Calculating the max distance of compression of the spring HELP

urgent
Messages
16
Reaction score
0
Calculating the max distance of compression of the spring please HELP!

Homework Statement


A 2.0 kg block is dropped from a height of 40 cm onto a spring of force constant k = 1960 N/m. The maximum distance the spring is compressed is?


Homework Equations


I Used the equation W=mgh and W=1/2kx^2..


The Attempt at a Solution


i did..
W=2*9.8*0.4
=7.84
then i used
7.84=1/2*1960*x^2
from which i got x=0.0894427191
then i did
7.84*0.0894427191=0.7012309177
then i did
7.84-0.7012309177=7.13879

can anyone please help me tel where i went wrong? because the answer to this question is 10 but i don't know how to get it..please help=].
 
Physics news on Phys.org


There is extra gravitational potential energy from the distance through which the spring drops through while touching the spring. In other words, the total distance that the object drops is 40 cm plus however far the spring compresses.
 

Thread 'Initial conditions for orbits around a wormhole'

Hi, I had an exam and I completely messed up a problem. Especially one part which was necessary for the rest of the problem. Basically, I have a wormhole metric: $$(ds)^2 = -(dt)^2 + (dr)^2 + (r^2 + b^2)( (d\theta)^2 + sin^2 \theta (d\phi)^2 )$$ Where ##b=1## with an orbit only in the equatorial plane. We also know from the question that the orbit must satisfy this relationship: $$\varepsilon = \frac{1}{2} (\frac{dr}{d\tau})^2 + V_{eff}(r)$$ Ultimately, I was tasked to find the initial...
View full post »

Thread 'Help to convert units of a simple formula'

The value of H equals ## 10^{3}## in natural units, According to : https://en.wikipedia.org/wiki/Natural_units, ## t \sim 10^{-21} sec = 10^{21} Hz ##, and since ## \text{GeV} \sim 10^{24} \text{Hz } ##, ## GeV \sim 10^{24} \times 10^{-21} = 10^3 ## in natural units. So is this conversion correct? Also in the above formula, can I convert H to that natural units , since it’s a constant, while keeping k in Hz ?
View full post »

Similar threads

Why is my method for finding the spring constant incorrect?
Replies
17
Views
3K
B Why is my experimental spring constant an order of magnitude off?
Replies
4
Views
1K
Variable pitch spring calculations
Replies
1
Views
2K
What is the Maximum Compression of the Spring?
Replies
1
Views
2K
How to Find Maximum Spring Compression from Dropped Mass?
Replies
15
Views
39K
How to find the max. compression of a spring given a block on an incline?
Replies
17
Views
6K
Find elastic energy in the compressed spring.
Replies
12
Views
3K
Conservation: Mass Dropped onto a Spring, Find the Compression
Replies
9
Views
2K
A block of mass m is dropped onto the top of a vertical spring....
Replies
8
Views
5K
Problem with when to use Force and Energy. What compresses spring/
Replies
3
Views
1K

Hot Threads

Recent Insights

Back
Top