Conservation of Momentum of a boat and women

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SUMMARY

The discussion centers on a physics problem involving the conservation of momentum in a system comprising a boat, a man, and a woman. The participants analyze the scenario where a 180 lb man and a 120 lb woman dive off a 300 lb boat, each with a velocity of 16 ft/s relative to the boat. The calculations reveal discrepancies in the final velocity of the boat after both divers have jumped, with the correct final velocity being -9.2 ft/s, contrary to the user's calculation of -16 ft/s. The confusion arises from the use of relative velocities in the momentum equations.

PREREQUISITES
  • Understanding of conservation of momentum principles
  • Knowledge of relative velocity concepts
  • Basic algebra for solving equations
  • Familiarity with physics problem-solving techniques
NEXT STEPS
  • Study the conservation of momentum in multi-body systems
  • Learn about relative velocity and its applications in physics
  • Practice solving problems involving momentum transfer
  • Review the principles of dynamics related to diving and motion
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and momentum, as well as educators seeking to clarify concepts related to relative motion and conservation laws.

negatifzeo
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Homework Statement


I'm getting fairly frustrated seeing as I've been working on this 'easy' problem for several hours yet still can't get the correct solution. The problem is as follows:
A 180 lb- man and a 120-lb woman stand side by side at the same end of a 300-lb boat, ready to dive, each with a 16 ft/s velocity relative to the boat. Determine the velocity of the boat after they have both dived if the woman dives first.


Homework Equations


Total initial momenta=total final momenta


The Attempt at a Solution



First, the woman dives.
0=480(v) +120(16) b=-4 ft/s

Second, the man dives:
(300+180)(-4)=(180)(16)+300(Vf) I keep getting Vf=-16, the book says it is supposed to be -9.2. Can anyone tell me what I am doing wrong?
 
Physics news on Phys.org
You have used velocity of man relative to boat in an eqn. along with velocities w.r.t ground?
 

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