What are the sign conventions for force in physical chemistry?

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In physical chemistry, sign conventions for force are crucial for understanding dynamics. Tension is considered positive, while compression is negative, with force in the direction of motion being positive and opposite force negative. According to the equation F = m * a, positive force results in positive acceleration, while negative force leads to deceleration. For pressure, force directed towards the surface normal is positive, and force against it is negative. Overall, the positive and negative signs reflect the direction of the applied force, emphasizing that force and acceleration are vector quantities with both magnitude and direction.
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hey there! i am taking a physical chemistry course at my college. an assignment given was about miniature machines: "pulling" nanowires. one of the questions asked is concerning the types of sign conventions of force. i have tried to research this topic had have trouble finding out the different sign conventions. help!
 
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Tension is considered positive, compression negative.

Force in the direction of motion is positive, force opposite direction of motion is considered negative.

Think of F = m \ddot{x}

Positive F should yield positive acceleration, negative force yields deceleration.

With respect to pressure (force per unit area), force in direction of surface normal would be positive, force opposite direction of normal would be negative.
 
so these are considered the sign conventions of force? the positive/negative signs depending on the direction of the force of the object and other conditions?
 
Basically, yes.

Force and acceleration are vector quantities - and being so, they have magnitude and direction. The magnitude is always positive. The use of (+) and (-) relates to the direction in which the force is applied.
 
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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