A small object with mass 4.45 kg moves counterclockwise with constant speed 1.60 rad/s in a circle of radius 2.75 m centered at the origin. It starts at the point with position vector 2.75î m. Then it undergoes an angular displacement of 9.10 rad. (a) What is its new position vector? -2.61i + 0.87j m (b) In what quadrant is the object located and what angle does its position vector make with the positive x-axis? second at 161.46 (c) What is its velocity? - 0.512i – 1.515j m/s (d) In what direction is it moving? 251.30 V ° from the +x direction. (e) What is its acceleration? 0.876i – 0.296j m/s2 (f) Make a sketch of its position, velocity, and acceleration vectors. Choose File f.docx (g) What total force is exerted on the object? 4.14

Principles of Physics: A Calculus-Based Text
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Chapter10: Rotational Motion
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A small object with mass 4.45 kg moves counterclockwise with constant speed 1.60 rad/s in a circle of radius 2.75 m centered at the origin. It starts at the point with position vector 2.75î m. Then it undergoes an angular displacement of 9.10 rad.
(a) What is its new position vector?
-2.61i + 0.87j
(b) In what quadrant is the object located and what angle does its position vector make with the positive x-axis?
second
Vv at 161.46
(c) What is its velocity?
- 0.512i – 1.515j
m/s
(d) In what direction is it moving?
251.30
y o from the +x direction.
(e) What is its acceleration?
0.876i – 0.296j
m/s2
(f) Make a sketch of its position, velocity, and acceleration vectors. Choose File
docx
(g) What total force is exerted on the object?
4.14
Transcribed Image Text:A small object with mass 4.45 kg moves counterclockwise with constant speed 1.60 rad/s in a circle of radius 2.75 m centered at the origin. It starts at the point with position vector 2.75î m. Then it undergoes an angular displacement of 9.10 rad. (a) What is its new position vector? -2.61i + 0.87j (b) In what quadrant is the object located and what angle does its position vector make with the positive x-axis? second Vv at 161.46 (c) What is its velocity? - 0.512i – 1.515j m/s (d) In what direction is it moving? 251.30 y o from the +x direction. (e) What is its acceleration? 0.876i – 0.296j m/s2 (f) Make a sketch of its position, velocity, and acceleration vectors. Choose File docx (g) What total force is exerted on the object? 4.14
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