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?

Question

Zachery Fitzgerald

Physics

16 April, 08:13

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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Deborah · Answer 1

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