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  4. A wooden block of mass 1 kg and density 800 kg m- 3 is held stationary, with the help of a string, in a container filled with water of density 1000 kg m- 3, as shown in the figure. If the container is moved upwards with an acceleration of 2 ms- 2 , then the tension in the string will be ( take g=10 ms- 2 ) <img class=img-fluid question-image alt=Question src=https://cdn.tardigrade.in/q/nta/p-kmc5yi4l1rqrhhad.jpg />

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Q. A wooden block of mass $1\,kg$ and density $800 \, kg\,m^{- 3}$ is held stationary, with the help of a string, in a container filled with water of density $1000\,kg\,m^{- 3,}$ as shown in the figure. If the container is moved upwards with an acceleration of $2\,ms^{- 2}$ , then the tension in the string will be ( take $g=10\,ms^{- 2}$ )
Question

NTA AbhyasNTA Abhyas 2022

Solution:

$W^{′}=m\left(\right.g+a\left.\right)=1\times 12=12 \, N$
$B^{\prime}=\rho_{l} \times v \times(g+a)=1000 \times \frac{1}{800} \times(12)=15 \quad N$
$\therefore \, T=B^{′}-W^{′}=15-12=3N$