Does Changing Mass Affect Velocity and Momentum?

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SUMMARY

The discussion centers on the relationship between mass, velocity, and momentum, defined by the equation momentum (p) = mass (m) x velocity (v). It is established that if mass decreases while momentum remains constant, velocity must increase, and vice versa. For example, a car with a mass of 500 kg moving at 1 m/s has a momentum of 500 kg·m/s, which decreases to 450 kg·m/s when the velocity drops to 0.9 m/s. The discussion clarifies that changes in mass directly affect velocity and momentum, provided momentum is held constant.

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  • Understanding of the momentum formula: p = m x v
  • Basic knowledge of mass and velocity concepts
  • Familiarity with units of measurement (kg, m/s)
  • Ability to perform basic algebraic calculations
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  • Study the implications of conservation of momentum in collisions
  • Learn about the effects of mass and velocity changes in different physical systems
  • Explore real-world applications of momentum in automotive physics
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Students of physics, educators teaching mechanics, and anyone interested in understanding the principles of momentum and its applications in real-world scenarios.

HazelDryad
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I am a little confused about how momentum works.

If the mass were to increase, would the velocity also increase?
If the mass were to increase, would the momentum also increase?
If the mass was to decrease, would the velocity also decrease?
If the velocity was to increase, would the momentum also increase?

I was told that if mass were to decrease, then the velocity would actually increase. I'm not sure if this is true, so if someone could answer these questions, I'd appreciate it!
 
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Hi there

Hope this is acurate, and might be worth double checking.

What I know is momentum = mass x velocity
Call momentum p

Lets take a car with mass 500kg movin at velocity 1m/s
p = m x v
= 500 x 1
= 500 kg.m/s

Now the same mass at a slower velocity of 0.9m/s
p = m x v
= 500 x 0.9
= 450 kg.m/s
here we have a decrease in p

Now let's look at a bullet with mass 5g moving at 400m/s
p = m x v
= 0.005 x 400
= 2 kg.m/s
So the the momentum is not great here
 
If you are keeping momentum constant, then, as the equation dictates, if mass goes down, velocity must go up. if velocity goes down, then mass must go up. once again, this is only if momentum is constant.

p=mv
 

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