A horizontal force F is applied to a crate,causing it to move over a rough horizontal surface,the kinetic frictional force between the crate and the surface on which it is moving depends on....the applied force
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The kinetic frictional force between the crate and the surface on which it is moving depends on several factors, including the applied force. However, the applied force alone does not directly determine the magnitude of the frictional force. It is actually dependent on the coefficient of kinetic friction (μk) and the normal force (N) acting on the crate.
The coefficient of kinetic friction (μk) is a property that describes the roughness and interaction between the surfaces in contact. It is a dimensionless number that indicates the amount of friction between two surfaces. Higher values of μk indicate more roughness and stronger frictional forces, while lower values indicate smoother surfaces and weaker frictional forces.
The normal force (N) is the force exerted by a surface to support the weight of an object resting on it. For objects on a horizontal surface, the normal force is equal in magnitude but opposite in direction to the weight of the object. It can be calculated as N = mg, where m is the mass of the crate and g is the acceleration due to gravity.
To determine the actual frictional force (Fk) acting on the crate, you can use the equation:
Fk = μk * N
Or, in terms of the applied force (F):
Fk = μk * (m * g)
Where Fk is the magnitude of the kinetic frictional force acting on the crate.
It is important to note that the applied force can overcome the frictional force up to a certain limit, known as the maximum static frictional force. Once the applied force exceeds this limit, the crate will start to move, and the kinetic frictional force will come into play.