Problem 1: You are an insurance investigator trying to figure out if a driver making an insurance claim was exceeding the speed limit before a collision. Driver A has a car of mass mA, which slammed into Car B (mass mB) which was at rest at a stop sign before the collision. The two cars locked their bumpers during the collision. From the damage, you estimate that the collision speed was v_hit. You can tell from marks at the scene of the accident that car A skidded with locked brakes a distance L before the collision, and the two cars together skidded a distance | after the collision. You look up the coefficient of kinetic friction between the tires of both car A and B and the road surface (mu_k). With this information, calculate v_o, the speed car A was travelling when driver A hit their brakes. Problem2: An object is suspended from a tree by a spring (spring constant k and unstretched length lo). Wind is blowing to the right and accounts for a constant force F_w on the object. The object is at rest and hangs at an angle theta from the vertical direction because of the wind and the weight of the object. The distance between the object and the ground is H. At time=0, the spring breaks, and the object falls under the influence of both the wind and its own weight. How far to the right from its initial position does it hit the ground, L (in terms of m, k, lo, H, theta)