# A cruise ship with a mass of 1.00 × 10 7 kg strikes a pier at a speed of 0.750 m/s. It comes to rest 6.00 m later, damaging the ship, the pier, and the tugboat captain's finances. Calculate the average force exerted on the pier using the concept of impulse. (Hint: First calculate the time it took to bring the ship to rest.)

### College Physics

1st Edition
Paul Peter Urone + 1 other
Publisher: OpenStax College
ISBN: 9781938168000

Chapter
Section

### College Physics

1st Edition
Paul Peter Urone + 1 other
Publisher: OpenStax College
ISBN: 9781938168000
Chapter 8, Problem 15PE
Textbook Problem
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## A cruise ship with a mass of 1.00 × 10 7 kg strikes a pier at a speed of 0.750 m/s. It comes to rest 6.00 m later, damaging the ship, the pier, and the tugboat captain's finances. Calculate the average force exerted on the pier using the concept of impulse. (Hint: First calculate the time it took to bring the ship to rest.)

To determine

The average force on the pier.

### Explanation of Solution

Given:

Mass of cruise ship m=1×107kg

Initial Speed of ship u=0.75m/s

Final speed of ship v=0

Distance taken by the ship to come at rest d=6m

Calculation:s

We know the velocity acceleration equations

v2=u22as.........(1)

a=u22s

v=uat.............(2)

(a=veretardation)

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