The 100 kg sphere A is released from rest at an angle of α from the vertical, and hits the 10 kg block B (initially at rest), causing block B to have an initial velocity of 5 m/s as it enters the circular ramp (radius = 5 m) and stop temporarily at a final height h. The coefficient of restitution between sphere A and the block B is 0.6. Assume all surfaces are frictionless. Also assume direct impact between A and B. What is the velocity of A just before it hits block B? And what is the length of the rope l, if angle alpha is 30 degrees

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Central Force

Central force is the force that acts along the center of mass of one body to the center of mass of another body. Its direction from or away from a point on a body to another is called the center of the force. Such forces include gravitational force between two massive objects or electrostatic forces between two charged particles. So from atoms to planets, the central forces play an important role in shaping our daily lives. One of the remarkable features of central forces is that they are conservative, i.e. the total energy of a central force system can always be expressed as a gradient of a potential energy function.