You throw a glove straight upward to celebrate a victory. Its initial kinetic energy is K and it reaches a maximum height h. Wha
1 answer:
Answer:
K/2
Explanation:
The law of conservation of mechanical energy states that the sum of the kinetic and potential energies is a constant at any point.
At maximum height, the glove has purely potential energy but at the bottom, it has purely kinetic energy.
The potential energy at the top = kinetic energy at the bottom. The potential energy is given by
At half height, this potential energy is
At this height, PE + KE = Constant = KE at bottom or PE at maximum height.
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The formula for the rotational kinetic energy is
where I is the moment of inertia. This is just mass times the square of the perpendicular distance to the axis of rotation. In other words, the radius of the propeller or this is equivalent to the length of the rod. ω is the angular velocity. We determine I and ω first.
ω = 573 rev/min * (2π rad/rev) * (1 min/60 s) = 60 rad/s
Then,
where I is the moment of inertia. This is just mass times the square of the perpendicular distance to the axis of rotation. In other words, the radius of the propeller or this is equivalent to the length of the rod. ω is the angular velocity. We determine I and ω first.
ω = 573 rev/min * (2π rad/rev) * (1 min/60 s) = 60 rad/s
Then,