Question 1 (1 point) Spring Eq. Position Ax 0=30 h Top of Hill Mk =? A small 2 kg box is initially at rest and in contact with a spring (k= 14 N/m) that has been compressed by 3.4 meters meters along the surface of a ramp that makes an angle of 30 degrees with the horizontal. After the box leaves contact with the spring at the top of the ramp it goes over a hill with a radius of 2 m and then down into a level friction patch. All surfaces are frictionless except for the friction patch at the bottom of the hill and the box stays in contact with the ramp and hill at all times. a) Calculate the kinetic energy of the box when the spring reaches it's equilibrium position. (1.5 pts) b) Calculate the speed of the block at the top of the hill with a radius of r. (2 pts) c) Draw a FBD for the box at the top of the hill with any differences in magnitudes and directions clearly indicated. (1.5 pts) d) Calculate the normal force by the hill on the box at the top of the hill. (2 pts) e) If the box comes to a stop 4 meters into the frictional path, calculate the coefficient of kinetic friction between the box and the frictional path. (2 pts)