Masses placed on platforms, with compressed spring under them.

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SUMMARY

In the discussion, two balls with masses m1 and m2 are placed on platforms with springs of identical force constants and compression. When the platform of the first ball is released, it reaches its maximum height in 4 seconds. The challenge is to determine the time it takes for the second ball to reach its maximum height, considering the time taken for the spring to restore its length before the balls lose contact with the platforms. The spring potential energy formula, Spring PE = 1/2 kx², is relevant for solving this problem.

PREREQUISITES
  • Understanding of spring potential energy and the formula Spring PE = 1/2 kx²
  • Basic knowledge of kinematics, specifically time of flight for projectile motion
  • Familiarity with the concept of mass and gravitational effects on motion
  • Ability to analyze forces acting on objects in motion
NEXT STEPS
  • Calculate the time taken for the spring to restore its length using Hooke's Law
  • Explore the relationship between spring compression and the resulting velocity of the masses
  • Learn about the dynamics of projectile motion to determine maximum height
  • Investigate the effects of different mass values on the time of ascent
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and dynamics, as well as educators seeking to clarify concepts related to spring forces and projectile motion.

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Homework Statement



Two balls of masses m1& m2 are placed on different platforms, which are subjected to springs of same force constant and same compression. (springs are under platforms, basically like launch pads to fire the balls into the air). When the platform of first ball is released, m1 rises to maximum height in 4 seconds. Find the time in which the other ball will rise to it's maximum height

T1 = 4 s

Homework Equations



Spring PE = 1/2 kx2


The Attempt at a Solution



I tried solving the problem neglecting the time taken for the spring restore it's length,(only considering time of flight, after ball loses contact with platform)
But the answer doesn't seem to match.

I'm unable to calculate time taken for spring to restore it's length.
I hope someone can give me some direction on how to proceed.
 
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Hey...
Do you mean that the ball/whatever leaves the platfrom immediately upon release?
Please clarify, before we can proceed, how each of the masses behaves after the springs are free to operate.
Thanks,
Daniel
 
The balls are initially at rest on the platforms when they are compressed.
They loose contact only after the spring has restored it's length
 

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