#1 Nothing but soccer Two lonely soccer balls in outer space feel nothing but their mutual attraction. In the beginning they have a distance of 20 km and a mass of 440 g with a diameter of 22 cm. What is each ball’s momentum just before they collide as potential energy is converted into kinetic energy? How large are the accelerations of the balls when they start moving and just before they collide? Find the acceleration as a function of distance a(r). Compute the times they would travel before they collide according to the initial and final accelerations. How large are the balls’ velocities just after the collision if the collision was elastic and if the collision was (fully) inelastic? m [ = 6.67 · 10-11 kg. 52 Momentum a(r) a at the before start collision a before collision points Potential energy difference Time interval v until collision elastic (both) inelastic (both) see above /27 15 5 الارا 2 /2 14 15 13 3 الرا

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The antarctic ice has a volume of 26.37 million cubic kilometers. It does not contribute to the earth’s moment of inertia so close to the rotation axis. However, if it melts and distributes evenly at the surface, the inertia is modified. Consequently, the rotation time of the earth changes. How much shorter or longer will a day become? Keep in mind that 10% of floating ice is above the water surface; water has a density of 1 kg/dm³. The total mass of the earth is 6.4*1024 kg, its radius is 6370 km

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