Harder, better, faster, stronger

The strength of the force FF acting on a body increases from 00 to F1=10 NF_{1} = 10 \text{ N} at the constant rate of 10 Ns110 \text{ Ns}^{-1}.

During this time, the body, starting from a standstill, reaches the speed of v=50 ms1v = 50 \text{ ms}^{-1}.

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


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