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A block of density 2000kg//m^3 and mass ...

A block of density `2000kg//m^3` and mass 10kg is suspended by a spring stiffness `100N//m`. The other end of the spring is attached to a fixed support. The block is completely submerged in a liquid of density `1000kg//m^3`. If the block is in equilibrium position.

A

the elongation of the spring is 1 cm

B

the magnitude of buoyant force acting on the block is 50 N

C

the spring potential potential energy is 12.5 J

D

magnitude of spring force on the block is greater than the weight of the block

Text Solution

Verified by Experts

The correct Answer is:
B, C

`Kx = 10 xx 10 - (1000)/(2000) xx 10 xx 10`
`Kx = 50 N`
`U_("stored") = (1)/(2) xx(100) ((50)/(100))^(2) = (1)/(2) xx(2500)/(100)=12.5 J`
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