This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.
ScanSolve AI Answer
Alright — let's do this. To find the coefficient of friction, we need to apply Newton's Second Law. Step 1: Identify the given values. Applied Force (F_A) = 18 N Mass (m) = 40 kg Acceleration (a) = 0.3 m/s^2 Acceleration due to gravity (g) = 10 m/s^2 (commonly used in such problems for simplicity, and it leads to one of the options exactly). Step 2: Calculate the normal force (N). Since the mass is on a horizontal floor, the normal force is equal to the gravitational force (weight) acting on the mass. N = mg N = 40 kg × 10 m/s^2 N = 400 N Step 3: Apply Newton's Second Law in the horizontal direction to find the frictional force (F_f). The net force in the horizontal direction is the applied force minus the frictional force, and this net force causes the acceleration. F_x = F_A - F_f = ma 18 N - F_f = 40 kg × 0.3 m/s^2 18 N - F_f = 12 N Now, solve for F_f: F_f = 18 N - 12 N F_f = 6 N Step 4: Calculate the coefficient of friction (). The frictional force is related to the normal force by the coefficient of friction: F_f = N Rearrange to solve for : = (F_f)/(N) = 6 N400 N = 0.015 The final answer is B) 0.015. Drop the next question.