Solve Free Fall Problem: Tower Height Calculation

In summary, the conversation is discussing a question about calculating the height of a tower when two bodies are thrown from the top with the same initial velocity and angle. The question does not make sense and there is no diagram provided. However, the answer is given as H = (2v^2/g).(cos\alpha1 cos\alpha2 . cos(\alpha1+\alpha2))/sen^2(\alpha1+\alpha2) where v is the initial velocity and g is the acceleration due to gravity. The conversation also mentions the possibility of combining the movement of both bodies to find a solution.
  • #1
PhyNewie
5
0
Can you help me with this please, an approach on how to proced would be great.

Homework Statement


From top of a tower two bodies are dropped with the same velocity Vo and same inclinations [tex]\alpha[/tex]1 [tex]\alpha[/tex]2. both bodies fall in the same point of the ground. Calculate the hight of the tower.

Thank you.
 
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  • #2
The question makes no sense.
Have you stated it correctly?
 
  • #3
AJ Bentley said:
The question makes no sense.
Have you stated it correctly?

From top of a tower two bodies are thrown with the same velocity (Vo) and same inclinations LaTeX Code: \\alpha 1 LaTeX Code: \\alpha 2. both bodies fall in the same point of the ground. Calculate the hight of the tower.

Hi,
yes that is the question, I am also confused..
 
  • #4
Is there a diagram shown in the book? If not, can you draw a diagram of what you think is happening?
 
  • #5
6Stang7 said:
Is there a diagram shown in the book? If not, can you draw a diagram of what you think is happening?

No there is not a diagram,

the answer is: H = (2v^2/g). (cos[tex]\alpha[/tex]1 cos[tex]\alpha[/tex]2 . cos([tex]\alpha[/tex]1+[tex]\alpha[/tex]2))/sen^2([tex]\alpha[/tex]1+[tex]\alpha[/tex]2)

But I can get the relation of combinig the movement of both bodies, as is in the problem both have the same intial velocity and angle.
 

1. How do you calculate the height of a tower using free fall equations?

To calculate the height of a tower using free fall equations, you will need to use the equation h = (1/2)gt^2, where h is the height, g is the acceleration due to gravity (9.8 m/s^2), and t is the time it takes for an object to fall. This equation assumes that the object is dropped from rest at the top of the tower.

2. What are the key variables needed for solving a free fall problem?

The key variables needed for solving a free fall problem are the height of the tower (h), the acceleration due to gravity (g), and the time it takes for an object to fall (t). These variables can be obtained through measurements or given in the problem.

3. Can the free fall equation be used for objects thrown upwards?

No, the free fall equation can only be used for objects dropped from rest. For objects thrown upwards, the equation to use is h = (1/2)gt^2 + v0t, where v0 is the initial velocity.

4. How does air resistance affect the calculation of tower height using free fall equations?

Air resistance can affect the calculation of tower height using free fall equations if the object falling has a large surface area or if the height of the tower is significant. In this case, the air resistance will slow down the object and therefore, the time it takes to fall will be longer and the calculated height will be greater. To account for air resistance, a more complex equation must be used.

5. Are there any limitations to using free fall equations for calculating tower height?

Yes, there are limitations to using free fall equations for calculating tower height. These equations assume that the acceleration due to gravity is constant and that there are no external forces acting on the object. In real-world situations, these assumptions may not be true, leading to inaccurate calculations. Additionally, air resistance can also affect the accuracy of the calculated height, as mentioned in the previous question.

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