As shown in the figure below, a box of mass m = 8.80 kg is sliding across a horizontal frictionless surface with an initial speed Vi = 2.30 m/s when it encounters a spring of constant k = 2700 N/m. The box comes momentarily to rest after compressing the spring some amount xc. Determine the nal compression xc (in m) of the spring. :lm 3' A 55.0 kg skier with an initial speed of 14.0 m/s coasts up a 2.50 m high rise as shown in the following figure. KE, V,=? Find her final speed at the top (in m/s), given that the coefficient of friction between her skis and the snow is 0.0800. (Hint: Find the distance traveled up the incline assuming a straight-line path as shown in the figure.) :1 m/s 3 A 2.3 kg box is sliding along a frictionless horizontal surface with a speed of 1.8 m/s when it encounters a spring. (a) Determine the force constant (in N/m) of the spring, if the box compresses the spring 4.6 cm before coming to rest. :1 N... (b) Determine the initial speed (in m/s) the box would need in order to compress the spring by 1.5 cm. :1 m/s