What is the answer for this weird question?

Classical Mechanics Level 5

Two identical blocks \(A\) and \(B\) of masses \(300\) \(kg\) and \(100\) \(kg\) respectively are placed on each other in two different possible ways on a mass measuring machine whose least count is \(10^{-30}\) kg. In situation \(1\), the block \(B\) is placed on block \(A\). And in situation \(2\), the block \(A\) is placed on block \(B\). Let the reading of masses shown by machine in situation \(1\) be \(m_{1}\) and that in situation \(2\) be \(m_{2}\).

Find the value of \(\lfloor 10^{15} \times (m_{2} - m_{1}) \rfloor \).

Details and Assumptions:

  • The two masses are identical and the height of both blocks is \(1m\) and base area is \(10000 m^{2}\).

  • Take acceleration due to gravity equal to \(10 m/s^{2}\).

  • The mass measuring machine is of high accuracy. It measures the mass of objects very accurately without any error up to the limit of its least count.

  • \(\lfloor k \rfloor\) is the greatest integer funtion. Example, \(\lfloor 2.3 \rfloor = 2\).


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