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Classical Mechanics Level 3

The strength of the force \(F\) acting on a body increases from \(0\) to \(F_{1} = 10 \text{ N}\) at the constant rate of \(10 \text{ Ns}^{-1}\).

During this time, the body, starting from a standstill, reaches the speed of \(v = 50 \text{ ms}^{-1}\).

Calculate the mass of the body in \(\text{kg}\).

Problem taken from the 2015 Italian Physics Olympiad - 2nd Level.

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