Final answer:
The coefficient of friction is calculated as the frictional force divided by the normal force. Without considering the angle of applied force, the coefficient of friction is 0.3.
Step-by-step explanation:
To determine the coefficient of friction, we must consider the forces acting on the body on the rough horizontal plane. Since the weight of the body is given as 50 N, this is also equivalent to the normal force (N) as the plane is horizontal and there are no other vertical forces.
The force applied at an angle has two components: a horizontal component (horizontal) and a vertical component. The vertical component of this force slightly reduces the normal force, thus reducing the frictional force.
However, to solve for the coefficient of friction without considering the angle, we presume that the entire 15 N is used to overcome friction and thus the frictional force (f) equals the applied force (15 N).
Using the formula for frictional force, f = μN, where μ is the coefficient of friction,
we can rearrange to solve for μ: μ = f/N.
Plugging in the numbers, we get μ = 15 N / 50 N = 0.3.
Therefore, the coefficient of kinetic friction is 0.3.
Note that, to be fully accurate, the angle of the applied force should be taken into account, and the normal force should be adjusted accordingly. The actual computation would be slightly more complex and might yield a different coefficient depending on the precise contribution of the applied force to the frictional force.