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Q.

A block of mass 1 kg and density 0.8 g/cm3 is held stationary with the help of a string as shown in figure. The tank is accelerating vertically upwards with an acceleration a=1.0 m/s2. Find

Question Image

the tension in the string,

(Take g=10 m/s2 and density of water =103 kg/m3 ).

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a

2.75 N

b

5.75 N

c

8.75 N

d

3.75 N

answer is A.

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Detailed Solution

Free body diagram of the block is shown 

In the figure,

Question Image

F= upthrust force  =ω(g+a) = mass of block  density of block ρω(g+a) =1800(1000)(10+1)=13.75 N w=mg=10 N

Equation of motion of the block is,

F-T-w =m a 

13.75-T-10=1×1 T=2.75 N

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