How Many displacement vectors shown in the figure above have horizontal components
1 answer:
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Answer:
<em>The ball has 7.35 joules of energy at position B.</em>
<em>The velocity of the ball at position A is 3.13 meter/second</em>
Explanation:
<u>Kinetic and Gravitational Potential Energy</u>
Kinetic energy is the form of energy that an object or a particle has by reason of its motion. An object of mass m and speed v has kinetic energy calculated by:
Gravitational Potential Energy is the form of energy that an object has by reason of its height h relative to a certain reference. It can be calculated as follows:
Where g is the acceleration of gravity.
The figure shows a pendulum with a bob (ball) of mass m=1.5 Kg. When it's pulled to point B, it has a height of h= 0.5 m and set to rest.
The potential energy at that point is:
The ball has 7.35 joules of energy at position B.
When the ball is released, all of the potential energy is transformed into kinetic energy when reaches point A. Thus:
K=7.35 J
From the equation of kinetic energy, we solve for v:
v = 3.13 m/s
The velocity of the ball at position A is 3.13 meter/second