Integrated Concepts A 90.0-kg ice hockey player hits a 0.150-kg puck, giving the puck a velocity of 45.0 m/s. If both are initially at rest and if the ice is frictionless, how far does the player recoil in the time it takes the puck to reach the goal 15.0 m away?

Step-by-step solution In this problem we have to calculate the recoil time taken by the puck to reach the goal. Step 1 of 5 The initial momentum of a system is equals the final momentum of the system if there is no net external force act on the system. Step 2 of 5 Relation between distance and velocity is, Here d is the distance, isthe velocity and t is the time. Step 3 of 5 Substitute for , for in the above equation, Therefore, Since, initially both are in the rest. So, according to the conservation of momentum, Here, is the mass of the puck, is the velocity of the puck, is the mass of the player is the velocity of the player.