A shell is fired from a cannon with velocity m/s 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, then the speed in m/s of the other piece immediately after the explosion is

a)

3

b)

2

c)

d)

Question

Question ID - 100242 :-

A shell is fired from a cannon with velocity m/s 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, then the speed in m/s of the other piece immediately after the explosion is

a)

3

b)

2

c)

d)

1 Answer

5876 Votes

score 3537 · Accepted Answer

Answer Key : (a) -

(a)

In case of projectile motion as at the highest point

and

The initial linear momentum of the system will be

Now as force of blasting is internal and force of gravity is vertical, so linear momentum of the system along horizontal is conserved, i.e.,

But it is given that and as one part retraces its path,

Solving, we get

In problem 5, the moment of inertia of the system about an axis passing through the point of intersection of diagonals and perpendicular to the plane of the square is
a)		b)		c)		d)