To find the coefficient of kinetic friction between the block and the table, we need to use the equation for friction:
friction = coefficient of friction * normal force
The normal force is the force exerted by the table on the block perpendicular to the surface. In this case, since the block is resting on a horizontal table, the normal force is equal to the weight of the block:
normal force = mass * acceleration due to gravity
The weight of the block can be calculated using the formula:
weight = mass * acceleration due to gravity
Given that the mass of the block is 5 kg and the acceleration due to gravity is approximately 9.8 m/s^2, we can find the weight:
weight = 5 kg * 9.8 m/s^2 = 49 N
Now we can substitute the weight into the formula for the normal force:
normal force = 49 N
Next, we know that the block is being pulled to the left with a force of 11 N, which causes it to accelerate at 2 m/s^2. This means that the net force acting on the block is:
net force = applied force - friction
Using Newton's second law, we can relate the net force to the acceleration:
net force = mass * acceleration
Substituting the given values:
11 N - friction = 5 kg * 2 m/s^2
11 N - friction = 10 N
Now we can solve for the friction:
friction = 11 N - 10 N = 1 N
Finally, we can calculate the coefficient of kinetic friction using the equation:
friction = coefficient of friction * normal force
Substituting the values:
1 N = coefficient of friction * 49 N
Simplifying:
coefficient of friction = 1 N / 49 N
Therefore, the coefficient of kinetic friction between the block and the table is approximately equal to 0.02.