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A particle of mass m=1kg moves along the OX axis so that at instant t=1, it is x0: 1m and V0: 2 m/s, approaching O.

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A particle of mass m=1kg moves along the OX axis so that at instant t=1, it is x0: 1m and V0: 2 m/s, approaching O. The particle is repelled by O with a force given by f=mx (see figure ), being x = OP, and P the position at any instantt of its trajectory. Determine: 1) The time it takes to pass through the origin of space 0 and the speed at that time 2) the impulse on the particle between the instants in which x=0 and Xp = 1m

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