Answer:
[tex]K=4\times 10^4\ J[/tex]
Explanation:
Given that,
Mass of cannon is,M = 2000 kg
Mass of projectile, m = 2 kg
Velocity of the projectile, v = 200 m/s
We need to find the kinetic energy of the projectile. We know that the formula for the kinetic energy of an object is given by :
[tex]K=\dfrac{1}{2}mv^2\\\\\text{Putting all the values, we get}\\\\K=\dfrac{1}{2}\times 2\times (200)^2\\\\K=40000\ J[/tex]
or
[tex]K=4\times 10^4\ J[/tex]
So, the kinetic energy of the projectile will be [tex]4\times 10^4\ J[/tex].