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## The position of a particle is given i(t) = A(coswt i + sin wt 1), where w is a constant. (a) Show that the particle moves in a circle of rad

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The position of a particle is given i(t) = A(coswt i + sin wt 1), where w is a constant. (a) Show that the particle moves in a circle of radius A. (b) Calculate and then show that the speed of the particle is a constanta (c) Determine and show that a is given by ae = rw?. (d) Calculate the centripetal force on the particle.

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Physics
1 month
2021-08-13T21:03:35+00:00
2021-08-13T21:03:35+00:00 1 Answers
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## Answers ( )

Answer:Explanation:(a)we can prove that the particle moves in a circle by taking the square of the norm of r(t)the norm of the position vector does not depend of time, so |r| is constant and is a radius of a circle.

(b)the sped of the particle is the norm of the velocity v(t). Velocity is calculated by derivating r(t)A and w are constant, hence the speed of the particle is constant.

(c)the acceleration is the derivative of the velocity(d)I hope this is useful for you

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