The final speed of the rock is 19.8 m/s
Explanation:
We can solve this problem by using the law of conservation of energy: the total mechanical energy of the rock (the sum of potential energy + kinetic energy) must be conserved during the fall. Therefore we can write:
where
:
is the initial potential energy, at the top
is the initial kinetic energy, at the top
is the final potential energy, at the bottom
is the final kinetic energy, at the bottom
We can rewrite the equation as:
where:
m = 5 kg is the mass of the rock
is the acceleration of gravity
is the initial height of the rock
u = 0 is the initial speed
since the rock falls to the ground
v is the final speed
And solving for v, we find the final speed:
Learn more about kinetic energy and potential energy:
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