What is the Height of the Cart When It Stops Rolling Up an Inclined Board?

AI Thread Summary
The discussion focuses on determining the height of a cart when it stops rolling up an inclined board after being propelled by a compressed spring. A force of 125N is required to compress the spring by 1.04m, indicating the spring's potential energy. The conservation of energy principle is highlighted, suggesting that the spring's potential energy converts to gravitational potential energy as the cart ascends. Key equations mentioned include kinetic energy (1/2 mv^2) and potential energy (mgh), emphasizing the need to calculate height (h). The conversation reveals confusion about differentiating between types of potential energy but ultimately centers on energy conservation principles.
Walid11
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Homework Statement


125N of force are required to compress a spring by 1.04m. The cart rolls across the table at a constant speed. It then rolls up an inclined board and comes to rest. How high above the table is the cart when it stops?


Homework Equations





The Attempt at a Solution

 
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Walid11 said:

The Attempt at a Solution


??



Conservation of energy might aid you here.
 
There's not enough information to make any calculations. But from what I can tell from the problem, it's just the conservation of spring energy to potential energy.
 
well it moves at 9.3 m/s horizontally
 
Walid11 said:
well it moves at 9.3 m/s horizontally

Then it's conservation of Kinetic Energy to Potential ...
 
what's the formula for that?
 
Well, kinetic energy is (1/2)mv^2 and potential energy is (1/2)kx^2. Have you seen these equations before?
 
Walid11 said:
what's the formula for that?

Uhm I assume the spring-cart system is initially at rest. So then you want all the potential energy of the spring to be converted into gravitational pe (mgh). You need to get h.
 
yeah, i just couldn't differentiate. Thank you
 
  • #10
Oops, I didn't read the question and assumed the potential energy bucher was talking about was spring potential energy. Apologies!
 
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