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A 2.7 kg metal weight is made up of metal whose density is 2500 kg/m3. This weight hangs by a light rope. The weight is then fully submerged in water. What is the tension in the rope? The density of water is 1000 kg/m3.
        
A.53 N
        
B.58 N
        
C.41 N
        
D.16 N
        
E.46 N

 Jul 20, 2016
 #1
avatar+33661 
+5

Tension in rope when out of water 2.7g ≈ 27N

 

When weight is submerged in water it experiences an up thrust equal to the weight of water displaced. This reduces the tension in the rope, so the only possible answer of those supplied is D.

 

(To do the calculation:

 

Volume of weight = 2.7/2500 m^3. This is the volume of water displaced, hence the weight of water displaced is (2.7/2500)*1000*10 N. (Taking g ≈ 10m/s^2)

 

Subtract this from the 27N to get something close to 16N)

.

 Jul 20, 2016
 #2
avatar+244 
0

Thank You so much:) can you pelase help me with my next few questions?

DamienDenninson  Jul 20, 2016

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