Conceptual question on momentum

In summary, the sprinter gains momentum by pushing off from a stationary object. If the blocks weren't fastened to the ground, the momentum would be lost.
  • #1
mizzy
217
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Homework Statement


When a sprinter bursts from the starting blocks, he/she generates considerable forward momentum. Is this an example where momentum is not conserved?


Homework Equations





The Attempt at a Solution


I say yes, because there is no interaction of two systems. The sprinter just pushes off and doesn't act on another object.

Am I correct? Can someone help me elaborate this?

thanks
 
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  • #2
well, if sprinter stands still at first and then gains some speed, then there is a change in momentum. To produce the change in momentum of some body (sprinter in this case) force is needed. But forces always comes in pairs - if some object is pushing sprinter, sprinter must push this object with the same force but in opposite direction (thats Newton's third law). What could this object be? If I'm correct, this object is very very large and massive...
 
  • #3
mizzy said:

Homework Statement


When a sprinter bursts from the starting blocks, he/she generates considerable forward momentum. Is this an example where momentum is not conserved?

Homework Equations


The Attempt at a Solution


I say yes, because there is no interaction of two systems. The sprinter just pushes off and doesn't act on another object.

Am I correct? Can someone help me elaborate this?

thanks

No. The sprinter just pushes off the starting blocks and hence act on another object which is the starting blocks . Start by defining what is included in the system. Earth, starting blocks, athlete, ..
 
  • #4
Let's see if i got this. The system includes the Earth. The sprinter pushes off and exerts a force down on the Earth and therefore generates the forward momentum.

is that a start?
 
  • #5
If the sprinter gains forward momentum, and momentum is always conserved, (no overall gain or loss) then something somewhere else must...?
 
  • #6
does it have to do with Newton's third law? Something else is pushing against the sprinter?

I'm not good at concepts, and i know it's important to understand in order to do the questions.

please help me understand...THANKS
 
  • #7
The questioner is testing your confidence.
He/she is inviting you to make a mistake by handing you the suggestion that 'this is a case where momentum is not conserved'.

What you have to do is to figure out how the sprinter can gain momentum. He has to get it at the expense of some other object.

What would happen if the sprinters blocks were not fastened to the ground properly?
 
  • #8
AJ Bentley said:
The questioner is testing your confidence.
He/she is inviting you to make a mistake by handing you the suggestion that 'this is a case where momentum is not conserved'.

What you have to do is to figure out how the sprinter can gain momentum. He has to get it at the expense of some other object.

What would happen if the sprinters blocks were not fastened to the ground properly?

The sprinter is gaining momentum from pushing off the block. If the blocks weren't fastened then he won't be able to push off.
 
  • #9
Why?
And what would happen to the blocks?
 
  • #10
AJ Bentley said:
Why?
And what would happen to the blocks?

He gains forward momentum when he pushes off from the blocks because he exerts force against it and that generates the momentum.

The blocks would slip.
 
  • #11
If momentum is conserved, how can it be 'generated'? It has to come from somewhere or be balanced by a momentum in the opposite direction.

Keep thinking about the blocks. If the sprinter were in outer space when he pushed off from the blocks what would happen to the blocks?
What would happen if he used BIG blocks.
What would happen if he used some REALLY, REALLY HUGE blocks?
What if he had blocks as big as the earth?
 
  • #12
AJ Bentley said:
If momentum is conserved, how can it be 'generated'? It has to come from somewhere or be balanced by a momentum in the opposite direction.

Keep thinking about the blocks. If the sprinter were in outer space when he pushed off from the blocks what would happen to the blocks?
What would happen if he used BIG blocks.
What would happen if he used some REALLY, REALLY HUGE blocks?
What if he had blocks as big as the earth?

The blocks would push back against the sprinter. According to Newton's third law, there is a reaction to an action.

The bigger the blocks, the more force is exerted.

??
 

FAQ: Conceptual question on momentum

What is momentum?

Momentum is a measure of an object's motion, taking into account both its mass and velocity. It is a vector quantity, meaning it has both magnitude and direction.

How is momentum calculated?

Momentum is calculated by multiplying an object's mass by its velocity. The equation for momentum is: p = m * v, where p is momentum, m is mass, and v is velocity.

What is the difference between momentum and inertia?

Inertia is an object's resistance to change in motion, while momentum is a measure of an object's motion. In other words, inertia is a property of an object, while momentum is a property of an object in motion.

How does momentum affect collisions?

In a collision, momentum is conserved, meaning the total momentum before the collision is equal to the total momentum after the collision. This can help determine the direction and speed of objects after a collision.

Can momentum be negative?

Yes, momentum can be negative. This indicates that the object is moving in the opposite direction of its chosen positive direction. It is important to specify a positive direction when using momentum in calculations.

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