PhysicsClassical Physics

Impulse Momentum Theorem: Average Force When a Cruise Ship Stops

Apply the impulse momentum theorem to a stopping cruise ship, calculate the average force on the pier, and make the constant-deceleration assumption explicit.

Question

A cruise ship of mass 1.00 × 10^7 kg strikes a pier at 0.750 m/s and comes to rest after moving another 6.00 m. Use impulse to calculate the average force that the ship exerts on the pier. Hint: first calculate the stopping time.

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Evidence boundary

The official solution adopts the constant-deceleration model when it uses the mean speed (vi+vf)/2. Stopping distance alone does not determine a general time-average force or impact-force history. This assumption must be explicit in the answer and Evidence Boundary, not presented as a measured fact. The pier is treated as the dominant horizontal stopping agent, matching the official idealized solution. The result is an average, not a peak force or an observed crash measurement.