Problem Two. An object of mass m starts from rest and slides a distance d down an incline of angle 0. While sliding, it contacts an uncompressed spring as shown in the figure. The object slides an additional distance x as it is brought momentarily to rest by the compression of the spring (with spring constant k). As the spring is being compressed, it scrapes on the ramp causing friction with a with a varying coefficient of kinetic friction given by u = a x², where a is a constant (with units of m). Find the spring constant k. 6mg(d + x)sin O +2x°a mg cos 0 3x? 2.x'a mg cos e – 6mg(d + x)sin 0 3x? 3 4.) (A) k = (В) k 6mg(d – x)sin 0 – 2x°a mg cos 0 3x? 2x'a mg cos 0 – 6mg(d – x)sin 0 3x? (C) k = (D) k = 6mg(d + x 3x? )sin 0 – 2x°a mg cos 0 | (E) k

Problem Two. An object of mass m starts from rest and slides a distance d down an incline of angle 0. While sliding, it contacts an uncompressed spring as shown in the figure. The object slides an additional distance x as it is brought momentarily to rest by the compression of the spring (with spring constant k). As the spring is being compressed, it scrapes on the ramp causing friction with a with a varying coefficient of kinetic friction given by u = a x², where a is a constant (with units of m). Find the spring constant k. 6mg(d + x)sin O +2x°a mg cos 0 3x? 2.x'a mg cos e – 6mg(d + x)sin 0 3x? 3 4.) (A) k = (В) k 6mg(d – x)sin 0 – 2x°a mg cos 0 3x? 2x'a mg cos 0 – 6mg(d – x)sin 0 3x? (C) k = (D) k = 6mg(d + x 3x? )sin 0 – 2x°a mg cos 0 | (E) k