1. In the figure to the right a box slides up a frictionless ramp . The top of the ramp is 7.8 m above the ground. What minimum speed is necessary for the box to reach the top of the ramp? 2. A roller coaster cart moving along a frictionless track has a speed 8 m/s at point a, which has a height of 14 m. The cart comes to rest at point d , it's maximum height . Find the height point d. 3. A roller coaster cart of mass 380 kg moving along a frictionless track has a speed 6.9 m/s at point A, which has a height of 13.8. What is the carts total mechanical energy at point c. 4. In the figure below, a box of mass 10.9 is compressed onto a spring with a spring constant k= 480 N/m a distance of 0.65 m and released along a horizontal frictionless surface. Find it's speed , v , immediately after leaving the spring