Step-by-step explanation:
One way to save yourself and get to safety without any help on a frictionless frozen pond is to make use of the conservation of angular momentum. By spinning your body, you can create an angular momentum that can be used to propel yourself in the opposite direction.
To do this, you could start by extending your arms and legs outwards and then tucking them in towards your body. This will cause your body to start spinning in the opposite direction. By changing the position of your arms and legs, you can control the speed and direction of your spin.
As you spin, you can gradually increase the speed of your spin by tucking your arms and legs in closer to your body. This will cause your body to spin faster and faster, generating a larger angular momentum.
Once you have built up enough angular momentum, you can then extend your arms and legs outwards again to slow down and stop your spin. At this point, your body will be moving in the opposite direction to your initial spin, allowing you to glide across the ice without any external force.
By repeating this process, you can continue to generate angular momentum and propel yourself in the opposite direction until you reach safety. It may take some practice to master this technique, but with enough determination and persistence, it is possible to save yourself and get to safety without any help on a frictionless frozen pond.