Solving the Kinetic Energy of a Baseball

In summary, the problem asks for the kinetic energy of a baseball thrown by an outfielder at a specific speed and angle at its highest point of motion. The solution involves finding the range, using Galileo's formula to find acceleration, and calculating the force using F=ma. The final answer is 11,223.9 Joules.
  • #1
blayman5
43
0

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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  • #2
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
 
  • #3
That means there would be no kinetic energy because of the conservation on energy?
 
  • #4
vox=vocosO =105.679m/s
KE=mv^2/2
=11,223.9 J

Thanks Lowlypion
 

FAQ: Solving the Kinetic Energy of a Baseball

What is kinetic energy?

Kinetic energy is the energy an object possesses due to its motion. In other words, it is the energy that an object has because it is moving.

How do you calculate the kinetic energy of a baseball?

The kinetic energy of a baseball can be calculated using the formula KE= 1/2 x m x v^2, where m is the mass of the baseball and v is its velocity.

Why is calculating kinetic energy important in baseball?

Calculating kinetic energy in baseball is important because it helps us understand and predict the behavior of the ball. It also allows us to compare the kinetic energy of different pitches and determine which ones are most effective.

How does the speed of the baseball affect its kinetic energy?

The speed of the baseball directly affects its kinetic energy. As the speed of the baseball increases, its kinetic energy also increases. This is because the kinetic energy is directly proportional to the square of the velocity.

What factors can affect the kinetic energy of a baseball?

The kinetic energy of a baseball can be affected by its mass and velocity. Other factors such as air resistance, wind speed, and temperature can also have an impact on the kinetic energy of the baseball. The surface and material of the baseball can also affect its kinetic energy.

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