• Support PF! Buy your school textbooks, materials and every day products Here!

An ice cube goes up a ramp

  • Thread starter Ritzycat
  • Start date
  • #1
171
4
Question statement
A 55g ice cube can slide without friction up and down a 25∘slope. The ice cube is pressed against a spring at the bottom of the slope, compressing the spring 10cm . The spring constant is 25N/m. When the ice cube is released, what distance will it travel up the slope before reversing direction?

Relevant equations
[itex]PE_s = PE_g[/itex]
[itex]PE_s = 1/2kx^2[/itex]
[itex]PE_g = mgh[/itex]

Attempt at a solution
Maximum height is when all energy is converted to gravitational potential energy (frictionless environment)

Thus,

[itex]PE_s = PE_g[/itex]

[itex]1/2kx^2 = mgh[/itex]

[itex]1/2(25N/m)(0.1m)^2 = (0.055kg)(9.8m/s^2)(h)[/itex]

[itex]h = 0.23m[/itex] or [itex] 23 cm[/itex]
(Answer is asked for in cm)

Not sure what I am doing wrong here...
 

Answers and Replies

  • #2
Orodruin
Staff Emeritus
Science Advisor
Homework Helper
Insights Author
Gold Member
16,700
6,473
You computing the height, not the distance along the slope.
 
  • #3
171
4
I'm so silly. I need to learn to read questions further before answering something different.

Distance up slope would be
[itex]0.23(sin 35°) = 0.40m = 40cm[/itex]

but thats not right!!!

How do I compute the distance up the slope?
 
  • #4
NTW
302
26
Wasn't it a 25º slope?
 
  • #5
171
4
Yes, it was... Thanks...

:nb)
 

Related Threads on An ice cube goes up a ramp

  • Last Post
Replies
1
Views
1K
  • Last Post
Replies
11
Views
1K
  • Last Post
Replies
11
Views
11K
  • Last Post
Replies
4
Views
3K
Replies
5
Views
4K
  • Last Post
Replies
3
Views
3K
  • Last Post
Replies
1
Views
686
Replies
2
Views
1K
  • Last Post
Replies
4
Views
7K
  • Last Post
Replies
5
Views
5K
Top