Question

In: Physics

Under normal conditions, you are just barely able to lift a mass of 91 kg. Your...

Under normal conditions, you are just barely able to lift a mass of 91 kg. Your friend drops a box of volume 7 m3 into a lake. If you are just able to lift it to the surface (so that it is still completely submerged), what is the mass of the box?

Solutions

Expert Solution

To resolve this problem, we should to know over Archimedes' principle

Step 1.

Definition:

Archimedes' principle: indicates that the upward buoyant force that is exerted on a body immersed in a fluid, whether fully or partially submerged, is equal to the weight of the fluid that the body displaces.

Step 2.

ANSWER:

Stating the archimedes' principle says: The Archimedes principle allows the buoyancy of an object partially or wholly immersed in a liquid to be calculated. The downward force on the object is simply its weight. The upward, or buoyant, force on the object is that stated by Archimedes' principle, above. Thus the net upward force on the object is the difference between the buoyant force and its weight. If this net force is positive, the object rises; if negative, the object sinks; and if zero, the object is neutrally buoyant - that is, it remains in place without either rising or sinking. In simple words Archimedes principle states that when a body is partially or completely immersed in a fluid, it experiences an apparent loss in weight which is equal to the weight of the fluid displaced by the immersed part of the body.

and   and weigth of the mass that i can lift, is equal to

we have the following

the gravity are cancelled

If you have any question please let me know in the comments


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