A 2.66-kg block is at rest on a horizontal floor. If you push horizontally on the 2.66-kg block with a force of 12.7 N, it just starts to move. What is the coefficient of static friction?
Question
A 2.66-kg block is at rest on a horizontal floor. If you push horizontally on the 2.66-kg block with a force of 12.7 N, it just starts to move. What is the coefficient of static friction?
Solution
The coefficient of static friction (μs) can be calculated using the formula:
μs = Fs / N
where:
- Fs is the force of static friction, which in this case is the force just enough to start moving the block, 12.7 N.
- N is the normal force, which is the weight of the block. Since the block is on a horizontal floor, the weight is the mass of the block times the acceleration due to gravity (9.8 m/s²).
Step 1: Calculate the normal force (N) N = mass * gravity N = 2.66 kg * 9.8 m/s² N = 26.068 N
Step 2: Calculate the coefficient of static friction (μs) μs = Fs / N μs = 12.7 N / 26.068 N μs = 0.487
So, the coefficient of static friction is approximately 0.487.
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