Question

15. A shell is fired from a cannon with
velocity v m/s at an angle o 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/s of the other piece
immediately after the explosion is:
1.3 v cos @ 2.2 v cos
V3v cose
3. 3 cose
4.1
2​

Answer 1

A shell get fired at an angle Θ

Velocity of the shell at highest point will be ν cosθ

Let the mass be m

Speed of first piece will be ν cosθ

So, let the speed of other piece be x

Using conservation of momentum

mv cosθ=m/2 v cosθ+m/2 x

so, x=3 v cosθ