A force of constant magnitude \( F=10 \mathrm{~N} \) acts on a particle moving in a plane such t...

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A force of constant magnitude \( F=10 \mathrm{~N} \) acts on a particle moving in a plane such that it is perpendicular to the velocity \( \vec{v}(|\vec{v}|=v=5 \mathrm{~m} / \mathrm{s}) \) of the body, and the force is always directed towards a fixed point. Then the angle (in radian) turned by the velocity vector of the particle as it covers a distance \( S=10 \mathrm{~m} \) is (take: mass of the particle as \( m=2 \mathrm{~kg}) \)
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