If the applied force is doubled coefficient of friction isSelect an answerAHalvedBTripledCDoubledDNot change

Analysis of the Problem

The coefficient of friction ($\mu$) is a constant that represents the ratio of the force of friction ($F_f$) between two bodies to the normal force ($N$) pressing them together. The friction force can be calculated as:

$F_f = \mu N$

Relevant Concept

1. Understanding Coefficient of Friction: The coefficient of friction does not depend on the applied force; it remains constant for a pair of surfaces in contact unless those surfaces change or other physical conditions affect the interaction.
2. Friction Force Relation: If you double the applied force, the normal force typically remains constant (assuming horizontal surfaces with no vertical movement), which means that the friction force can increase, but the coefficient of friction itself will not change.

Conclusion

1. Choice Evaluation:
   • A. Halved: Incorrect, as there is no intrinsic relation between friction and applied force.
   • B. Tripled: Incorrect, same reasoning as above.
   • C. Doubled: Incorrect for the same reason.
   • D. Not changed: Correct, since the coefficient of friction remains constant for given materials.

Final Answer

D. Not change