What is the accelerating force of a bullet in a 10cm gun barrel?

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To find the accelerating force of a 10g bullet in a 10cm gun barrel, first convert the mass to kilograms and the length to meters. Using the equation v^2 = vo^2 + 2a(x - xo), rearrange to solve for acceleration (a). Then, apply F = ma to calculate the force. The initial confusion stemmed from unit conversion, which is crucial for accurate results. Proper attention to units is essential in physics calculations.
Gradyjenkinz
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Homework Statement

[/B]A 10g bullet accelerates from rest to 500m/s in a gun barrel of length 10cm. Find the accelerating force (assuming it is constant).

Homework Equations


F=ma, v^2=vo^2+2a(x-xo)?

The Attempt at a Solution


I tried using F=ma, but it does not equal the answer in the back of the book.
 
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Have you converted the mass and length into kg and m? Then rearrange v2=vo2+2ax to find a. Then sub that into F=ma.
 
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Issy04 said:
Have you converted the mass and length into kg and m? Then rearrange v2=vo2+2ax to find a. Then sub that into F=ma.
Oh jeez. Got it now, thank you. Gotta make sure I actually pay attention to units :(
 
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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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