To determine the coefficient of friction between a block of mass 1.0kg and a 100cm long surface, an experimenter places the block on the surface and begins lifting one end. The block just begins to slip when the end of the surface has been lifted 60cm above the horizontal. The static coefficient of friction between the block and the surface is most nearly:
Correct answer: B. 0.75
- A. 0.60
- B. 0.75
- C. 0.90
- D. 1.05
- E. 1.20
Explanation
To find the static coefficient of friction (μs), identify the angle of inclination (θ) at which the block starts to slip. This can be calculated using the rise and run of the inclined plane: tan(θ) = rise/run = 60cm/100cm = 0.6. The angle θ is approximately 36.87 degrees. The static coefficient of friction is given by μs = tan(θ), so μs = tan(36.87) ≈ 0.75. Thus, the correct answer is Option B: 0.75. Other options are incorrect as they do not match the tangent of the calculated angle.
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