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Net Force

A spring bala...

Question

A spring balance reads $W_{1}$ when a ball is suspended from it. A weighing machine reads $W_{2}$ when a tank of liquid is kept on it. When the ball reads $W_{3}$ and the weighing machine reads $W_{4}$ . Then, which of the following are not correct?

W_{1} < W_{2}

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W_{1} < W_{3}

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W_{2} < W_{4}

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W_{2} > W_{4}

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Solution

The correct options are
A $W_{1} < W_{2}$
C $W_{1} < W_{3}$
D $W_{2} > W_{4}$
$W_{1}, W_{3}$ are the forces exerted by the ball and the spring balance on each other before and after immersion. $W_{2}, W_{4}$ are the forces exerted by the tank and the weighing machine on each other before and after immersion.
Let mm and $M$ be the same masses of the ball and the tank, respectively, and let $N$ be the forces of interaction between the ball and the liquid in the tank
$W_{1} = m g$
$W_{2} = M g$
$W_{3} = N = m g$
$W_{4} = N + M g$

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W_{1}

W_{2}

W_{3}

W_{4}

w_{1}

w_{2}

w_{3}

w_{4}

W_{1}

W_{2}

W_{3}

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W, W_{1}, W_{2}

m_{1} a n d m_{2}

m_{1} a n d m_{2}

m_{1} = 6 k g a n d m_{2} = 2 k g,

m_{1} = 5 k g a n d m_{2} = 3 k g

m_{1} = 4 k g a n d m_{2} = 4 k g .

W_{1}, W_{2} a n d W_{3}

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