Hot Wheels Loop

Hot Wheels Loop#

../../../../../_images/HotWheelsLoop.png

A child creates a track to play with their toy car. The toy car has a mass of \(m = {{ params.m }} \ \rm{kg}\) and goes down a drop with height \(h\) which ends with a loop, before continuing onto a flat track. The loop has a radius of \(r = {{ params.r }} \ \rm{m}\). The child has no clue how high the track must start for the car to make it fully through the loop without dropping.

Part 1#

Find the height the car must start at to fully pass through the loop.

Answer Section#

Please enter in a numeric value in m.

Attribution#

Problem is licensed under the CC-BY-NC-SA 4.0 license.
The Creative Commons 4.0 license requiring attribution-BY, non-commercial-NC, and share-alike-SA license.