Reddit reviews Ajax Scientific ME170-1000 Steel Deluxe Hooked Weight, 1kg
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1-kilogram Deluxe hook weightMade of steelFor general science and physics laboratory work
Not sure about the wording of this question but, assuming the meter sticks are pine Wood with a weight of 530 kg/meter^3. We will also assume the size is one meter by 1"(2.54cm) by 1/4"(0.635cm). That gives us 161.29cm^3 per meter stick. Multipling that by 300 gets you 48387cm^3 or 0.048387m^3. So if one meter of pine is 530kg than 4.8387% of that is 25.6361kg.
Now for the distance, assuming you are using 90 1 kg weights and placing them on the longest side the length is 4.9"( 12.446cm) per kg. 12.446cm times 90 equals 1,120.14cm or 11.2014 meters.
So yes a trebutchet can launch 300 meters (25.6361kg) over 90kg (11.2014m).