Physics Applications of Newton's Law w/ Friction

Question

A 500 kg block sits on a horizontal tabletop. The coefficient of static and kinetic friction are 0.530 and 0.410 respectively, at the contact surface between table and block. An external force of 10.0 N is applied at an angle with the horizontal. What angle will lead to the maximum acceleration of the block given the external force? What is the maximum acceleration?

Answer 1

a = Fk / m = 0.410 * (500*10 / 0.530 ) / 500

= 7.73 m/s2

tan angle = 7.73 / 9.8 = 0.7887

Angle = 38.26 degree