Final answer:
The net external force exerted on a 1150-kg artillery shell accelerated at 2.60 × 10⁴ m/s² is calculated using Newton's Second Law and is found to be 2.99 × 10⁷ N.
Step-by-step explanation:
The question is asking to calculate the net external force exerted on an artillery shell using its mass and acceleration, based on Newton's Second Law of Motion, which states F = ma, where F is the force applied, m is the mass of the object, and a is the acceleration. To solve this, we multiply the shell's mass (1150 kg) by the given acceleration (2.60 × 10⁴ m/s²).
The net external force is:
F = maF = 1150 kg × 2.60 × 10⁴ m/s²F = 2.99 × 10⁷ N
This force is also the magnitude of the force exerted on the ship by the artillery shell according to Newtons Third Law, which states that for every action, there is an equal and opposite reaction.