Algebraic expressions for the amount of time that elapses

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SUMMARY

The discussion focuses on deriving an algebraic expression for the time elapsed between collisions of a gas molecule with wall B in a box. The molecule, with inertia m, travels at a constant speed v over a distance l. The correct expression for the time between collisions is derived as t = l/v, where t represents time, l is the distance to wall B, and v is the constant speed of the molecule. The equation Δp = -2mv is mentioned but is not directly relevant to the time calculation.

PREREQUISITES
  • Understanding of basic physics concepts, specifically motion and collisions.
  • Familiarity with algebraic manipulation and unit conversion.
  • Knowledge of the relationship between distance, speed, and time.
  • Basic understanding of momentum, particularly the equation Δp = -2mv.
NEXT STEPS
  • Study the principles of classical mechanics related to motion in one dimension.
  • Explore the concept of elastic collisions and their implications in gas behavior.
  • Learn about the ideal gas law and its relation to molecular motion.
  • Investigate the derivation of equations of motion in physics, focusing on time, distance, and speed relationships.
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Students studying physics, particularly those focusing on mechanics, as well as educators and tutors looking for clear explanations of motion and collision concepts.

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Homework Statement


A single gas molecule of inertia m is trapped in a box and travels back and forth with constant speed v between opposite walls A and B a distance l apart. At each collision with a wall, the molecule reverses direction without changing speed.Write algebraic expressions for the amount of time that elapses between collisions with wall B.

Homework Equations


Δp=-2mv

The Attempt at a Solution


i know that the equation does not depend on mv, and must involve l and v. I believe that the equation should be something along the lines of 2lv. can anyone work through this to make sure it is correct with me
 
Physics news on Phys.org
v is given in distance/time, so an expression for time would require distance divided by v to get units in time.
 
RUber said:
v is given in distance/time, so an expression for time would require distance divided by v to get units in time.
thank you i already solve the question on my own though
 

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