The purpose of shooting a cannon at rest on a frozen pond is to study the effects of the recoil of the cannon and the velocity of the cannonball on the frozen surface.
The recoil of the cannon can cause vibrations on the frozen pond's surface, potentially causing cracks or fractures in the ice. This can also lead to changes in the ice's structure and thickness.
The velocity of the cannonball after the recoil will depend on various factors such as the weight and size of the cannonball, the force of the recoil, and the friction between the cannonball and the frozen surface. It is difficult to determine an exact velocity without conducting experiments.
The frozen pond can affect the trajectory of the cannonball by providing a smooth surface for the cannonball to travel on. The ice can also cause the cannonball to slide or bounce, altering its path. The thickness and condition of the ice can also impact the trajectory.
Safety should always be a top priority when conducting any scientific experiment. When shooting a cannon at rest on a frozen pond, it is important to ensure that the ice is thick enough to support the weight of the cannon and the recoil. Safety equipment, such as protective gear and barriers, should also be used to prevent any accidents. It is also crucial to have a trained professional supervise the experiment.