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15 July, 12:49

The heaviest wild lion ever measured had a mass of 313 kg. Suppose this lion is walking by a lake when it sees an empty boat floating at rest near the shore. The curious lion jumps into the boat with a speed of 6.00 m/s, causing the boat with the lion in it to move away from the shore with a speed of 2.50 m/s. How much kinetic energy is dissipated in this inelastic collision?

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  1. 15 July, 13:05
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    The kinetic energy dissipated is 3286.5 J

    Explanation:

    K. E before collision = 1/2m1v1^2 = 1/2*313*6^2 = 5634 J

    K. E after collision = 1/2 (m1+m2) v2^2

    From the law of conservation of momentum:

    m1+m2 = m1v1/v2 = 313*6/2.5 = 751.2 kg

    K. E after collision = 1/2*751.2*2.5^2 = 2347.5 J

    K. E dissipated = 5634 J - 2347.5 J = 3286.5 J
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