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Physics for Scientists and Engineers: A Strategic Approach, Standard Edition (Chs 1-36) | 4th Edition | ISBN: 9780134081496 | Authors: Randall D. Knight (Professor Emeritus)
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The axle in Figure EX12.21 is half the distance from the

Chapter 12, Problem 12.68

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QUESTION:

A 5.00 kg particle starts from the origin at the time zero. its velocity as function of time is  where v in meters per second and t is in seconds.

(a) find its position as a function of time.

(b) describe its motion qualitatively.

Find (c) its acceleration as a function of time, (d) the net force exerted on the particle as a function of time, (e) the net torque about the origin exerted on the particle as a function of time,(f) the angular momentum of the particle as a function of time,(g) the kinetic energy from the particle as a function of time, and (h) the power injected into the system of the particle as a function of time.

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QUESTION:

A 5.00 kg particle starts from the origin at the time zero. its velocity as function of time is  where v in meters per second and t is in seconds.

(a) find its position as a function of time.

(b) describe its motion qualitatively.

Find (c) its acceleration as a function of time, (d) the net force exerted on the particle as a function of time, (e) the net torque about the origin exerted on the particle as a function of time,(f) the angular momentum of the particle as a function of time,(g) the kinetic energy from the particle as a function of time, and (h) the power injected into the system of the particle as a function of time.

ANSWER:

Step 1 of 9

(a)

The velocity vector can be given as,

                                                               

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