Show clearly all working with detailed explanations The position vector of a particle P, of mass 6 kg, at time t seconds is r, wherer= [(18t – 4t3)i + t²j] m.(a) Find the kinetic energy of P when t = 1.(b) Calculate the magnitude of the force acting on P when t = 2.(c) Determine, to 2 decimal places, the value of t for which the velocity and theacceleration vectors of Pare at right angles .

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Answered: The position vector of a particle P, of…

The position vector of a particle P, of mass 6 kg, at time t seconds is r, where r= [(18t – 4t3)i + t²j] m. (a) Find the kinetic energy of P when t = 1.

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter9: Dynamics Of A System Of Particles

Section: Chapter Questions

Problem 9.36P: In an elastic collision of two particles with masses m1 and m2, the initial velocities are u1 and u2...

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Show clearly all working with detailed explanations

The position vector of a particle P, of mass 6 kg, at time t seconds is r, where
r= [(18t – 4t3)i + t²j] m.
(a) Find the kinetic energy of P when t = 1.
(b) Calculate the magnitude of the force acting on P when t = 2.
(c) Determine, to 2 decimal places, the value of t for which the velocity and the
acceleration vectors of Pare at right angles .

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