Questions
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
detailed solution
Correct option is A
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.Similar Questions
A shell is fired from a cannon with velocity v m/sec at an angle with the horizontal direction. At the highest point in its path it explodes into two pieces of equal mass. One of the pieces retraces its path to the cannon and the speed in m/sec of the other piece immediately after the explosion is
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