Calculate recoil velocity using conservation of momentum

In summary, the problem involves a 70.0-kg man and a 55.0-kg woman standing on ice skates facing each other. The woman pushes the man backwards with an average force that results in a final speed of 1.50 m/s for the man. The woman's recoil speed can be calculated using Newton's third law and the conservation of momentum formula. To solve part c, the kinematics equations and the impulse formula can be used to determine the woman's subsequent speed after throwing her 2.50-kg purse at the man at a 20.0° angle above the horizontal and at 4.20 m/s relative to the ground.
  • #1
marcosdannyjp
2
0

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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  • #2
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.
 
  • #3
V(55)=2.5(2.45)cos20
 
  • #4
V(55Kg)=2.50Kg(4.20m/s)cos20
 
  • #5
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:
 

What is conservation of momentum and how does it relate to recoil velocity?

Conservation of momentum is a fundamental principle in physics that states that the total momentum of a system remains constant in the absence of external forces. Recoil velocity is the result of this principle, as the momentum of the object being launched backwards is equal and opposite to the momentum of the object being propelled forward.

What is the formula for calculating recoil velocity using conservation of momentum?

The formula for calculating recoil velocity is: m1v1 = m2v2, where m1 is the mass of the object being launched, v1 is its initial velocity, m2 is the mass of the object being propelled forward, and v2 is its final velocity.

Are there any assumptions or limitations when using conservation of momentum to calculate recoil velocity?

Yes, there are a few assumptions and limitations when using this principle. First, it assumes that the system is closed, meaning there are no external forces acting on the objects. It also assumes that the objects are rigid and have no internal forces acting on them. Additionally, the conservation of momentum only applies to linear motion and does not account for rotational motion.

How can I use conservation of momentum to calculate recoil velocity in a real-world scenario?

To use conservation of momentum to calculate recoil velocity in a real-world scenario, you will need to know the masses of the objects involved and their initial velocities. You will also need to ensure that the system is closed and that there are no external forces acting on the objects. Once you have this information, you can use the formula mentioned earlier to calculate the recoil velocity.

Can conservation of momentum be used to calculate recoil velocity in both elastic and inelastic collisions?

Yes, conservation of momentum can be used to calculate recoil velocity in both elastic and inelastic collisions. However, in elastic collisions, the objects involved will bounce off of each other and their velocities will be conserved. In inelastic collisions, the objects will stick together and their velocities will not be conserved. Therefore, the calculation for recoil velocity may differ slightly depending on the type of collision.

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