Question

A particle of mass 4 units moves in a force field depending on time t given by F = 24t ^ 2 * i + 6tj - 12tk Assuming that at t = 0 , the particle is located at r_{0} = - 2j and has a velocity v_{0} = 6i Find at any time t: (i) Velocity (ii) Position (iii) Torque (iv) Angular momentum

Name: a particle of mass 4 units moves in a force field depending on time t given by f 24t 2 i 6tj 12tk assuming that at t 0 the particle is located at r0 2j and has a velocity v0 6i find at any time t i
Uploaded: 2023-11-14T21:08:24-08:00
Duration: 3 min 46 s
Channel: Timothy James
Description: a particle of mass 4 units moves in a force field depending on time t given by f 24t 2 i 6tj 12tk assuming that at t 0 the particle is located at r0 2j and has a velocity v0 6i find at any time t i

          A particle of mass 4 units moves in a force field depending on time t given by F = 24t ^ 2 * i + 6tj - 12tk Assuming that at t = 0 , the particle is located at r_{0} = - 2j and has a velocity v_{0} = 6i Find at any time t:

(i) Velocity

(ii) Position

(iii) Torque

(iv) Angular momentum

Added by Kiprono E.

Physics for Scientists and Engineers with Modern Physics

Raymond A. Serway, John W. Jewett, Jr. 8th Edition

Chapter 11

Instant Answer

Solved by Expert Timothy James

11/14/2023

Step 1

- The force acting on the particle is given by \(F = 24t^2i + 6tj - 12tk\). - The mass of the particle is 4 units. - Initial position of the particle is \(r_0 = -2j\). - Initial velocity of the particle is \(v_0 = 6i\). - We need to find the velocity, position, Show more…

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A particle of mass 4 units moves in a force field depending on time t given by F = 24t ^ 2 * i + 6tj - 12tk Assuming that at t = 0 , the particle is located at r_{0} = - 2j and has a velocity v_{0} = 6i Find at any time t: (i) Velocity (ii) Position (iii) Torque (iv) Angular momentum