A block of mass m = 3 kg is sliding along a frictionless inclined surface that makes an angle of φφ = 300with respect to the horizontal surface. At the lowest points of the inclined surface, a projectile is fired at a speed of vv0 = 12 m/s that makes an angle θ0 = 450 with respect to the horizontal. Our aim of this problem is to find the time when the projectile will hit the block. Find the time when the projectile hits the block. (Given, the initial distance between the block and the projectile along the inclined surface at t = 0 is RR0 = 10 m as shown in the figure) Find the height h, where the projectile will hit the block. (c) Now assume that the projectile hits the block at its maximum range R along the inclined surface and the block is not sliding at all. Then find the maximum range along the inclined surface, RRmmmmmm = ?

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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.