Select the correct statement

Options

A. ` mu _(s) lt mu_(s) `
B. ` mu_(s) gt mu_(k)`
C. ` mu_(s) = mu_(k)`
D. ` mu_(s) lt lt mu_(k)`

Answer

To solve the question "Select the correct statement," we will analyze each option regarding the coefficients of friction.

### Step-by-Step Solution:

1. **Understanding Coefficients of Friction**:
- The coefficient of static friction (μs) refers to the frictional force that must be overcome to start moving an object at rest.
- The coefficient of kinetic friction (μk) refers to the frictional force acting on an object that is already in motion.

2. **Analyzing Option A**:
- Option A states that μs is less than μs. This is logically incorrect because a quantity cannot be less than itself. Therefore, this option is false.

3. **Analyzing Option B**:
- Option B claims that the coefficient of static friction (μs) is always greater than the coefficient of kinetic friction (μk).
- This statement is generally true. The maximum static friction force is greater than the kinetic friction force when an object is in motion. Thus, μs > μk. Therefore, this option is true.

4. **Analyzing Option C**:
- Option C states something that contradicts the established relationship between static and kinetic friction. Since we have already established that μs > μk, this option must be false.

5. **Analyzing Option D**:
- Option D also presents a statement that contradicts the established relationship. Since we know that static friction is greater than kinetic friction, this option is also false.

6. **Conclusion**:
- After analyzing all the options, we find that the only correct statement is Option B: "The coefficient of static friction is always greater than the coefficient of kinetic friction."

### Final Answer:
- The correct statement is **Option B**.

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