A horizontal force acts on a mass m that lies on a horizontal surface. The acceleration of m is . The coefficient of kinetic friction µ_k between mass m and the surface can be calculated from A) µ_k = a/g B) µ_k = (F/mg) - (a/g) C) µ_k = (F/mg) + (a/g) D) µ_k = 0 E) None of these is correct.

Question

Quizplus · Accepted Answer

The frictional force is given by: F(friction) = µ_k * mg Applying Newton's second law horizontally: F - F(friction) = ma where F is the applied force. Substituting F(friction) we get: F - µ_k * mg = ma Solving for µ_k we get: µ_k = (F/mg) - (a/g) Therefore, the correct answer is B.

A Horizontal Force Acts on a Mass M That