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1. During a figure skating competition, a boy of mass 60kg and a girl of mass 40kg begin their routine standing motionless in the middle

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1. During a figure skating competition, a boy of mass 60kg and a girl of mass 40kg begin their routine standing motionless in the middle of the rink. When the music begins, they push each other away. The girl obtains a momentum of 96kg m/s [Left]. a) What is the momentum of the boy at that point? (96 kg m/s [right]} b) What is the velocity of the girl at that point? (2.4m/s [left]} C) What is the velocity of the boy at that point? {1.6 m/s [right]} d) If the "push" takes 0.4s to complete, calculate the force of the push. {240 N} 2. A car traveling at 36km/h down an icy road bumps a parked car of similar mass. The parked car glides forward on the ice at 12km/h. a) Find the speed of the first car after the collision. {6.7m/s} b) Is this an elastic collision? Show your work. {No} c) How much energy was lost in the collision? Where did this energy go, mostly? {22 J/kg} 3. A ball of mass 1.2kg moving north at 7.0m/s strikes another ball of mass 2.0kg that is moving west at 3.0m/s. After the collision, the first ball ends up moving north 20 west with a speed of 5.5m/s. Find the velocity of the second ball after the collision. {2.2m/s [N60W]} 4. Scientists observe an atom splitting apart in a nuclear reaction. One particle of mass 1 unit flies off at 1.6x10'm/s. A second particle also of mass 1 unit flies of at 1.2x10 m/s at an angle of 150 from the first particle. The scientists believe there must be a third particle that they missed. Why is this so? Find the momentum (including direction) of the third particle. (your answer will be in "units-meters per second" {0.85 x 105 unit-m/s [1350 from particle 1]}

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