Solving a Physics Problem: Finding the Distance Traveled Up a Slope

In summary, the problem involves a 50g ice cube sliding without friction up and down a 30 degree slope, compressing a spring with a spring constant of 25N/m. The question asks for the distance the ice cube will travel up the slope before reversing direction. The solution involves using conservation of energy and resolving forces in the x and y directions to find the total distance.
  • #1
splac6996
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Homework Statement


A 50g ice cube can slide without friction up and down a 30 degree 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.



Homework Equations


I am not sure where to start on this problem I thought that I should use my force equations to resolve the weiight force but I don't know where to go after that.



The Attempt at a Solution

 
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  • #2
A 50g ice cube can slide without friction up and down a 30 degree slope, so conservation of energy applies since no dissipative force (friction) exists.

What is the stored energy in the spring when it is deflected 10 cm (0.1 m). When the spring deflects back to no deflection, all that 'stored' spring energy is transformed into the blocks kinetic energy. Then the block decelerates moving up the the ramp and gains elevation. When the block stops, what has happened to the energy?
 
  • #3
so by using Force = -k[tex]\Delta[/tex]x
I get a spring force of 2.5. So I think now I should be able to resolve the forces in the x and y direction and from there use my kinematic equation to find the total distance. is that right
 

FAQ: Solving a Physics Problem: Finding the Distance Traveled Up a Slope

1. How do I determine the distance traveled up a slope in a physics problem?

To determine the distance traveled up a slope in a physics problem, you will need to use the equation d = v0t + 1/2at2, where d is the distance traveled, v0 is the initial velocity, a is the acceleration, and t is the time. You will also need to take into account the angle of the slope and use trigonometric functions to find the vertical component of the displacement.

2. What is the difference between distance and displacement in a physics problem?

Distance refers to the total length of the path traveled, while displacement refers to the shortest distance between the initial and final positions. In a physics problem involving a slope, distance would refer to the length of the slope itself, while displacement would refer to the vertical distance traveled up the slope.

3. How does the mass of an object affect the distance traveled up a slope?

The mass of an object does not directly affect the distance traveled up a slope. However, it can affect the force of gravity and therefore the acceleration of the object. A larger mass will have a greater force of gravity and therefore a greater acceleration, resulting in a longer distance traveled up the slope.

4. Can I use the same equation to find the distance traveled down a slope?

Yes, the same equation d = v0t + 1/2at2 can be used to find the distance traveled down a slope as well. However, you will need to use the negative value of the acceleration since the object will be moving in the opposite direction. Additionally, the angle of the slope will also need to be taken into account when finding the vertical component of the displacement.

5. Do I need to consider friction when solving for the distance traveled up a slope?

Yes, you will need to consider friction when solving for the distance traveled up a slope. Friction can act in the opposite direction of motion and therefore can affect the acceleration of the object. You will need to use the coefficient of friction and the normal force in your calculation of the net force on the object.

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