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A mouse sits on a turntable rotating with uniform circular motion in a counterclockwise At time t; = 1 s, the mouse's velocity is v, = (-0,5î +0.5}) (m/ s). aw a circle showing where the mouse is located at t1. e centripetal acceleration of the mouse of 1.7 m/s?. Where is the ouse located relative to the center of the turntable? aw the acceleration vector on your circle. e turntable is turned off and gradually comes to a stop. At t2 = 3 , the velocity of the mouse is v, = (-0.5î – 0.5j) (m / s). Where is e mouse located at this time? Draw the position on your circle. hat is the average acceleration (in unit-vector notation) between ti

A mouse sits on a turntable rotating with uniform circular motion in a counterclockwise At time t; = 1 s, the mouse's velocity is v, = (-0,5î +0.5}) (m/ s). aw a circle showing where the mouse is located at t1. e centripetal acceleration of the mouse of 1.7 m/s?. Where is the ouse located relative to the center of the turntable? aw the acceleration vector on your circle. e turntable is turned off and gradually comes to a stop. At t2 = 3 , the velocity of the mouse is v, = (-0.5î – 0.5j) (m / s). Where is e mouse located at this time? Draw the position on your circle. hat is the average acceleration (in unit-vector notation) between ti

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**Transcription:** **Physics Problem: Rotational Motion** Consider a mouse sitting on a turntable that is rotating with uniform circular motion in a counterclockwise direction. Analyze the following scenario: At time \( t_1 = 1 \, \text{s} \), the mouse’s velocity is \( \vec{v}_1 = (-0.5\hat{i} + 0.5\hat{j}) \, (\text{m/s}) \). **a.** Draw a circle showing where the mouse is located at \( t_1 \). **b.** The centripetal acceleration of the mouse is \( 1.7 \, \text{m/s}^2 \). Where is the mouse located relative to the center of the turntable? **c.** Draw the acceleration vector on your circle. **d.** The turntable is turned off and gradually comes to a stop. At \( t_2 = 3 \, \text{s} \), the velocity of the mouse is \( \vec{v}_2 = (-0.5\hat{i} - 0.5\hat{j}) \, (\text{m/s}) \). Where is the mouse located at this time? Draw the position on your circle. **e.** What is the average acceleration (in unit-vector notation) between \( t_1 \) and \( t_2 \)? **Diagram Explanation:** A circle is drawn representing the turntable, with a cross indicating its center. Any vectors related to velocity, position, or acceleration would be drawn relative to this circle. The vectors should indicate the mouse's relative positions and accelerations at specified times.
Transcribed Image Text:**Transcription:** **Physics Problem: Rotational Motion** Consider a mouse sitting on a turntable that is rotating with uniform circular motion in a counterclockwise direction. Analyze the following scenario: At time \( t_1 = 1 \, \text{s} \), the mouse’s velocity is \( \vec{v}_1 = (-0.5\hat{i} + 0.5\hat{j}) \, (\text{m/s}) \). **a.** Draw a circle showing where the mouse is located at \( t_1 \). **b.** The centripetal acceleration of the mouse is \( 1.7 \, \text{m/s}^2 \). Where is the mouse located relative to the center of the turntable? **c.** Draw the acceleration vector on your circle. **d.** The turntable is turned off and gradually comes to a stop. At \( t_2 = 3 \, \text{s} \), the velocity of the mouse is \( \vec{v}_2 = (-0.5\hat{i} - 0.5\hat{j}) \, (\text{m/s}) \). Where is the mouse located at this time? Draw the position on your circle. **e.** What is the average acceleration (in unit-vector notation) between \( t_1 \) and \( t_2 \)? **Diagram Explanation:** A circle is drawn representing the turntable, with a cross indicating its center. Any vectors related to velocity, position, or acceleration would be drawn relative to this circle. The vectors should indicate the mouse's relative positions and accelerations at specified times.
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