Answer:
Ep = 539 and Ek = 1078 J
Explanation:
From the law of conservation of mechanical energy,
At any point in a mechanical system
Et = Ek +Ep................ Equation 1
Where Et = total Energy of the mechanical system, Ek = Kinetic energy of the system, Ep = Potential Energy of the system.
Et = mgH.................. Equation 2
Where m = mass of the diver, g = acceleration due to gravity, H = Height of the platform above the water surface
Given: m = 55 kg, H = 3 m, g = 9.8 m/s²
Substitute into equation 2
Et = 55(3)(9.8)
Et = 1617 J.
Also,
Ep = mgh............. Equation 3
Where h = height of the diver above the water.
Given: h = 1 m, m = 55 kg.
Substitute into equation 3
Ep = 55(1)(9.8)
Ep = 539 J.
make Ek the subject of equation 1
Ek = Et-Ep
Ek = 1617-539
Ek = 1078 J