A particle of mass 2m is projected at an angle of with the horizontal with a velocity of . After 1s of explosion, the particle breaks into two equal pieces. As a result of this one part comes to rest. The maximum height from the ground attained by the other part is
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put formula velocity and velocity answer divide by mass formula answer should be Understand
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35 m
Explanation:
Given : v=202 ms−1
∴ Vertical component of velocity u=vsin45o=20 ms−1
Let the height attained by 2m in 1 sec be h1
∴ h1=ut−21gt2
h1=20(1)−21(10)(1)2
⟹h1=15 m
Now at point A, this breaks into two equal pieces such that one comes to rest and the other moves upward with velocity v′
Applying conservation of momentum in y direction :
(2m)u=0+m(v′)
v′=2u=2(20)=40 ms−1
Let the height above point A that the piece attains be h′
∴ 0−(v′)2=2(−g)h′
−402=2(−10)h′ ⟹h′=20 m
Thus total height attained by the piece H=h1+h′=15+20=35 m
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