Centre of mass, collision, momentum

Click For Summary
SUMMARY

The discussion focuses on the dynamics of two blocks, m1 and m2, connected by an ideal spring with force constant k, subjected to a horizontal force F on block m1. The maximum elongation of the spring occurs when both blocks achieve the same velocity. The conservation of energy principle is applied to derive the relationship between the force, mass, and spring elongation, although the initial equations presented contain multiple variables that complicate the solution process.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Familiarity with the conservation of energy principle
  • Knowledge of spring mechanics and Hooke's law
  • Basic algebra for solving equations with multiple variables
NEXT STEPS
  • Study the conservation of momentum in collision scenarios
  • Learn about Hooke's law and its applications in spring systems
  • Explore energy transfer in mechanical systems
  • Investigate the effects of friction on spring dynamics
USEFUL FOR

Physics students, mechanical engineers, and anyone interested in understanding the principles of dynamics, collision, and energy conservation in mechanical systems.

karanbir
Messages
6
Reaction score
0
Two blocks m1 and m2 are connected by an ideal spring of force constant k. The blocks are placed on smooth horizontal surface. A horizontal force F acts on the block m1. Initially spring is relaxed, both the blocks are at rest.
What is maximum elongation of spring?

i think it would be when both the objects are moving with same velocity, so i applied law of conservation of energy but the equation has too many variables.
 
Physics news on Phys.org
Please honour us with your working so far.
 

Similar threads

Distribution of Energy when work is done on a system of 2 masses connected by a spring
  • · Replies 17 ·
Replies
17
Views
2K
Free Body Diagram of Mass-Spring System
  • · Replies 5 ·
Replies
5
Views
2K
Spring momentum conservation problem
  • · Replies 4 ·
Replies
4
Views
2K
Why is my solution to finding the spring constant incorrect?
  • · Replies 3 ·
Replies
3
Views
2K
Is Linear Momentum Conserved in This Case? (sliding box hits a floor tile)
  • · Replies 2 ·
Replies
2
Views
1K
Kleppner - blocks and a compressed spring
  • · Replies 3 ·
Replies
3
Views
3K
How do I solve for an elastic collision going up a ramp?
  • · Replies 10 ·
Replies
10
Views
4K
Find the acceleration of the system (2 blocks sliding on a table)
  • · Replies 23 ·
Replies
23
Views
3K
How Does a Force Affect Spring Length Between Two Equal Mass Blocks?
  • · Replies 2 ·
Replies
2
Views
2K
Elastic collision between two balls with different masses
  • · Replies 8 ·
Replies
8
Views
5K