a block rests on a horizontal surface. the normal force is 20N. the coefficient of static friction between the block and the surface is 0,40 and the coefficient of dynamic is 0,20.

d) if the horizontal force is 10N, determine the frictional force

To determine the frictional force, you need to compare the applied force with the maximum static frictional force and the kinetic frictional force.

The maximum static frictional force can be calculated using the formula:
Fs_max = μs * N
where μs is the coefficient of static friction and N is the normal force.

Given that the coefficient of static friction is 0.40 and the normal force is 20N:
Fs_max = 0.40 * 20N = 8N

Since the horizontal force of 10N is less than the maximum static frictional force (10N < 8N), the block will not start moving and the frictional force will be equal to the applied force:
Frictional force = 10N

Therefore, the frictional force is 10N.