The mechanical energy for the first and the second ball is

Mass of the first ball = 20 kg
The initial speed at which a cannonball is fired from a cannon =1000 m/s
The angle made by the cannonball while being fired from the cannon = 37°
The maximum height reached by the first ball is,



The maximum height of the first cannonball is 17478.69 m.
The initial speed at which a cannonball is fired from a cannon =1000 m/s
The angle made by the cannonball while being fired from the cannon = 90 °

![= \frac{ 1000{}^{2}sin^{2} 90°}{2 \times 9.8}[tex] = 51020.41 \: m](https://tex.z-dn.net/?f=%20%3D%20%20%20%5Cfrac%7B%201000%7B%7D%5E%7B2%7Dsin%5E%7B2%7D%2090%C2%B0%7D%7B2%20%5Ctimes%209.8%7D%5Btex%5D%20%3D%2051020.41%20%5C%3A%20m)
For the first ball, total mechanical energy= Potential energy at maximum height + kinetic energy at the maximum height
So, the total mechanical energy is,
= mgh \: + \frac{1}{2}mv {}^{2} _{x}[/tex]




Therefore, the total mechanical energy for the first and the

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