8.1.4.17 Geometric and physical applications

Problem: Find the law of linear motion of the material point \( m \) under the action of a repulsive force, inversely proportional to the cube of the distance from the point to the fixed centre (proportionality coefficient \( k>0 \) ). At the initial moment the point is at rest and at a distance \( x_{0} \) from the centre. clip2net.com