Question about momentum involving shooting a hockey puck

[meeklobraca]

This is not homework, just a curious question.

What would need to be figured out, to determine how fast a hockey player would have to shoot the puck at a goalie, for the goalie to be forced backwards about 5 feet. The idea was being floated about if a player could shoot a puck so fast that the puck and the goalie would go into the net effectivly being a goal.

 

[buffordboy23]

Interesting question. I imagine that you are familiar with basic physics formulas?

Here are some ideas for starters:
1. There is a small coefficient of friction between the ice and the goalie's skates. You could assume that the total energy needed is W = Fd = (uN)d = (umg)d.
2. You could relate this to the kinetic energy equation, K = 1/2mv^2, to determine the needed velocity v. You may be disappointed with the result using just the ideas from 1 and 2, since you don't see these results to be true.
3. When the puck impacts with the goalie, this will produce a torque about the goalie's center of mass.

Another idea is to compute the required torque necessary to overcome the friction of the ice/skates and knock the goalie flat on his back and go from there.

 

[astrokreng]

To determine the momentum needed for a hockey player to shoot a puck and force a goalie backwards by 5 feet, several factors would need to be considered. First, the mass of the puck and the goalie would need to be taken into account. The heavier the objects, the more force and momentum would be required to move them. Additionally, the speed of the puck would also play a significant role. The faster the puck is traveling, the more momentum it would have and the greater the force it would exert on the goalie.

Another important factor to consider would be the coefficient of friction between the ice and the puck. The smoother the ice, the less friction there would be, allowing the puck to travel faster and with more momentum.

It would also be important to consider the angle and trajectory at which the puck is shot. A shot that is more direct and straight towards the goalie would likely have a greater impact and force compared to a shot that is at an angle or deflected off of another player or object.

Ultimately, the exact calculations and measurements needed to determine the necessary momentum for a successful goal would require more specific information and variables, such as the distance between the shooter and the goalie, the strength and positioning of the goalie, and the conditions of the ice surface. But in general, a powerful and well-aimed shot with a fast-moving puck would likely have the best chance of achieving the desired result.