Identical cannonballs are fired with the same force, one each from four cannons having respective bore lengths of 1.0 meter, 2.0 meters, 2.5 meters and 3.0 meters. which cannon will have the minimum impulse on the ball if the force acting on the ball increases with the length of the bore?

The minimum impulse and force will be in the cannon of length 1 m.

Explanation:

Identical cannonballs are fired with the same force, one each from four cannons having bores lengths of 1 m, 2 m, 2.5 m, and 3 m. The force acting on the ball increases with the length of the bore.

We have the length of four bores, we need to study the force acting on the ball. As the force increases with the length, if we organize the bores according to the length values, we can estimate the forces. We need the minimum Force.

L1 = 1

L2 = 2

L3 = 2.5

L4 = 3

L4 > L3 > L2 > L1.

As the minimum length is L1, the force of L1 should be the minimum.

F4 > F3 > F2 > F1.

Finally, we can conclude that: The minimum impulse and force will be in the cannon of length 1 m. 

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