A small object with mass 4.15 kg moves counterclockwise with constant angular speed 1.30 rad/s in a circle of radius 3.30 m centered at the origin. It starts at the point with position vector 3.301 m. Then it undergoes an angular displacement of 9.30 rad. (a) What is its new position vector? m (b) In what quadrant is the object located and what angle does its position vector make with the positive x-axis? ---Select--- ♥ at (c) What is its velocity? m/s 0 (d) In what direction is it moving? (Give a negative angle.) from the +x direction.

College Physics
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Chapter1: Units, Trigonometry. And Vectors
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A small object with mass 4.15 kg moves counterclockwise with constant angular speed 1.30 rad/s in a circle of radius 3.30 m centered at the origin. It starts at the point with position vector 3.30i m. Then it undergoes an angular displacement of 9.30 rad.

(a) What is its new position vector?
\[ \_\_\_\_\_\_\_\_ \, \text{m} \]

(b) In what quadrant is the object located and what angle does its position vector make with the positive x-axis?
\[ \_\_\_\_\_\_\_\_ \, \text{ at } \, \_\_\_\_\_\_\_\_\_\_° \]

(c) What is its velocity?
\[ \_\_\_\_\_\_\_\_ \, \text{m/s} \]

(d) In what direction is it moving? (Give a negative angle.)
\[ \_\_\_\_\_\_\_\_\_° \, \text{ from the } +x \text{ direction.} \]

(e) What is its acceleration?
\[ \_\_\_\_\_\_\_\_ \, \text{m/s}^2 \]

(f) What total force is exerted on the object?
\[ \_\_\_\_\_\_\_\_ \, \text{N} \]
Transcribed Image Text:A small object with mass 4.15 kg moves counterclockwise with constant angular speed 1.30 rad/s in a circle of radius 3.30 m centered at the origin. It starts at the point with position vector 3.30i m. Then it undergoes an angular displacement of 9.30 rad. (a) What is its new position vector? \[ \_\_\_\_\_\_\_\_ \, \text{m} \] (b) In what quadrant is the object located and what angle does its position vector make with the positive x-axis? \[ \_\_\_\_\_\_\_\_ \, \text{ at } \, \_\_\_\_\_\_\_\_\_\_° \] (c) What is its velocity? \[ \_\_\_\_\_\_\_\_ \, \text{m/s} \] (d) In what direction is it moving? (Give a negative angle.) \[ \_\_\_\_\_\_\_\_\_° \, \text{ from the } +x \text{ direction.} \] (e) What is its acceleration? \[ \_\_\_\_\_\_\_\_ \, \text{m/s}^2 \] (f) What total force is exerted on the object? \[ \_\_\_\_\_\_\_\_ \, \text{N} \]
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