Two people, George who has a mass of 93.0 kg and Victoria who has a mass of 60.0 kg, are on a frozen circular pond. They stand at the very centre and push off of each other. The distance from one side of the pond to the other is 83.0 m and it takes George 15.0 s to reach the edge of the pond. How long does it take Victoria to reach the edge of the pond?

1 answer

get speeds from conservation of momentum
93 g = 60 v

15 g + v t = 83

15 g = 83/2
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so
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g = 83/30 = 2.77
v = 93/60 *83/30
= 4.29
v t = 41.5
t = 9.67 seconds

check
9.67 * 4.29 = 41.5
15 * 2.77 = 41.55
v/g = 4.29/2.77 = 1.55
93/60 = 1.55 ok