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Answer :
Final answer:
The coefficient of static friction between the crate and the wooden floor can be calculated by using the formula μ = f/N, where f is the combined force applied by Ralph and Jim, and N is the weight of the crate. Substituting the given values in, we find μ to be approximately 0.573.
Explanation:
In physics, the coefficient of static friction is a measure of how much force is required to make an object move from a rest state. It is the friction that works against the initiation of motion. To find out the coefficient of friction in this case, you first need to understand that the combined force Ralph and Jim exert on the crate is 150 lb + 208 lb = 358 lb.
The frictional force which is in the opposite direction to Ralph and Jim's combined force, at the point the crate is just about moving, is equal to Ralph and Jim's combined force. This frictional force is directly related to the weight of the crate and the coefficient of friction (μ). The mathematical expression for this relationship is f = μN, where f is the frictional force and N is the normal force (which is equal to the weight of the object).
Therefore, μ = f/N. Substituting the values from the problem into this equation gives you μ = 358 lb / 625 lb ~ 0.573. This is the coefficient of friction between the crate and the wooden floor.
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