You have built an enormous spring-loaded Hot Wheels track that will propel a 50 gram toy car through a loop and launch it across the room. The spring constant is 800 N/m, the spring launcher has an initial springdisplacement of 5 cm. What is the maximum radius R of the loop such that the car moves around the loop without falling off at the top?
![115_enormous spring-loaded Hot Wheels.jpg](https://secure.tutorsglobe.com/CMSImages/115_enormous spring-loaded Hot Wheels.jpg)