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Science Bowl Question

📅 MIT Science Bowl Invitational 2020🎓 HS🔄 Round 11#️⃣ Question 22🌟 BONUS✍️ Short Answer

Yash creates a solar system model consisting of a massless spring with rest length zero fixed at one end and attached to a marble on the other end. The marble moves without friction. Due to the difference between the spring force and gravity, this is not a perfect simulation of the solar system. By name or number, identify all of the following four statements about this system which are generally true: 1) The marble moves in an ellipse 2) The spring sweeps out area at a constant rate 3) The square of the marble's orbital period is proportional to the cube of the semi-major axis of the ellipse

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