Variation of mass in a system and acceleration

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SUMMARY

The discussion centers on the concept of mass variation in a system and its effect on velocity, specifically using the example of a freight car receiving sand. It is established that the decrease in velocity is not solely due to the increasing mass but is significantly influenced by frictional forces acting on the freight car. The conversation highlights two perspectives: one where the addition of zero-velocity sand reduces the average velocity of the system, and another where friction is considered an external force affecting the car's motion. Ultimately, the conclusion is that both mass increase and friction play critical roles in the observed deceleration.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Familiarity with the concept of conservation of linear momentum
  • Basic knowledge of friction and its effects on motion
  • Ability to analyze systems and boundaries in physics
NEXT STEPS
  • Explore the principles of Newton's second law of motion
  • Study the effects of friction in different physical systems
  • Investigate conservation of momentum in varying mass systems
  • Examine real-world applications of mass variation in engineering contexts
USEFUL FOR

Students of physics, engineers, and anyone interested in understanding the dynamics of systems with varying mass and the role of friction in motion.

Soren4
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Is it really possible for a system to decrease its velocity with no forces acting on it, just because the mass in it is "varying"?

Consider for example a freight car and a hooper from which sand is released into the car. The freight car will decrease its initial velocity if there is no force supplied, but that's not because its mass is increasing, but because the sand that comes into the freight car produces friction with it (equivalently "tries" to be accelerated) and the friction force is the one that makes the velocity of the freight car decrease.

So actually there is a force, which cause the acceleration (deceleration). Is this correct? Or it is really just the increasing of mass that change the velocity of the freight car?
 
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Soren4 said:
Is it really possible for a system to decrease its velocity with no forces acting on it, just because the mass in it is "varying"?

Consider for example a freight car and a hooper from which sand is released into the car. The freight car will decrease its initial velocity if there is no force supplied, but that's not because its mass is increasing, but because the sand that comes into the freight car produces friction with it (equivalently "tries" to be accelerated) and the friction force is the one that makes the velocity of the freight car decrease.

So actually there is a force, which cause the acceleration (deceleration). Is this correct? Or it is really just the increasing of mass that change the velocity of the freight car?
I know a physical explanation would be more affective, but mathematically, conservation of linear momentum would cause the velocity to decrease even if mass just appeared in the freight car.
 
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Here are two physical explanations. Pick one that feels right.

Draw the boundary for the system containing the freight car between the sand that is still falling and the sand which has just hit the pile and has not yet finished sliding to rest. The freight car loses velocity because the average velocity of its contents is decreased by the addition of the new zero-velocity sand. The force of friction does not enter in because it is an internal force.

Draw the boundary for the system containing the freight car between the sand which is sliding to rest and the sand that has finished settling. The freight car loses velocity from friction. Under this description, the friction is an external force. The averaging effect does not enter in because the sand that moves from outside the system to inside is at zero velocity relative to the car.
 
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