• The resultant of two forces here implies the magnitude of the forces when they are acting on an object at the same time.
• The value of the resultant force can be found by considering its magnitude and representing it in the form of vectors.

=> According to the law and vector addition rule:

=> Let the magnitude of two forces be F1 and F1.

=> Let the magnitude of resultant force be Fr.

=> The value of resultant force Fr= $\sqrt{F1^{2} +F2^{2} + 2. F1.F2.Cos theta$

=> Cos θ value here is between -1 and +1 which is very small and can be neglected.

∴ The value of resultant force Fr= $\sqrt{F1^{2} +F2^{2} + 2. F1.F2$

=> The value of resultant force Fr= $\sqrt (F1 + F2)^{2}$ (From the mathematical identity)

=> The value of resultant force Fr= (F1 + F2) (By cancelling root and square)

=> It implies that resultant force is the algebraic sum of two forces from the above derivation.

• Hence, the resultant force cannot be greater than the algebraic sum of two forces.