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A wooden block floats in water, and a solid steel object is attached to the bottom of the block by a string as in the figure below. If the block remains floating, which of the following statements is valid? (Choose all correct statements.)The tension in the string is less than the weight of the steel object.The buoyant force on the block is equal to the weight of the volume of water it displaces.The buoyant force on the steel object is equal to its weight.The buoyant force on the block is equal to its weight.The tension in the string is equal to the weight of the steel object.

Respuesta :

Thus, the statement 'the buoyant force on the block exerted by the water is equal to the weight of the volume of water displaced by the block' is correct.

In the figure, (FB)block is buoyant force on block, (FB)steel is buoyant force on steel object, Wsteel is weight of the steel object, Wblock is weight of the steel block, and 7 is tension in the string. is

Weight of an object acts always in downwards.

Buoyant force on an object which is placed in a fluid is always upward direction. When the buoyant force is equal to the weight of the object, then the object floats in the fluid.

From the Archimedes principle, the buoyant force exerted by a fluid on an object which is placed in it is equal to the weight of the fluid displaced by the object.

Thus, the statement 'the buoyant force on the block exerted by the water is equal to the weight of the volume of water displaced by the block' is correct.

When the block is floating, the buoyance force supported by the water is equal to the total weight of the block and steel object. Thus, the statement the buoyant force on the block is equal to its weight is not correct.

As the steel object is at rest in the water, then the net force acting on it is zero.

(F ret )steel  =0

T+(F B ) steel -W steel =0 W steel =T+(F B ) steel

Therefore,

T<W steel

Thus, the statement tension in the string is less than weight of the steel object is correct.

If the weight of the steel object is equal to the buoyant force, then the tension in the string should be zero. But the steel object is hanging with the string, so tension never is zero.

Thus, the statement 'the buoyant force on the steel object is equal to its weight' is not correct.

If the tension in the string is equal to the weight of the steel object, then the buoyant force on the steel object should be zero. But any object in a fluid should experiences the buoyant force.

Thus, the statement 'the tension in the string is equal to the weight of the steel object' is not correct.

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