On a beautiful spring day Rosie and Frankie decide to go skateboarding at the local skate park. Frankie has this really cool trick that she wants to try out on one of the half-pipe at the park. She tells Rosie to go stand on her skateboard in the center at the bottom of the half-pipe. Frankie then tells Rosie she is going to drop down from rest at the top of the half-pipe which stands at a height of 4.5 m. Frankie tells Rosie to grab onto her arms when she gets to the bottom so they can create a perfectly inelastic collision and move together after the collision. Unfortunately, when Frankie attempts this trick another skater named Mike drops down from rest on the other side (which is at the same height of 4.5 m) behind Rosie which results in the screaming Rosie-Frankie combination colliding elastically with Mike. If Rosie has a mass of 50.0 kg, Frankie has a mass of 70.0 kg, and Mike has a mass of 100.0 kg what is the final velocity of all three of the skaters after the elastic collision. Negate friction and assume that Rosie and Frankie continue to hold on to one another after the elastic collision. You may only use momentum and energy considerations to solve this problem.
On a beautiful spring day Rosie and Frankie decide to go skateboarding at the local skate park. Frankie has this really cool trick that she wants to try out on one of the half-pipe at the park. She tells Rosie to go stand on her skateboard in the center at the bottom of the half-pipe. Frankie then tells Rosie she is going to drop down from rest at the top of the half-pipe which stands at a height of 4.5 m. Frankie tells Rosie to grab onto her arms when she gets to the bottom so they can create a perfectly inelastic collision and move together after the collision. Unfortunately, when Frankie attempts this trick another skater named Mike drops down from rest on the other side (which is at the same height of 4.5 m) behind Rosie which results in the screaming Rosie-Frankie combination colliding elastically with Mike. If Rosie has a mass of 50.0 kg, Frankie has a mass of 70.0 kg, and Mike has a mass of 100.0 kg what is the final velocity of all three of the skaters after the elastic collision. Negate friction and assume that Rosie and Frankie continue to hold on to one another after the elastic collision. You may only use momentum and energy considerations to solve this problem.
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