A body of mass $$50$$ kg is projected vertically upwards with velocity of $$100$$ $$m/$$$$sec$$. $$5$$ seconds after this body breaks into $$20$$ kg and $$30$$ kg. If $$20$$ kg piece travels upwards with $$150$$ $$m/$$$$sec$$, then the velocity of other block will be

Question

A body of mass $$50$$ kg is projected vertically upwards with velocity of $$100$$ $$m/$$$$sec$$. $$5$$ seconds after this body breaks into $$20$$ kg and $$30$$ kg.  If $$20$$ kg piece travels upwards with $$150$$ $$m/$$$$sec$$, then the velocity of other block will be

Infinity Learn · Accepted Answer

Velocity of $$50$$ kg. mass after $$5$$ $$sec$$ of projection  $$v=u$$−$$gt=100$$−$$9.8$$×$$5=51$$ m​$$/$$​sAt this instant momentum of body is in upward direction $$Pinitial=50$$×$$51=2550$$ kg−m​$$/$$​sAfter breaking $$20$$ kg piece travels upwards with $$150$$ $$m/s$$ let the speed of $$30$$ kg mass is V $$Pfinal=20$$×$$150+30$$×VBy the law of conservation of momentum Pinitial $$=Pfinal$$⇒$$2500=20$$×$$150+30$$×V⇒$$V=$$−$$15$$ m​$$/$$​si.e. it moves in downward direction.

A body of mass 50 kg is projected vertically upwards with velocity of 100 m/sec. 5 seconds after this body breaks into 20 kg and 30 kg. If 20 kg piece travels upwards with 150 m/sec, then the velocity of other block will be

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