Answer:
the height of the hill is 8.622 m.
Explanation:
Given;
mass of the cart, m = 90 kg
speed of the cart at the base, v = 13 m/s
Let the height of the hill = h
Apply the principle of conservation of energy, to determine the height of the hill.
¹/₂mv² = mgh
¹/₂v² = gh
[tex]h= \frac{1}{2} \times \frac{v^2}{g} \\\\h = \frac{1}{2} \times \frac{13^2}{9.8} \\\\h = 8.622 \ m[/tex]
Therefore, the height of the hill is 8.622 m.
