a cannon of mass 1200kg, located on a smooth horizontal platform fires a shell of mass 300kg in horizontal direction with a velocity of 400m/s.find the velocity of the cannon after it is shot
class 9th
don't spam
Answers
Mass of the cannon = 1200kg
Mass of the shell = 300kg
Velocity of shell = 400m/s
Velocity of the cannon after it is shot
No net force acts on the system, linear momentum of whole system is conserved.
We know,
momentum (p) = mass (m) × velocity (v) [or] p = mv
Let initial momentum of the whole system will be zero.
Substituting the given values;
Given :
Mass of the cannon = 1200kg
Mass of the shell = 300kg
Velocity of shell = 400m/s
To Find :
Recoil velocity of the cannon.
Solution :
❖ Since no net force acts on the system, linear momentum of whole system is conserved.
We know that momentum is measured as the product of mass and velocity.
It is a scalar quantity having only magnitude.
SI unit : N s
Initial momentum of the whole system will be zero.
m and M denotes masses of shell and cannon respectively.
v and V denotes velocities of shell and cannon respectively.
By substituting the given values;
Note : Negative sign shows opposite direction.