How to solve mechanical enery

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Providing some information about mechanical energy. 

Mechanical energy is the energy possessed by a body by virtue of its position and motion. There are two kinds of mechanical energies.
Potential energy: Energy of the body because of its position. PE of a body of mass m at a height h from the surface of earth , mgh. (g is earths acceleration due to gravity)
Kinetic energy: Energy of the body because of its motion. KE of a body of mass m moving with speed v will be, (1/2)mv2.
 
Examples of mechanical energy.

1.Particle thrown vertically under gravity.
2. Oscillation of simple pendulum.
3. Oscillation of block tied with spring
4. whirling of stone tied with string in vertical circular path.
jumping of horse over an obstacle.

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