Particle dropped on platform with spring - Compression of springs

Click For Summary
SUMMARY

A particle with a mass of 100g dropped from a height of 24cm compresses a light elastic spring by 1cm. To achieve a compression of 4cm, the particle must be dropped from a height of 396cm. This conclusion is derived from the principle of conservation of energy, which states that the total mechanical energy (kinetic plus potential) remains constant throughout the motion.

PREREQUISITES
  • Understanding of conservation of energy principles
  • Basic knowledge of elastic potential energy
  • Familiarity with gravitational potential energy calculations
  • Concept of spring compression and Hooke's Law
NEXT STEPS
  • Study the conservation of mechanical energy in physics
  • Learn about Hooke's Law and its applications in spring mechanics
  • Explore calculations involving gravitational potential energy
  • Investigate the effects of mass and height on spring compression
USEFUL FOR

Physics students, educators, and anyone interested in mechanics and energy conservation principles in spring systems.

rasa
Messages
1
Reaction score
0
A massless platform is kept on a light elastic spring.
When a particle of mass 100g is dropped on the platform from a hieght of 24cm it strikes the platform and compresses the spring by 1cm.
From what hieght should the particle be dropped to cause a compression of 4cm?
[text book answer: 396cm]
 
Physics news on Phys.org
Use the fact that energy (kinetic + potential) is conserved.
 

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
Conservation: Mass Dropped onto a Spring, Find the Compression
  • · Replies 9 ·
Replies
9
Views
2K
A block of mass m is dropped onto the top of a vertical spring....
  • · Replies 8 ·
Replies
8
Views
6K
Problem with when to use Force and Energy. What compresses spring/
  • · Replies 3 ·
Replies
3
Views
2K
Question about springs and rotational/translational energy
  • · Replies 4 ·
Replies
4
Views
2K
Collision of Objects Dropped from Different Heights with Spring Compression
  • · Replies 7 ·
Replies
7
Views
3K
Solving a Spring-Mass-Box System:Energy Conservation
  • · Replies 1 ·
Replies
1
Views
2K
Question about the conservation of mechanical energy
  • · Replies 7 ·
Replies
7
Views
2K
Quadratic equation for maximum compression of a spring
  • · Replies 3 ·
Replies
3
Views
3K
Height of falling object vs. compression of spring
  • · Replies 1 ·
Replies
1
Views
2K