Proving initial speed of a particle

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SUMMARY

The discussion focuses on proving the initial speed of particle A, which is 1.04 m/s, when particle B falls from a table. Particle A has a mass of 1 kg and is connected to particle B, which has a mass of 0.5 kg, via a light inextensible string. The problem utilizes the equation of motion v² = v₀² + 2gh to determine the speed of particle B just before it pulls particle A. The conservation of momentum principle is then applied to find the resultant speed of particle A.

PREREQUISITES
  • Understanding of Newton's second law (F = ma)
  • Familiarity with the equations of motion under constant acceleration
  • Knowledge of conservation of momentum principles
  • Basic concepts of gravitational potential energy
NEXT STEPS
  • Study the derivation and applications of the equation v² = v₀² + 2gh in physics
  • Explore conservation of momentum in inelastic collisions
  • Learn about gravitational potential energy and its conversion to kinetic energy
  • Investigate the effects of mass and distance on motion dynamics
USEFUL FOR

Students studying physics, particularly those focusing on mechanics, as well as educators seeking to explain concepts of motion and momentum in practical scenarios.

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Homework Statement


Particle A of mass 1kg is at rest 0.2m from the edge of a smooth horizontal table 0.8m high. It is connected by a light inextensible string of length 0.7m to particle B of mass 0.5kg. Particle B is initially at rest at the edge of table closest to A but then falls out. Assuming B's initial horizontal velocity is zero, prove that speed which A begins to move is 1.04m/s


Homework Equations


F = ma
Momentums : m(v-u) etc.


The Attempt at a Solution


I solved it before, but I can't seem to remember how to =(
 
Last edited:
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do you know this equation:
[tex]v^{2}=v^{2}_{0}+2gh[/tex]
which can be derived from equation of motion in straight line with constant acceleration. You can use it to find speed of B at the moment when it starts to pull ball A. When you have this velocity, use conservation of momentum.
 

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