Final answer:
The force of friction is 40 N and the acceleration of the object is 0 m/s².
Step-by-step explanation:
To determine the force of friction, we need to first calculate the maximum static friction force that can be exerted on the object. The maximum static friction force, fs(max), is equal to the coefficient of static friction, μs, multiplied by the normal force, N. In this case, the normal force is equal to the weight of the object, which is the product of the mass, m, and the acceleration due to gravity, g.
N = m * g = 15 kg * 9.8 m/s² = 147 N
fs(max) = μs * N = 0.40 * 147 N = 58.8 N
Since the applied force, F, is less than fs(max), the object remains stationary. Therefore, the force of friction is equal to the applied force, F.
Force of friction = F = 40 N
To determine the acceleration of the object, we can use the equation F = ma, where F is the net force and a is the acceleration. The net force can be calculated by subtracting the force of friction, Ff, from the applied force, F.
Net force = F - Ff = 40 N - 40 N = 0 N
Since the net force is 0 N, the acceleration of the object is also 0 m/s².