A particle of mass m is repelled from the origin 0 along a straight line with a force equal to k ˃ 0 times the distance from 0. Determine the differential equation governing the motion of the mass.

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A particle of mass m is repelled from the origin 0 along a straight line with a force equal to k ˃ 0 times the distance from 0. Determine the differential equation governing the motion of the mass.

Ans.: d2x/dt2 – kx/m = 0

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