A 5.00-kg particle starts from the origin at time zero.

Chapter 11, Problem 20

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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 az:

Given:

The velocity of the particle is

We are asked to find the position of the particle as a function of time for which we will integrate the velocity wrt time.

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