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Consider the two statements : Statement A : Frictional Force can be zero even though the contact surface is rough. Statement B : Even though there is no relative motion between surfaces, friction force force may exists between them. Options a) Both A & B are true b) A is true B is false. c) A is false but B is true. d) Both A & B are false. Which and why is the right answer?

Physics
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Both are true.
Pl explain as my daughter has answered option c as correct and she needs to know why she is not correct?
If the contact surface is horizontal, and the object on it is at rest, without any sideways force pushing on it, then frictional force will be zero.

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Other answers:

The only contact force will be the normal force opposing weight of the object.

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