To find the coefficient of friction, we need to calculate the normal force and the frictional force. The normal force is equal to the weight of the object, and the frictional force can be found using the equation: frictional force = coefficient of friction × normal force. We can find that the coefficient of friction is approximately 0.257.
In order to find the coefficient of friction between the object and the surface, we need to calculate the normal force and the frictional force.
The normal force is equal to the weight of the object, which is given by the formula:
Normal force = mass × acceleration due to gravity
Substituting the given values:
Normal force = 75 kg × 9.8 m/s^2
Next, we can calculate the frictional force using the formula:
Frictional force = coefficient of friction × normal force
Substituting the given values and solving for the coefficient of friction:
Coefficient of friction = frictional force / normal force
Coefficient of friction = (275 N × sin(15°)) / (75 kg × 9.8 m/s^2)
Using a calculator, we can find that the coefficient of friction is approximately 0.257.