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An object weighs 43 N. It displaces 9 N of water.  While in water, what is the object's weight? Input a whole number answer excluding the unit.

Question

An object weighs 43 N. It displaces 9 N of water.

While in water, what is the object's weight? Input a whole number answer excluding the unit.

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Solution

1. Break Down the Problem

We need to determine the weight of an object while it is submerged in water. The information provided indicates the object's weight in air and the weight of the water it displaces.

2. Relevant Concepts

According to Archimedes' principle, when an object is submerged in a fluid, it experiences an upward buoyant force equal to the weight of the fluid displaced. The effective weight of the object when submerged can be calculated using the formula: Weffective=WobjectWdisplaced water W_{\text{effective}} = W_{\text{object}} - W_{\text{displaced water}}

3. Analysis and Detail

Given:

  • Weight of the object, Wobject=43N W_{\text{object}} = 43 \, \text{N}
  • Weight of the displaced water, Wdisplaced water=9N W_{\text{displaced water}} = 9 \, \text{N}

Now we can substitute these values into the formula: Weffective=43N9N W_{\text{effective}} = 43 \, \text{N} - 9 \, \text{N}

4. Verify and Summarize

Calculating: Weffective=34N W_{\text{effective}} = 34 \, \text{N} So, the effective weight of the object while it is in water is 34N 34 \, \text{N} .

Final Answer

34

This problem has been solved

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