Answer:
h = 5.05 m
Explanation:
Since there is no energy loss of any kind so here we can use energy conservation
initial kinetic energy = final kinetic energy + final potential energy
[tex]\frac{1}{2}mv_i^2 = \frac{1}{2}mv_f^2 + mgh[/tex]
here we know that
[tex]v_i = 10 m/s[/tex]
[tex]v_f = 1.0 m/s[/tex]
m = 50 kg
now we have
[tex]\frac{1}{2}(50)10^2 = \frac{1}{2}(50)1^2 + 50(9.81)h[/tex]
[tex]2500 = 25 + 490.5h[/tex]
[tex]h = 5.05 m[/tex]