Question

What net external force is exerted on a 1100 , {kg} artillery shell fired from a battleship if the shell is accelerated at 2.40 × 10⁴ , {m/s}²? What is the magnitude of the force exerted on the ship by the artillery shell?

The net external force on the artillery shell is approximately:
a) 26.4 × 10⁴ , {N}
b) 33.0 × 10⁴ , {N}
c) 39.6 × 10⁴ , {N}
d) 45.0 × 10⁴ , {N}

Answer 1

The net external force exerted on the artillery shell is approximately 2.64 × 10^7 N, and the magnitude of the force exerted on the ship by the artillery shell is also approximately 2.64 × 10^7 N.

Step-by-step explanation:

The net external force exerted on the artillery shell can be calculated using Newton's second law, which states that force is equal to mass multiplied by acceleration (F = ma).

Given that the mass of the artillery shell is 1100 kg and the acceleration is 2.40 × 104 m/s², we can calculate the force:

F = (1100 kg) × (2.40 × 104 m/s²) = 2.64 × 107 N

Therefore, the net external force exerted on the artillery shell is approximately 2.64 × 107 N.

The magnitude of the force exerted on the ship by the artillery shell is the same as the force exerted on the shell itself, as per Newton's third law of motion. Therefore, the magnitude of the force exerted on the ship is also approximately 2.64 × 107 N.