# A body of mass (4m) is laying in xy-plane at rest. It suddenly explodes into three pieces. Two pieces each mass (m) move perpedicular to each other with equal speeds (v). Total kinetic energy generated due to explosion is

2mv2

4mv2

mv2

32mv2

## The correct Answer is:D

## mv(ˆi)+mv(ˆj)=2mvs

⇒v3=√v2+v22=√2v2=v√2

KE=12mv2+12mv2+12×2m×(v√2)2

=mv2+mv22=32mv2

### Similar Questions

4m An object of mass xy -The object, which is still at the bottom, suddenly exploded and broke into three pieces. m Two pieces of mass v Velocity is moving at right angles to each other. The total kinetic energy generated by the explosion will be-

View SolutionA body of mass 4m is lying in xy-plane at rest. It suddenly explodes into three pieces. Two pieces, each of mass m move perpendicular to each other with equal speeds v. The total kinetic energy generated due to explosion is

04:52View SolutionA body of mass 4 m is lying in xy - plane at rest. It suddenly explodes into three pieces. Two pieces each of mass m move perpendicular to each other with equal speed v. The total kinetic energy generated due to explosion is

02:10View Solution4 m நிறையுள்ள ஒரு பொருள் - தளத்தில் ஓய்வு நிலையில் உள்ளது. அது திடீரென மூன்று துண்டுகளாக வெடித்துச் சிதறுகிறது. m நிறையுள்ள இரு துண்டுகள் v என்ற சம வேகத்தில் ஒன்றுக்கொன்று செங்குத்தாக இயங்குகிறது. வெடிப்பினால் உருவாக்கப்பட்ட மொத்த இயக்க ஆற்றல்.

View SolutionA 4 m mass object placed in a state of explosion detonates into three pieces. If two pieces of equal mass m move at a speed v perpendicular to each other, the total kinetic energy generated will be:

08:45View SolutionA body of mass 4m at rest explodes into three pieces. Two of the pieces each of mass m move with a speed v each in mutually perpendicular directions. The total kinetic energy released is

02:42View SolutionA body of mass (4m) is lying in x-y plane at rest. It suddenly explodes into three pieces. Two pieces, each of mass (m) move perpendicular to each other with equal speeds (v). The total kinetic energy generated due to explosion is

View SolutionA body of mass (4m) is laying in xy-plane at rest. It suddenly explodes into three pieces. Two pieces each mass (m) move perpedicular to each other with equal speeds (v). Total kinetic energy generated due to explosion is

05:47View Solution