A cube of a mass m=0.37 kg is set against a spring with a spring constant of k1=656 N/m which has been compressed by a distance of 0.1 m. Some distance in front of it, along a frictionless surface, is another spring with a spring constant of k2=181N/m. The cube is not connected to the first spring and may slide freely. I found (a) and (b). I just need help with (c). a). How far d2, in meters, will the second spring compress when thee cube runs into it? 0.19 m. (answer) b). How fast v, in meters per second, will the cube be moving when it strikes the second spring? 4.21 m/s (answer) c). Now assume friction is present on the surface in between the ends of the springs at their equilibrium lengths, and the coefficient of kinetic friction is uk=0.5. If the distance between the springs is x=1m, how far d2, in meters, will the second spring now compress?

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Chapter1: Units, Trigonometry. And Vectors
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A cube of a mass m=0.37 kg is set against a spring with a spring constant of k1=656 N/m which has been compressed by a distance of 0.1 m. Some distance in front of it, along a frictionless surface, is another spring with a spring constant of k2=181N/m. The cube is not connected to the first spring and may slide freely.

I found (a) and (b). I just need help with (c).

a). How far d2, in meters, will the second spring compress when thee cube runs into it? 0.19 m. (answer)

b). How fast v, in meters per second, will the cube be moving when it strikes the second spring? 4.21 m/s (answer)

c). Now assume friction is present on the surface in between the ends of the springs at their equilibrium lengths, and the coefficient of kinetic friction is uk=0.5. If the distance between the springs is x=1m, how far d2, in meters, will the second spring now compress?

 

The image depicts a physical system consisting of a mass labeled "m" situated between two horizontal springs. The setup is within a wooden frame that constrains the motion of the mass. 

- **Mass (m):** A block positioned in the center, representing the object whose motion is being studied.
- **Springs:** Two springs are attached on either side of the mass. They appear to be of equal length and are fixed to the wooden frame at both ends. These springs exert restoring forces on the mass.
- **Arrow:** A red arrow pointing to the right, indicating the initial direction of the force applied to the mass or its motion.
- **Coordinate System:** An axis labeled "x" is shown in the top right corner, indicating the horizontal direction for measurement and analysis.

This system can be used to study harmonic motion as the mass oscillates back and forth once displaced from its equilibrium position.
Transcribed Image Text:The image depicts a physical system consisting of a mass labeled "m" situated between two horizontal springs. The setup is within a wooden frame that constrains the motion of the mass. - **Mass (m):** A block positioned in the center, representing the object whose motion is being studied. - **Springs:** Two springs are attached on either side of the mass. They appear to be of equal length and are fixed to the wooden frame at both ends. These springs exert restoring forces on the mass. - **Arrow:** A red arrow pointing to the right, indicating the initial direction of the force applied to the mass or its motion. - **Coordinate System:** An axis labeled "x" is shown in the top right corner, indicating the horizontal direction for measurement and analysis. This system can be used to study harmonic motion as the mass oscillates back and forth once displaced from its equilibrium position.
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