Bassball starting from rest atop 100m building

In summary, the problem involves calculating the velocity of an object that is dropped from a height of 100 meters and experiencing gravity and a retarding force proportional to the square of its speed. The equation used is F= -mg-W, and the object has a radius of .0366m and a mass of .145 kg. The attempt at a solution involves solving a differential equation and using the equation v=((e^(-2kx)-g)/k)^.5 with k=.5cwpA, but it does not produce a graph for high values of k. Further clarification is needed on what the desired calculation is.
  • #1
dray
2
0

Homework Statement


perform a calculation for an object moving vertically in air under gravity and experiencing a retarding force proportional to the square of the objects speed. see (W=.5(cwpAv2)

Object is dropped off a 100 meter building from rest.
radius of object = .0366m
mass = .145 kg
cw=.5


Homework Equations


F= -mg-W


The Attempt at a Solution



trying to find the velocity I get v=((e^(-2kx)-g)/k)^.5 where k= .5cwpA

but when I graph it for high values of k I get no graph
 
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  • #2
Presumably, you have solved a differential equation. what is that equation and how did you get the solution. What does the statement "perform a calculation for an object ..." mean? What are we calculating? You need to be clearer so we can help you.
 

Related to Bassball starting from rest atop 100m building

1. How long will it take for the baseball to reach the ground?

The time it takes for the baseball to reach the ground can be calculated using the formula t = √(2h/g), where t is the time in seconds, h is the initial height (in this case, 100 meters), and g is the acceleration due to gravity (9.8 m/s²). Plugging in the values, we get t = √(2*100/9.8) = √20.41 ≈ 4.5 seconds.

2. What is the initial velocity of the baseball?

The initial velocity of the baseball is 0 m/s, as it is starting from rest.

3. How far will the baseball travel horizontally before hitting the ground?

The horizontal distance traveled by the baseball can be calculated using the formula d = vt, where d is the distance, v is the initial velocity (0 m/s), and t is the time (4.5 seconds). Therefore, the baseball will travel 0 meters horizontally before hitting the ground.

4. How does air resistance affect the motion of the baseball?

Air resistance, also known as drag force, can affect the motion of the baseball by slowing it down as it falls towards the ground. This is because air resistance acts in the opposite direction of the baseball's motion, causing a decrease in its velocity. However, at the height of 100 meters, the effect of air resistance is minimal and can be ignored.

5. Can the initial height of the baseball be changed to affect its motion?

Yes, the initial height of the baseball can be changed to affect its motion. The higher the initial height, the longer it will take for the baseball to reach the ground and the greater the velocity it will have upon impact. This is because the higher the starting point, the more potential energy the baseball has, which is converted into kinetic energy as it falls.

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