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A spring with a spring constant of ?=75 N/mk=75 N/m is compressed a distance of Δ?=0.45 mΔx=0.45 m from its relaxed position. By how much does the spring's potential energy ?kUk change?

A spring with a spring constant of ?=75 N/mk=75 N/m is compressed a distance of Δ?=0.45 mΔx=0.45 m from its relaxed position. By how much does the spring's potential energy ?kUk change?

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A spring with a spring constant of ?=75 N/mk=75 N/m is compressed a distance of Δ?=0.45 mΔx=0.45 m from its relaxed position.

By how much does the spring's potential energy ?kUk change?

**Transcription:** ΔUₖ = [box for input] J **Explanation:** This is a formula or expression that represents a change in a variable denoted by Uₖ, potentially indicating kinetic energy, as suggested by the subscript k. The delta symbol (Δ) signifies a change or difference in this quantity. The box next to the equals sign appears to be a placeholder for inputting a numerical value. The unit of measurement is given as Joules (J), which is the SI unit of energy. The layout is designed for educational purposes, possibly allowing students to calculate and enter their answer directly.
Transcribed Image Text:**Transcription:** ΔUₖ = [box for input] J **Explanation:** This is a formula or expression that represents a change in a variable denoted by Uₖ, potentially indicating kinetic energy, as suggested by the subscript k. The delta symbol (Δ) signifies a change or difference in this quantity. The box next to the equals sign appears to be a placeholder for inputting a numerical value. The unit of measurement is given as Joules (J), which is the SI unit of energy. The layout is designed for educational purposes, possibly allowing students to calculate and enter their answer directly.
The image illustrates the concept of spring compression and extension. It features two springs: 1. **Top Spring**: Depicted in its natural, extended state. 2. **Bottom Spring**: Shown in a compressed state, shorter than the top spring. Between the two springs, there are dotted lines marking the initial and final position of the spring's end. A solid horizontal line connects these dotted lines, labeled with the symbol "\(\Delta x\)," which represents the change in length of the spring due to compression or extension. **Explanation**: - The top spring represents the spring's equilibrium position without any external forces acting on it. - The bottom spring represents the compressed state, showing how the spring shortens when a force is applied. - "\(\Delta x\)" signifies the distance by which the spring's length changes, an important factor in understanding Hooke's Law, which states that the force needed to extend or compress a spring by some distance is proportional to that distance.
Transcribed Image Text:The image illustrates the concept of spring compression and extension. It features two springs: 1. **Top Spring**: Depicted in its natural, extended state. 2. **Bottom Spring**: Shown in a compressed state, shorter than the top spring. Between the two springs, there are dotted lines marking the initial and final position of the spring's end. A solid horizontal line connects these dotted lines, labeled with the symbol "\(\Delta x\)," which represents the change in length of the spring due to compression or extension. **Explanation**: - The top spring represents the spring's equilibrium position without any external forces acting on it. - The bottom spring represents the compressed state, showing how the spring shortens when a force is applied. - "\(\Delta x\)" signifies the distance by which the spring's length changes, an important factor in understanding Hooke's Law, which states that the force needed to extend or compress a spring by some distance is proportional to that distance.
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