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A tub has a mass of 0.650 kg and 0.350 kg of rocks are put in it. It floats in fresh water with the top of the tub level with the water line. What is the volume of the tub? PLEASE HELP!!!

User Noixes
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2 Answers

6 votes

Answer:

0.001

Step-by-step explanation:

acellus

User Mikker
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3.6k points
4 votes

Answer: 0.001m^3

Step-by-step explanation:

Given the following :

Mass of tub = 0.650kg

Mass of rock = 0.350kg

In this scenario:

Upthrust is the weight of fluid displaced

Upthrust = Total weight of tub (since the tub floats, and top of tub is level with the water line )

Recall Weight = mass * acceleration due to gravity(g)

g = 9.8m/s

Total mass = (0.650 + 0.350)kg = 1kg

Weight = 1kg × 9.8m/s = 9.8N

Upthrust = 9.8N

Recall: Upthrust = Density × acceleration due to gravity(g)× displaced body volume of fluid

Density of water = 1000kg/m^3

g = 9.8m/s^2

9.8N = 1000 × 9.8 × Volume

9.8 = 9800V

V = 9.8 / 9800

V = 0.001m^3

User Sadmansh
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