A 70.0 kg ancient statue lies at the bottom of the sea. Its volume is 30,000 cm3 (= 0.030 m3 ). How much force is needed to lift it? The mass density of seawater is sw = 1030 kg/m3 .

Respuesta :

Answer:

383.18 N are required to lift the statue

Explanation:

Since the statue receives an upward buoyant force that follows the principle of Archimedes ( and is equal to the weight of displaced seawater due to the volume of the statue) , the net force required would be

net force = weight of the statue - upward buoyant force = m*g - ρsw * V *g =

(m- ρsw * V)*g

where

m= mass of the statue = 70.0 kg

V= volume of the statue = = 0.030 m³

g= gravity = 9.8 m/s²

ρsw = mass density of seawater =  1030 kg/m³

replacing values

net force = (m- ρsw * V)*g = (70.0 kg -  1030 kg/m³*0.030 m³)* 9.8 m/s² = 383.18 N

The amount of force needed to lift mass is mathematically given as

Net force= 383.18 N

What is the amount of force needed to lift mass?

Question Parameter(s):

A 70.0 kg ancient statue lies at the bottom of the sea

Volume is 30,000 cm3

Where

net force = weight of the statue - upward buoyant force

Generally, the equation for the   is mathematically given as

net force = m*g - ρsw * V *g

Therefore

net force = (m- ρsw * V)*g

net force= (70.0 kg -  1030 *0.030 )* 9.8  

net force= 383.18 N

In conclusion, The net force is

Net force= 383.18 N

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