Hello, I need help with my Physics homework it is about Linear Momentum and Collisions

System 0! interest Leads to a Perfectly Inelastic Collision Frictionless ice surface As shown above, an ice hockey puck of mass m1 kg has a velocity of v1 mls and is moving to the right (in the positive x direction) toward an ice hockey goalie of mass m2 kg who is originally moving backward (i.e., toward the right, in the positive x direction) at v2 mls. The puck and goalie have a perfectly inelastic collision. We can assume that the friction between the ice and the puck-goalie system is negligible as is the air resistance. For this problem, m1, v1, m2, and v2 are all known. Complete the lettered sections below to calculate the recoil velocity of the puck and goalie. (a) Please write neatly and show and explain each step of your work, and use only standard variables like the ones we have employed in class. (b) Draw a sketch of the puck-goalie system before and after the collision, being sure to label and draw correctly all the velocities involved. Use m1, m2, v1, v2, and v' to label the beforeandafter sketch. (c) Use the equation for the conservation of linear momentum and the fact that this one-dimensional collision is perfectly inelastic to derive an equation that solves for the recoil velocity v' of the puck and goalie in terms of the other variables. (d) If m1 = 0.140 kg, v1 = 35.0 m/s, m2 = 60.0 kg, and v2 = 0.100 m/s, calculate the recoil velocity of the puck and goalie to three signicant figures