Question

An object will _____ if the weight of the liquid displaced is less than the weight of the object.

Answer 1

I am not exactly sure the answer that you are looking for, but I will guess on what you might be looking for. If the weight of an object is greater than the weight of the liquid it's being put into, the object will sink. Although, it isn't necessarily just based upon weight, it is more dependent on density to decide if it'll float or sink.

Answer 2

Answer:

It will sink

Explanation:

Hi, this is the result of the Archimedes principle, that states that the push force an object receives from the liquid it is submerged in, is proportional to the volume it displace.

As can be seen in the figure, there are two opposite forces interacting, the weight of the object (P) and the push force (E).

• If P is higher than E the object will sink
• If P is lower than E the object will float
• If they are equal the object will be in submerged in equilibrium.

In equations:

$P=m*g$ where g is gravity

$E=\rho_{liq}*V_{liq}*g$

Also $\rho_{liq}*V_{liq}=m_{liq}$

So: $\frac{P}{E}=\frac{m*g}{m_{liq}*g}$

$\frac{P}{E}=\frac{m}{m_{liq}}$

If m is higher than m_liq, it means that P is higher than E and the object will sink.