What are the differences between True Weight and Apparent Weight?
True Weight: The actual weight of an object ($mg$). | Apparent Weight: How heavy an object feels in a fluid ($F_g - F_b$).
Compare the conditions for floating and sinking.
Floating: Buoyant force is greater than the force of gravity ($F_b > F_g$). | Sinking: Buoyant force is less than the force of gravity ($F_b < F_g$).
What is the difference between mass and density?
Mass: The amount of matter in an object. | Density: Mass per unit volume ($ \rho = \frac{m}{V} $).
Define Buoyancy.
The upward force exerted by a fluid on an object.
What is Archimedes' Principle?
The buoyant force on an object is equal to the weight of the fluid displaced by the object.
Define Apparent Weight.
How heavy an object feels when submerged in a fluid, which is the true weight minus the buoyant force.
What is the formula for density?
Density ($ \rho $) is mass (m) per unit volume (V): $ \rho = \frac{m}{V} $.
Define Buoyant Force.
The upward force exerted by a fluid that opposes the weight of an immersed object.
How do you calculate Buoyant Force?
1. Determine the volume of fluid displaced ($V_{object}$). 2. Find the density of the fluid ($\rho_{fluid}$). 3. Multiply these by the acceleration due to gravity (g): $F_b = V_{object} cdot \rho_{fluid} cdot g$.
How do you calculate Apparent Weight?
1. Calculate the true weight ($F_g = mg$). 2. Calculate the buoyant force ($F_b$). 3. Subtract the buoyant force from the true weight: $W_a = F_g - F_b$.
What are the steps to determine if an object will float or sink?
1. Calculate the buoyant force ($F_b$). 2. Calculate the force of gravity ($F_g$). 3. Compare $F_b$ and $F_g$: If $F_b > F_g$, it floats; if $F_b < F_g$, it sinks; if $F_b = F_g$, it is in equilibrium.