Spring Constants, Work, and Force

Click For Summary

Homework Help Overview

The problem involves a scenario where a skateboarder uses a spring to launch off a ramp, with specific parameters including mass, spring constant, ramp angle, and length. The questions focus on whether the skateboarder will clear the ramp, the maximum height achieved, and the speed upon entering the ramp, while applying principles of energy conservation.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the relationship between the height achieved and the ramp's height to determine if the skateboarder will clear the ramp. There is also confusion regarding the terminology used in the problem, particularly what "it" refers to in the context of speed.

Discussion Status

Some participants have provided insights into the relationships between the questions, particularly linking the height achieved to the ramp's height. However, there is still uncertainty regarding the interpretation of the questions and how to proceed with the calculations for the first and third questions.

Contextual Notes

There is a lack of clarity in the problem statement regarding the definitions and relationships between the variables, which has led to some confusion among participants. Additionally, the original poster has expressed uncertainty about how to approach the first and third questions after attempting the second.

NyghtLyght
Messages
3
Reaction score
0

Homework Statement


Suppose for some unexplained reason you are skateboarding and wanted to use a spring to launch you off a ramp. Assuming you have a mass of 70 kg, if the spring has a spring constant k = 625N/m and is compresed 5m.
1.If the ramp has a 60° and is 10m long, will you make it off the ramp?
2. How high will you go?
3. How fast will it be going when it enters the ramp (ignore friction)?


Homework Equations


1/2mv(intial)squared + mgh(initial) + 1/2k(initial)xsquared = 1/2mv(final)squared + mgh(final) +1/2k(final)xsquared


The Attempt at a Solution


To get the first answer, the second question has to be answered. I got 1/2k(intial)xsqured = mgh(final). 1/2(625)(5)squared = 70(9.8)h(final). 7812.5 = 686h(final). 11.4m=h(final).
After this, I have no clue how to get the first and third question.


Thanks ahead of time.
 
Physics news on Phys.org
To answer #1, you need to determine whether the result in #2 is higher than the end of the ramp.

In #3, I do not understand what "it" is.
 
The it in #3 is the skateboard... I think.

And the answer to #2 is 11.4m=h(finial). But I don't understand how to get the answer to number one.
 
I think I have the answers. Thanks for the help.
 

Similar threads

Initial velocity of bird landing on horizontal wire modeled as spring
  • · Replies 7 ·
Replies
7
Views
1K
Block moves down incline, hits spring, find spring constant
  • · Replies 3 ·
Replies
3
Views
4K
Pan suspended by a spring (Energy + SHM)
  • · Replies 20 ·
Replies
20
Views
4K
Hi, help me to check my answers, dynamics, energy and work
  • · Replies 9 ·
Replies
9
Views
2K
Maximum Height of Ball on U-Shaped Ramp
  • · Replies 17 ·
Replies
17
Views
2K
Distribution of Energy when work is done on a system of 2 masses connected by a spring
  • · Replies 17 ·
Replies
17
Views
2K
Energy - Finding Spring Constant
  • · Replies 1 ·
Replies
1
Views
2K
Conservation of Energy: Spring pushing a block up an incline
  • · Replies 15 ·
Replies
15
Views
4K
Draw a FBD, calculate tension in the string, determine mass
  • · Replies 8 ·
Replies
8
Views
3K
Spring Problem with Possible Conservation of Energy Concept ?
  • · Replies 8 ·
Replies
8
Views
2K