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#5) Think in three dimensions. Think about what is your coordinate system. What directions are positive and negative in your coordinate system (clearly show how the positive and negative x, y, and z axes relate to North, East, South, and West)? You and your buddy do not have to have the same coordinate system, but the answer will work out the same for this problem. Clearly draw and label your 3D coordinate system A Los Angeles class nuclear submarine deep in the ocean's water rises 50.0 m straight upward in the water, then propels 200.0 m eastward (from west to east), then 100.0 m horizontally to the north. If an enemy Churchill class nuclear submarine started out at the same location as the Los Angeles class submarine and instead rose 100.0 m straight up, propelled 200.0 m westward, and 50.0 m horizontally to the south. What is the magnitude of the distance between the two submarines in the end? Express answer to 3 sig figs.

#5) Think in three dimensions. Think about what is your coordinate system. What directions are positive and negative in your coordinate system (clearly show how the positive and negative x, y, and z axes relate to North, East, South, and West)? You and your buddy do not have to have the same coordinate system, but the answer will work out the same for this problem. Clearly draw and label your 3D coordinate system A Los Angeles class nuclear submarine deep in the ocean's water rises 50.0 m straight upward in the water, then propels 200.0 m eastward (from west to east), then 100.0 m horizontally to the north. If an enemy Churchill class nuclear submarine started out at the same location as the Los Angeles class submarine and instead rose 100.0 m straight up, propelled 200.0 m westward, and 50.0 m horizontally to the south. What is the magnitude of the distance between the two submarines in the end? Express answer to 3 sig figs.

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# 5) Think in three dimensions. Think about what is your coordinate system. What directions are positive and negative in your coordinate system (clearly show how the positive and negative x, y, and z axes relate to North, East, South, and West)? You and your buddy do not have to have the same coordinate system, but the answer will work out the same for this problem. Clearly draw and label your 3D coordinate system A Los Angeles class nuclear submarine deep in the ocean's water rises 50.0 m straight upward in the water, then propels 200.0 m eastward (from west to east), then 100.0 m horizontally to the north. If an enemy Churchill class nuclear submarine started out at the same location as the Los Angeles class submarine and instead rose 100.0 m straight up, propelled 200.0 m westward, and 50.0 m horizontally to the south. What is the magnitude of the distance between the two submarines in the end? Express answer to 3 sig figs.
Transcribed Image Text:# 5) Think in three dimensions. Think about what is your coordinate system. What directions are positive and negative in your coordinate system (clearly show how the positive and negative x, y, and z axes relate to North, East, South, and West)? You and your buddy do not have to have the same coordinate system, but the answer will work out the same for this problem. Clearly draw and label your 3D coordinate system A Los Angeles class nuclear submarine deep in the ocean's water rises 50.0 m straight upward in the water, then propels 200.0 m eastward (from west to east), then 100.0 m horizontally to the north. If an enemy Churchill class nuclear submarine started out at the same location as the Los Angeles class submarine and instead rose 100.0 m straight up, propelled 200.0 m westward, and 50.0 m horizontally to the south. What is the magnitude of the distance between the two submarines in the end? Express answer to 3 sig figs.
Expert Solution
Step 1: Let's explain the given problem:

Approach this problem by visualizing a three-dimensional coordinate system. Clearly depict your coordinate system, specifying which directions are positive and negative for the x, y, and z axes, and how they relate to North, East, South, and West. Employ proper rotation conventions for representing objects going into and out of the page. It's worth noting that you and your partner can use different coordinate systems, as long as they are both correct; the final answer will be the same for both.

Start with the Los Angeles class nuclear submarine (Submarine A):

Advanced Physics homework question answer, step 1, image 1

You can represent the position of Submarine A as:  stack bold r subscript bold A with bold rightwards arrow on top bold equals bold 50 bold j with bold hat on top bold plus bold 200 bold i with bold hat on top bold plus bold 100 bold k with bold hat on top

Now, consider the enemy Churchill class nuclear submarine (Submarine B):

Advanced Physics homework question answer, step 1, image 2

You can represent the position of Submarine B as: stack bold r subscript bold B with bold rightwards arrow on top bold equals bold 100 bold j with bold hat on top bold minus bold 200 bold i with bold hat on top bold minus bold 50 bold k with bold hat on top

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