Quest assignment question 17 (for my hw)

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The average mass of an automobile in the United States is approximately 1.419 × 10^6 grams, which can be converted to kilograms. Using dimensional analysis, the conversion involves dividing by 1000 grams per kilogram. The calculation yields 1.419 × 10^3 kg, equivalent to 1419 kg. The method used for the conversion is correct, confirming that the answer of 1419 kg is accurate. This demonstrates a proper understanding of unit conversion in physics.
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Homework Statement



The average mass of an automobile in the
United States is about 1.419 × 106 g.
Express this mass in kilograms.

Homework Equations


The Attempt at a Solution



Well I did dimensional analysis doing these exact steps to get the mass in kg: I
1.419 x 10 ^6 g I 1 kg
---------------------------------------- = 1419 kg
I 1000 g
I
*the I's and the --- are the railroad tracks thing for dimensional analysis conversion. sorry it looks weird but i don't know how to put properly put railroad tracks on the computer. :frown: . As u can see I got the answer of 1419 kg, is the answer correct? did i set it all up correct or no? :confused::frown:
 
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3. The Attempt at a Solution

Well I did dimensional analysis doing these exact steps to get the mass in kg:


1.419 x 10^6 g X 1 kg
= 1419 kg.
1000 gThats how i attempted it ^^
 
The average mass of an automobile in the
United States is about 1.419 × 106 g.
Express this mass in kilograms.

I assume that should read 1.419 × 106 g.

There are 1000 grams in a kilogram so simply divide 1.419 × 106 by 1000..

1.419 × 106 / 1 x 103

= 1.419 × 103 kg or 1419 kg
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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