Two astronauts on opposite ends of a space ship are comparing lunches. One has a

Question

Two astronauts on opposite ends of a space ship are comparing lunches. One has an apple; the other has an orange. They decide to trade. The first astronaut tosses the 130-g apple towards his coworker with a speed of 1 11 m/s. The 160-g orange [s tossed with a speed of 1.21m/s. Unfortunately, the fruits collide, sending the orange off with a speed of 1.16 m/s at an angle of 42degree with respect to the original direction of motion. Find the final speed and direction of the apple, assuming an elastic collision, G.ve the apple's direction relative to its original direction of motion.

Explanation / Answer

conservation of momentum ma1*va1+mo1*vo1=ma2*va2+mo2*vo2 0.13*1.11(i)+0.16*1.21*(-i)=0.13*v+0.16*1.16*[-cos(42)i+sin(42)j] v=0.68i-0.95j speed=1.17 m/s direction=54.4 degree to the original line of motion

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