# Two astronauts on opposite ends of a spaceship are comparing lunches. one has an apple, the other has an orange. They decide to trade. Astronaut 1 tosses the .13kg apple towards astronaut 2 with a speed of 1.11 m/s. The .16kg orange is tossed from astronaut 2 to astronaut 1 with a speed of 1.21 m/s. Unfortunately the fruits collide, sending the orange off with a speed of 1.16 m/s at an angle of 42degrees. find the speed and direction of the apple, assuming an elastic collision. Please solve using conservation of momentum.

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Two astronauts on opposite ends of a spaceship are comparing lunches. one has an apple, the other has an orange. They decide to trade. Astronaut 1 tosses the .13kg apple towards astronaut 2 with a speed of 1.11 m/s. The .16kg orange is tossed from astronaut 2 to astronaut 1 with a speed of 1.21 m/s. Unfortunately the fruits collide, sending the orange off with a speed of 1.16 m/s at an angle of 42degrees. find the speed and direction of the apple, assuming an elastic collision. Please solve using conservation of momentum.

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Step 1

Consider that the line connecting them as x-axis and perpendicular to it as y-axis. Also, assume that direction from 1 to 2 is positive and 2 to 1 is negative.

Final velocity of the orange along x and y direction is:

Step 2

Apply the conservation of momentum along x-direction.

Step 3

Apply the conservation of mome...

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