Given that,
Mass of object, m = 55 kg
Mechanical energy of the object, M = 4306 J
Potential energy, P = 2940 J
We know that the mechanical energy is the sum of kinetic and potential energy such that,
Mechanical energy = kinetic energy + potential energy
[tex]K=M-P\\\\K=4306-2940\\\\K=1366\ J[/tex]
Kinetic energy is given by :
[tex]K=\dfrac{1}{2}mv^2[/tex]v is velocity of object
[tex]v=\sqrt{\dfrac{2K}{m}} \\\\v=\sqrt{\dfrac{2\times 1366}{55}} \\\\v=7.04\ m/s[/tex]
So, the velocity of object is 7.04 m/s.
