1. You are given a task to design a section of road that is a circular arc of radius 75.0m. What should the banking angle be to allow a maximum speed of 55.0mph? ... (5-points) 2. A 3.50kg block is sitting on the bottom of an inclined plane, inclined at an angle of 25.0 with respect to the ground. The block is given a push imparting it a speed of 5.00k along the incline at the bottom, just before it begins to climb up the incline. The surface of the plane is frictionless (i) Find the total (mechanical) energy of the block at the bottom of the incline. (ii) Assuming no other losses in the system, find the distance along the incline the block will end up traveling till the moment it comes to a halt, before sliding back down. Draw a neat labeled diagram before setting up your equations. ... (15-points) 3. A plastic ball is launched in the physics lab from a table that is 1.20m high. The speed of the ball as it exits the launcher is 6.35 , and the angle of the launch with respect to the horizontal is -15.0, meaning it is launched downwards. Draw any relevant diagrams. i) Calculate the distanc along the ground, measured from a point directly beneath the point of release to where the ball hits the ground. ... (15-points) 4. A farmer drags a sled with firewood behind her tractor over a distance of 50.0m along level ground. The total weight of the sled with firewoodis 1.50x10*N. The tractor exerts a constant force of 5.00x10'N at an angle of 10.0 above the horizon. A frictional force of 3.00x10'N opposes the motion. (i) Draw the free body diagram and find the work done on the sled. (ii) If the initial speed of the sled was 2.00", find the final speed of the sled after it has been dragged a distance if 50.0m. ... (15-poir