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Fynjy0 [20]
3 years ago
11

I need this type out answer question.

Physics
1 answer:
AveGali [126]3 years ago
8 0

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:

\displaystyle K=\frac{1}{2}m.v^2

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:

U=m.g.h

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:

U=1.5\ Kg\cdot 9.8 \ m/s^2\cdot 0.5\ m

U=7.35\ J

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:

\displaystyle v=\sqrt{\frac{2K}{m}}

\displaystyle v=\sqrt{\frac{2\cdot 7.35}{1.5}}

\displaystyle v=\sqrt{\frac{14.7}{1.5}}

\displaystyle v=\sqrt{9.8}

v = 3.13 m/s

The velocity of the ball at position A is 3.13 meter/second

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