A $$3000$$ kg space probe is moving in a grayity free space at a constant velocity of $$300$$ $$m/s$$. To change the direction of space probe, rockets have been fired in a direction perpendicular to the direction of initial motion of the space probe, the rocket firing exerts a thrust of $$4000$$ N for $$225$$ s. The space probe will turn by an angle of (neglect$$ the mass of the rockets $$fired)

Question

Infinity Learn · Accepted Answer

From $$impulse-momentum$$ theorem,J→$$=p$$→f−p→i⇒p→$$f=J$$→$$+p$$→i Here $$pi=3000$$×$$300=9$$×$$105kgm/sJ=4000$$×$$225=9$$×$$105kgm/stan$$⁡θ$$=piJ=1$$⇒θ$$=45$$∘So, the angle by which the space probe rotates isα$$=$$π$$2$$−θ$$=45$$∘

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