The velocity of a particle of mass m subjected to a certain force varies with the đistance according to the relation v = K]x", where K is a constant. Assuming at 1 = 0, x = xo, calculate the force act- ing on the particle as a function of (a) distance x, and (b) time t. (c) Calculate the position of the particle as a function of time t. (d) Graph in (a), (b) and (c) and discuss any outstanding

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The velocity of a particle of mass m subjected to a certain force varies with the distance according
to the relation v = Klx", where K is a constant. Assuming at t = 0, x = xo, calculate the force act-
ing on the particle as a function of (a) distance x, and (b) time r. (c) Calculate the position of the
particle as a function of time 1. (d) Graph in (a), (b) and (c) and discuss any outstanding
features.
Transcribed Image Text:The velocity of a particle of mass m subjected to a certain force varies with the distance according to the relation v = Klx", where K is a constant. Assuming at t = 0, x = xo, calculate the force act- ing on the particle as a function of (a) distance x, and (b) time r. (c) Calculate the position of the particle as a function of time 1. (d) Graph in (a), (b) and (c) and discuss any outstanding features.
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