Solving the Kinetic Energy of a Baseball

AI Thread Summary
To find the kinetic energy of a baseball at its highest point, only the horizontal component of its velocity contributes to kinetic energy, as all vertical velocity is converted to potential energy. The baseball, with a mass of 2.01 kg and an initial speed of 108 m/s at an angle of 11.9°, has a horizontal velocity of approximately 105.679 m/s. The kinetic energy at maximum height is calculated using the formula KE = 0.5 * m * v^2, resulting in a value of approximately 11,223.9 J. The discussion emphasizes the importance of understanding energy conservation in projectile motion. The calculations confirm the approach to determining kinetic energy at the peak of the trajectory.
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Homework Statement


An outfielder throws a 2.01 kg baseball at a
speed of 108 m/s and an initial angle of 11.9◦.
What is the kinetic energy of the ball at the
highest point of its motion? Answer in units
of J.


Homework Equations


change KE=W
R=Vi^2/g (sin2O)
V^2=Vi^2+2ax
F=ma
W=Fx


The Attempt at a Solution


Found the range
Plugged it into galileo's formula to find the acceleration
found the force F=ma
multipled by range
Did I go about this correctly?
 
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blayman5 said:

Homework Statement


An outfielder throws a 2.01 kg baseball at a
speed of 108 m/s and an initial angle of 11.9◦.
What is the kinetic energy of the ball at the
highest point of its motion? Answer in units
of J.


Homework Equations


change KE=W
R=Vi^2/g (sin2O)
V^2=Vi^2+2ax
F=ma
W=Fx


The Attempt at a Solution


Found the range
Plugged it into galileo's formula to find the acceleration
found the force F=ma
multipled by range
Did I go about this correctly?

What they are basically asking for is what is the KE at max height.

When the ball's flight is maximum, then all the vertical velocity is stored in potential energy. That leaves only the horizontal component of velocity needed to figure its mV2/2
 
That means there would be no kinetic energy because of the conservation on energy?
 
vox=vocosO =105.679m/s
KE=mv^2/2
=11,223.9 J

Thanks Lowlypion
 
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