To find the coefficient of friction, we need to use the formula:
Coefficient of friction (μ) = Frictional force / Normal force
In this case, the normal force is equal to the weight of the wooden block since it is resting on a horizontal surface. The weight can be calculated as the mass multiplied by the acceleration due to gravity:
Weight = mass × gravity
Given that the mass is 25 kg and the acceleration due to gravity is 10 m/s^2, we can substitute these values:
Weight = 25 kg × 10 m/s^2
Weight = 250 N
The frictional force is the limiting frictional force, which is given as 50 N.
Now, we can substitute the values into the formula to calculate the coefficient of friction:
Coefficient of friction (μ) = 50 N / 250 N
Coefficient of friction (μ) = 0.2
Therefore, the coefficient of friction between the wooden block and the rough horizontal surface is 0.2.