   Chapter 9, Problem 19P

Chapter
Section
Textbook Problem

A small ferryboat is 4.00 m wide and 6.00 m long. When a loaded truck pulls onto it, the boat sinks an additional 4.00 cm into the river. What is the weight of the truck?

To determine
The weight of the truck.

Explanation
The boat continues to sink until the weight of the additional water displaced equals the weight of the ferryboat.

Given info: The area of the boat is 4.00m×6.00m , the additional sink of the boat is 4.00cm , acceleration due to gravity is 9.80m/s2 , density of water is 103kg/m3 .

The formula for weight of the boat is,

W=[ρwater(ΔV)]g

• ρwater is density of water.
• ΔV is volume of the boat.
• g is acceleration due to gravity.

Substitute 4.00m×6.00m×(4.00×102m) for ΔV , 103kg/m3 for ρ , and 9

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