Two researchers, Ann and Malcolm, want to understand the biomechanical mechanism of the froghopper jump. Using a high-speed camera, each scientist uses a different coordinate system to record the motion of the same froghopper jump. As shown in the figure, Ann sets the origin of her coordinate system at ground level, whereas Malcolm sets his origin at the level of the leaf. Compare the froghopper's gravitational potential energy change ΔUg, as measured by each scientist.   A) ΔUg as measured by Ann is greater. B) ΔUg as measured by Malcolm is greater. C) Ann and Malcolm measure the same ΔUg

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ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
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Two researchers, Ann and Malcolm, want to understand the biomechanical mechanism of the froghopper jump. Using a high-speed camera, each scientist uses a different coordinate system to record the motion of the same froghopper jump. As shown in the figure, Ann sets the origin of her coordinate system at ground level, whereas Malcolm sets his origin at the level of the leaf. Compare the froghopper's gravitational potential energy change ΔUg, as measured by each scientist.
 
A) ΔUg as measured by Ann is greater.
B) ΔUg as measured by Malcolm is greater.
C) Ann and Malcolm measure the same ΔUg.
The image contains two diagrams that appear to represent different physical scenarios.

1. **First Diagram:**
   - There is a leaf positioned on a horizontal axis labeled \( y_{Malcolm} = 0 \).
   - The axes have a purple color scheme, with the horizontal axis representing the ground or reference line. There’s no explicit vertical component shown.

2. **Second Diagram:**
   - Below the first, there is a diagram of an insect (likely a grasshopper) labeled as "A."
   - The axes have an orange color scheme, with the horizontal axis also labeled \( y_{Ann} = 0 \).
   - The insect is depicted with an arrow pointing upwards, labeled \( v_{0A} \), likely representing an initial velocity vector as the grasshopper jumps or moves upward from the defined reference line or ground.

These diagrams likely illustrate concepts related to initial conditions in motion or relative positioning in physics, using two different reference points or frames of reference. The leaf and grasshopper act as visual aids for understanding how objects start from a zero position on the y-axis as per each model’s frame of reference.
Transcribed Image Text:The image contains two diagrams that appear to represent different physical scenarios. 1. **First Diagram:** - There is a leaf positioned on a horizontal axis labeled \( y_{Malcolm} = 0 \). - The axes have a purple color scheme, with the horizontal axis representing the ground or reference line. There’s no explicit vertical component shown. 2. **Second Diagram:** - Below the first, there is a diagram of an insect (likely a grasshopper) labeled as "A." - The axes have an orange color scheme, with the horizontal axis also labeled \( y_{Ann} = 0 \). - The insect is depicted with an arrow pointing upwards, labeled \( v_{0A} \), likely representing an initial velocity vector as the grasshopper jumps or moves upward from the defined reference line or ground. These diagrams likely illustrate concepts related to initial conditions in motion or relative positioning in physics, using two different reference points or frames of reference. The leaf and grasshopper act as visual aids for understanding how objects start from a zero position on the y-axis as per each model’s frame of reference.
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