Solving for the Distance of Fall for 4kg Block

  • Thread starter Thread starter redhot209
  • Start date Start date
  • Tags Tags
    Block Fall
Click For Summary
SUMMARY

The discussion focuses on calculating the distance a 4 kg block falls when suspended from a spring, initially stretched by a 3 kg block. The equilibrium stretch of the spring is 6 cm for the 3 kg block. When replaced by the 4 kg block, the distance of fall before reversing direction is determined using the equation Y2 = Y1(M2/M1), leading to a calculated fall of 8 cm. The acceleration due to gravity is specified as 9.8 m/s², which is essential for understanding the forces involved.

PREREQUISITES
  • Understanding of Hooke's Law and spring mechanics
  • Basic knowledge of gravitational acceleration (9.8 m/s²)
  • Familiarity with mass and weight concepts
  • Ability to manipulate equations involving ratios and proportions
NEXT STEPS
  • Study the principles of oscillation and amplitude in spring systems
  • Learn about energy conservation in mechanical systems
  • Explore the derivation of the spring constant and its applications
  • Investigate the effects of mass on spring displacement and oscillation frequency
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and oscillatory motion, as well as educators seeking to enhance their understanding of spring dynamics and gravitational effects.

redhot209
Messages
12
Reaction score
0

Homework Statement


A block of mass 3 kg is hung from a spring, causing it to stretch 6 cm at equilibrium, as shown below. The 3 kg block is then replaced by a 4 kg block, and the new block is released from the position shown below, at which point the spring is unstretched. How far will the 4 kg block fall before its direction is reversed? Hint: for the new block case, the total distance of fall is twice the amplitude of the oscillation. The acceleration of gravity is 9.8 m/s2


Homework Equations


My teacher give me this equation. Y2= Y1(M2/M1)


The Attempt at a Solution


Y2=6(3/4) = 8
 
Physics news on Phys.org
redhot209 said:

Homework Statement


A block of mass 3 kg is hung from a spring, causing it to stretch 6 cm at equilibrium, as shown below. The 3 kg block is then replaced by a 4 kg block, and the new block is released from the position shown below, at which point the spring is unstretched. How far will the 4 kg block fall before its direction is reversed? Hint: for the new block case, the total distance of fall is twice the amplitude of the oscillation. The acceleration of gravity is 9.8 m/s2


Homework Equations


My teacher give me this equation. Y2= Y1(M2/M1)


The Attempt at a Solution


Y2=6(3/4) = 8

Explain your reasoning. There's lots of fun physics in this problem... and you aren't discussing it! (Your answer also doesn't have units... and you don't seem to know where the equation comes from. I honestly don't either. I'd trace through things I do know, about stretch, energy stored, force...
 

Similar threads

  • · Replies 9 ·
Replies
9
Views
2K
Replies
9
Views
3K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 5 ·
Replies
5
Views
3K
  • · Replies 1 ·
Replies
1
Views
4K
  • · Replies 18 ·
Replies
18
Views
2K
  • · Replies 6 ·
Replies
6
Views
2K
  • · Replies 10 ·
Replies
10
Views
4K
  • · Replies 20 ·
Replies
20
Views
4K
  • · Replies 33 ·
2
Replies
33
Views
4K