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The speed of the pendulum at point 3 is 1.4 m/s
Explanation:
We can solve this problem by using the law of conservation of energy. In fact, the mechanical energy of the pendulum (which is the sum of his potential energy + his kinetic energy) must be conserved. So we can write:
where
is the initial potential energy, at the highest position
is the initial kinetic energy, at the highest position
is the final potential energy, at the lowest position
is the final kinetic energy, at the lowest position
We are told that:
is the potential energy of the pendulum at the maximum height
(when the pendulum is at maximum height, the speed is zero, so the kinetic energy is zero)
(potential energy is zero at the lowest position)
Therefore,
Kinetic energy can be rewritten as
where
m = 10 kg is the mass of the pendulum
v is its speed at point 3
Solving for v,
Learn more about kinetic energy:
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