Momentum physics using vectors.

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Homework Help Overview

The discussion revolves around a physics problem involving momentum and kinetic energy in a collision scenario between two blocks. The original poster presents initial and final velocities, along with momentum values, and seeks to calculate various quantities related to momentum and kinetic energy, while assuming conservation of momentum in the absence of external forces.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the notation and calculations related to momentum, questioning the clarity of the original poster's approach. There are inquiries about the format of the answers and the understanding of momentum itself. Some suggest rewriting calculations for better clarity.

Discussion Status

The discussion is ongoing, with participants seeking to clarify the original poster's understanding and approach to the problem. There is an emphasis on needing to see the original poster's thought process to provide effective assistance. Suggestions have been made to follow up on previous advice regarding notation and calculations.

Contextual Notes

The original poster indicates that they are working from a template and have missed relevant class instruction, which may contribute to their confusion about the material.

logan 1234343
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Homework Statement


Block 1 (0.5 kg) travels with an initial velocity of [ 60i ] + [ 40j ] m/s and then collides with block 2 (0.5 kg) traveling with an initial velocity of [ -60i ] + [ -60j ] m/s.
After the collision, block 1 has a final momentum of [ 0i ] + [ 5j ] kg*m/s. Assume that no external forces are present and therefore the momentum for the system of blocks is conserved.

What is the total initial momentum of the system of blocks?
i + j kg*m/s


What is the change in momentum for block 1?
i + j kg*m/s


What is the change in momentum for block 2?
i + j kg*m/s


What is the final momentum of block 2?
i + j kg*m/s
--------------------------------------------------------------------------------
What are the initial kinetic energies of block 1, block 2, and the system of blocks?
Block 1: J
Block 2: J
System of blocks: J


What are the final kinetic energies of block 1, block 2, and the system of blocks?
Block 1: J
Block 2: J
System of blocks: J


What is the change in kinetic energy of the system of blocks due to the collision?
J



Homework Equations



p=mv

The Attempt at a Solution



I tried P1x= -10-40*.5
p1y=0
p2x=2.5-40*.5
where i got the final velocity from m1v1 +m2v2 + etc. =m1v1 +m2v2 + etc.
 
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It helps to be clearer about your notation:
If the initial momentum is ##\vec{p}## and the final is ##\vec{q}## then
##\vec{p}=\vec{p}_1+\vec{p}_2## right?

If ##\vec{u}## and ##\vec{v}## are the initial and final velocities respectively, then:
##\vec{p}_1=m_1\vec{u}_1## etc. but in your case ##m_1=m_2=0.5\text{kg}=m## so ##\vec{p}=m(\vec{u}_1+\vec{u}_2)##

Vector addition using unit vectors works like this:

if ##\vec{u}=u_x\vec{\imath}+u_y\vec{\jmath}## and ##\vec{v}=v_x\vec{\imath}+v_y\vec{\jmath}##;
then ##\vec{u}+\vec{v}=(u_x+v_x)\vec{\imath}+(u_y+v_y)\vec{\jmath}##

Rewrite your calculations like this and they'll probably make more sense.
 
Last edited:
logan 1234343 said:

Homework Statement


Block 1 (0.5 kg) travels with an initial velocity of [ 60i ] + [ 40j ] m/s and then collides with block 2 (0.5 kg) traveling with an initial velocity of [ -60i ] + [ -60j ] m/s.
After the collision, block 1 has a final momentum of [ 0i ] + [ 5j ] kg*m/s. Assume that no external forces are present and therefore the momentum for the system of blocks is conserved.

What is the total initial momentum of the system of blocks?
i + j kg*m/s


What is the change in momentum for block 1?
i + j kg*m/s


What is the change in momentum for block 2?
i + j kg*m/s


What is the final momentum of block 2?
i + j kg*m/s
Are these your answers or just a "template"? Do you mean for each that the answer is supposed to be of the form __ i+ __ j kg*m/s where you are to fill in the blanks? If so, why have you not made any attempt to solve them yourself? Do you know what "momentum" is?

--------------------------------------------------------------------------------
What are the initial kinetic energies of block 1, block 2, and the system of blocks?
Block 1: J
Block 2: J
System of blocks: J


What are the final kinetic energies of block 1, block 2, and the system of blocks?
Block 1: J
Block 2: J
System of blocks: J


What is the change in kinetic energy of the system of blocks due to the collision?
J



Homework Equations



p=mv

The Attempt at a Solution



I tried P1x= -10-40*.5
p1y=0
p2x=2.5-40*.5
where i got the final velocity from m1v1 +m2v2 + etc. =m1v1 +m2v2 + etc.[/QUOTE]
So what did you get? Why are you not showing us what you did and what result you got?
 
Yes this is a "template" for my class. I am to solve for each of the following. I have tried and simply do not understand. I missed this particular class due to illness and haven't managed to understand the material. Least not this part.
My answers weren't submitted because i figured they'd be irrelevant. The computer counted them as wrong. I showed how i got the answers.
 
We don't understand your working as you have written it - we need to see how you are thinking about the problem more clearly in order to best help you. Did you follow the suggestions in post #2?
 

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