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Q. A child in a boat throws a 3.50 kg package out horizontally with a speed of 15m/s. Calculate the velocity of the boat immediately after, assuming it was initially at rest. The mass of the child is 25kg and that of the boat is 70kg. Ignore water resistance.

Q. The free-fall acceleration on the moon is 1.62 {rm{ m/s}}^{rm{2}}. What is the length of a pendulum whose period on the moon matches the period of a 1.80 m long pendulum on the earth?

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