A grenade of mass of 
is fired vertically upwards with a gun. At an altitude of 
, the grenade stops and explodes into two parts with masses 
and 
. The heavier part of the grenade continues to fly vertically upwards and the lighter part vertically downwards. The total energy at the time of the explosion is 
. Assume that the gravitational acceleration is 
and air resistance is ignored.
What is the speed at which each part of the grenade flies after the explosion?
How high is the heavier part of the grenade with mass 
?
What is the speed at which each part of the grenade falls to the ground?
