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What is the maximum range of the 120mm mortar?

Answer :

Final answer:

The maximum ordnance of a 120mm mortar can be determined by using physics principles related to ballistics and involves calculating the range and height achieved by the projectile when fired at an optimal angle, typically 45 degrees, given its initial velocity.

Explanation:

The question revolves around the kinetic properties of projectiles and artillery systems. This falls under the category of physics, specifically in a sub-field known as ballistics, which entails the study of the motion of projectiles and their launch mechanisms. To calculate the maximum ordnance, or range, of a 120mm mortar, one must consider factors such as the initial velocity of the shell, the angle of projection, and the effects of air resistance, though it is often neglected in simple calculations for educational purposes.

According to given examples, the maximum range of a shell can be calculated using the laws of projectile motion. Given that the maximum horizontal range is achieved at an angle of 45°, we can use the formula R = (v² * sin(2θ)) / g, where 'v' is the initial velocity, 'θ' is the angle of projection, and 'g' is the acceleration due to gravity. For instance, the cannon on a battleship capable of firing a shell a maximum distance of 32.0 km would involve calculating the initial velocity and maximum height, showing the application of kinematic equations to solve ballistic problems.

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