Calculating Momentum of a Falling Mass: 30.00 kg Object from 4.00m Height

  • Thread starter ckaiser813
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In summary, to find the momentum of a 30.00 kg mass falling from a height of 4.00m, you can either use kinematic equations to find the velocity and then use the formula p=mv, or you can use energy conservation and the formula KE=p^2/2m to find the momentum directly.
  • #1
ckaiser813
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Homework Statement


A 30.00 kg mass falls from a height of 4.00m. The momentum of the mass just before it hits the ground is?


Homework Equations



obviously p=mv

The Attempt at a Solution



I just can't figure out how to get a velocity for this formula?
 
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  • #2
ckaiser813 said:

Homework Statement


A 30.00 kg mass falls from a height of 4.00m. The momentum of the mass just before it hits the ground is?

Homework Equations



obviously p=mv

The Attempt at a Solution



I just can't figure out how to get a velocity for this formula?

Consider one of these kinematic equations:
https://www.physicsforums.com/showpost.php?p=905663&postcount=2
 
  • #3
There are 2 ways to do this.

1) Find the velocity using kinematic equations:
[tex]x = \frac{1}{2}gt^2[/tex]
you know x and g so you can solve for t. After solving for t you can get the velocity from [tex]v=gt[/tex].

2) You can also use energy conservation
[tex]KE=\frac{1}{2}mv^2=PE=mgh[/tex]
and then applying the knowledge of what KE is and momentum is
[tex]KE=\frac{p^2}{2m}[/tex]
to find p directly.
 
  • #4
yes sir that helped me figure out what the book got, thanks a bunch!
 

Related to Calculating Momentum of a Falling Mass: 30.00 kg Object from 4.00m Height

1. What is momentum and how is it calculated?

Momentum is a measure of an object's motion and is calculated by multiplying its mass by its velocity.

2. How does momentum change in a closed system?

In a closed system, momentum is conserved, meaning that it remains constant unless acted upon by an external force.

3. How does mass affect momentum?

The greater the mass of an object, the greater its momentum will be at a given velocity.

4. Can momentum be negative?

Yes, momentum can be negative if the direction of an object's velocity is opposite to the direction of its mass.

5. How is momentum related to force?

According to Newton's Second Law, force is equal to the rate of change of momentum. This means that the greater the force applied to an object, the greater its change in momentum will be.

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