Calculate recoil velocity using conservation of momentum

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SUMMARY

This discussion focuses on calculating the recoil velocity of a woman after she throws a purse while standing on ice skates, utilizing the principles of conservation of momentum. The scenario involves a 70.0-kg man and a 55.0-kg woman, with the woman pushing the man at a final speed of 1.50 m/s and the purse weighing 2.50 kg thrown at a 20.0° angle at 4.20 m/s. The average force exerted during the push is calculated using impulse and momentum change, leading to the woman's recoil speed being determined as 2.09 m/s.

PREREQUISITES
  • Understanding of Newton's 2nd and 3rd laws of motion
  • Familiarity with conservation of momentum principles
  • Knowledge of impulse and its calculation using the formula F*delta t = impulse
  • Basic kinematics equations for motion analysis
NEXT STEPS
  • Study the conservation of momentum in two-dimensional collisions
  • Learn about impulse-momentum theorem applications in various scenarios
  • Explore kinematic equations for projectile motion, especially at angles
  • Review examples of force calculations using average force and time of contact
USEFUL FOR

This discussion is beneficial for physics students, educators, and anyone interested in understanding the application of momentum conservation in real-world scenarios, particularly in collision and recoil problems.

marcosdannyjp
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Homework Statement


A 70.0-kg man and a 55.0-kg woman holding a 2.50-kg purse on ice skates stand facing each other.

(a) If the woman pushes the man backwards so that his final speed is 1.50 m/s, with what average force did she push him,

assum ing they were in contact for 0.500 s? (b) What is the woman's recoil speed? (c) If she now throws her 2.50-kg purse

at him at a 20. 0° angle above the horizontal and at 4.20 m/s relative to the ground, what is her subsequent speed?

I know part a and b, but I need help with part c.

Homework Equations


kinematics equations
Newton's 2nd and 3rd law
conservation of momentum formula
impulse formula F*delta t= impulse = change in momentum

The Attempt at a Solution


the answer should be
2.09 m/s[/B]
 
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Hi marcosdannyjp.

You need to show what you've tried so far, even if you didn't reach a satisfactory result. Helpers can't help you without first seeing your effort.
 
V(55)=2.5(2.45)cos20
 
V(55Kg)=2.50Kg(4.20m/s)cos20
 
amsabir094 said:
V(55)=2.5(2.45)cos20
amsabir094 said:
V(55Kg)=2.50Kg(4.20m/s)cos20
Welcome to PF.

It's okay for you to post solutions for very old threads like this, but please keep in mind that we don't post solutions for homework threads that are still active. We provide hints, etc., but the student must do the bulk of the work.

Thanks! :smile:
 

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