Energy of a block on a frictionless ramp

Click For Summary

Homework Help Overview

The problem involves a 5.0 kg block on a frictionless ramp inclined at 30.0 degrees, which compresses a spring as it slides down. The goal is to determine the maximum compression of the spring, given the distance from the block to the spring and the spring constant.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the use of gravitational potential energy (GPE) and spring potential energy (SPR) equations, questioning the correct expression for height in the context of the ramp's incline. There is an exploration of the relationship between the distance traveled along the ramp and the vertical height change.

Discussion Status

Some participants have provided guidance on the need to clarify the height calculation, suggesting the use of trigonometry to determine the vertical height based on the distance traveled along the ramp. There is an acknowledgment of potential calculation errors and a request for further details on the steps taken in the original poster's attempt.

Contextual Notes

There is uncertainty regarding the interpretation of the distance from the block to the spring and how it relates to the height change during the block's descent. The original poster's initial assumption about height calculation has been questioned, indicating a need for clarification.

geena_booboo
Messages
2
Reaction score
0

Homework Statement



A 5.0 kg block is placed near the top of a frictionless ramp, which makes an angle of 30.0o degrees to the horizontal. A distance d = 1.3 m away from the block is an unstretched spring with k = 3000.0 N/m. The block slides down the ramp and compresses the spring. Find the maximum compression of the spring.

Homework Equations



The "solutions guide" is wanting me to use GPE=mgh (and I can substitute (1.3 + x) for h) and SPR=.5kx^2.

The Attempt at a Solution


I've tried setting them equal to each other, but then I get x as .137 and they say that's not correct.

 
Physics news on Phys.org
geena_booboo said:
GPE=mgh (and I can substitute (1.3 + x) for h)

Hello, welcome to PF!

Is h a distance measured along the surface of the inclined plane?
 
Welcome to PF geena_booboo

geena_booboo said:

Homework Statement



A 5.0 kg block is placed near the top of a frictionless ramp, which makes an angle of 30.0o degrees to the horizontal. A distance d = 1.3 m away from the block is an unstretched spring with k = 3000.0 N/m. The block slides down the ramp and compresses the spring. Find the maximum compression of the spring.

Homework Equations



The "solutions guide" is wanting me to use GPE=mgh (and I can substitute (1.3 + x) for h) and SPR=.5kx^2.

The Attempt at a Solution


I've tried setting them equal to each other, but then I get x as .137 and they say that's not correct.

Setting h = 1.3 + x is definitely not correct. You need to figure out change in vertical height of the block. This depends on how far along the ramp the block travels. It's not totally clear from the problem statement, but I think that the block is 1.3 m away from the spring along the ramp. If so, you need to use trigonometry to find the vertical height based on the distance that it travels along the ramp .
 
I appologize, I meant that h=(1.3+x)sin(30).
 
geena_booboo said:
I appologize, I meant that h=(1.3+x)sin(30).

Okay, well it looks like calcuation error. Can you post your steps?
 

Similar threads

Replies
17
Views
2K
  • · Replies 5 ·
Replies
5
Views
1K
Replies
3
Views
4K
Replies
8
Views
6K
  • · Replies 10 ·
Replies
10
Views
5K
  • · Replies 5 ·
Replies
5
Views
2K
Replies
1
Views
4K
  • · Replies 5 ·
Replies
5
Views
3K
Replies
30
Views
2K
Replies
10
Views
5K