Referring to Figure 4.17 (reproduced below), in Bill’s reference frame, how is Carlos moving? Assume left is the negative x direction and right is the positive x direction for each reference frame.

Question

Referring to Figure 4.17 (reproduced below), in Bill’s reference frame, how is Carlos moving?  Assume left is the negative x direction and right is the positive x direction for each reference frame.

BlackTom AI · Accepted Answer

We'll break down what the question is asking and examine each possible statement.
Option 1: 'He is moving to the right at 5 m/s' — If the reference frame is Bill’s and left is negative x, right is positive x, a motion to the right at +5 m/s would be described. However, the given figure and setup indicate a velocity magnitude of 10 m/s in the specified direction for Carlos in Bill’s frame, not 5 m/s. So this option misstates both the direction and the speed.
Option 2: 'He is moving to the left at 5 m/s' — This claims a leftward velocity of -5 m/s. The magnitude is inconsistent with the data in the figure, and the speed is not matching the established 10 m/s in Bill’s frame. Therefore, this is not accurate.
Option 3: 'He is moving to the right at 10 m/s' — This asserts a rightward motion of +10 m/s. While the speed matches 10 m/s, the direction is opposite to what is stated for Bill’s frame in the problem setup, making this incorrect if Bill’s frame shows leftward motion.
Option 4: 'He is moving to the left at 10 m/s' — This option specifies leftward motion with a 10 m/s speed, which aligns with the typical reading of Bill’s reference frame given the left is negative x. If the vector in Bill’s frame points left with a 10 m/s magnitude, this option is consistent with the described setup.
Option 5: 'He is moving to the right at 15 m/s' — This both changes the speed to 15 m/s and flips the direction to the right, neither of which matches the problem’s stated conditions or the magnitude (10 m/s) in Bill’s frame.
Option 6: 'He is moving to the left at 15 m/s' — This keeps the leftward direction but increases the speed to 15 m/s, again conflicting with the 10 m/s magnitude given for Bill’s frame.

In summary, options 1, 2, 3, 5, and 6 all conflict with either the direction, the magnitude, or both when interpreted in Bill’s reference frame with left as negative x. Only option 4 presents the leftward direction with the correct 10 m/s magnitude that matches the described frame.

PHYS 2305 Spring 25 Lin Quiz 02 - Chapters 3 & 4 (4.1-4.5)

Referring to Figure 4.17 (reproduced below), in Bill’s reference frame, how is Carlos moving? Assume left is the negative x direction and right is the positive x direction for each reference frame.

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