Answer:
Potential energy [tex]P_E = 2000 J[/tex]
Explanation:
Given data
Weight of the person = 1000 N
Mass of the person = [tex]\frac{1000}{9.81} = 102 kg[/tex]
Speed = 6.26 [tex]\frac{m}{s}[/tex]
Kinetic energy is given by
[tex]E_K = \frac{1}{2} m v^{2}[/tex]
Put the values in above formula we get
[tex]E_K = \frac{1}{2}(102) 6.26^{2}[/tex]
[tex]E_K = 2000 J[/tex]
When the person reach top point then at this point the velocity is zero & kinetic energy at top point is equals to the potential energy.
Therefore potential energy
[tex]P_E = 2000 J[/tex]