Calculate Height of Building from Stone Dropping Velocity

In summary, The conversation discusses the formula for velocity using the relativistic mass equation and the basics of solving a free fall problem. The initial velocity is given as zero and the final velocity is 19.4 m/s. The formula for velocity using the relativistic mass equation is v=sqrt(c^2-(restmass^2*c^2)/m^2). It is suggested to learn the basics before including non-measurable relativistic effects.
  • #1
kingyof2thejring
82
0
A stone dropped from the roof of a building hits the ground traveling at speed 19.4 m s-1 . How tall is the building, in m?

is the final velocity 0? or what do you calculate first? to get s
thanks in advance
 
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  • #2
The initial velocity is zero, you are given the final velocity. What equations do you have that include your givens and the distance of the fall.
 
  • #3
relativistic motion

does anyone know the formula for v using the relativistic mass equation

i get v= the sqroot of(c^2- (restmass^2*c^2)/m^2)
rearrangeing the formula
 
  • #4
cheers mate
 
  • #5
You would be best off to learn the basics before including non measurable (for this problem) relativistic effects.
 
  • #6
Please look where do you post things. I just understood your mistake becauseI have even seenthe other post. Try being a bit carefulnext time. Anyway you have a contrasting character of not being able to solve a free fall problem and then talk about the formula whose understanding is beyond the scope of introductory physics.
 
  • #7
OMG.. I tot this was a kinematics problem..?!>">!"?!">
 

1. How do you calculate the height of a building using stone dropping velocity?

To calculate the height of a building, you need to measure the time it takes for a stone to fall from the top of the building to the ground. This is known as the falling time. Then, using the equation h = 1/2 * g * t^2, where h is the height, g is the acceleration due to gravity (9.8 m/s^2), and t is the falling time, you can calculate the height of the building.

2. What equipment is needed to perform this calculation?

To measure the falling time, you will need a stopwatch or a timer. Additionally, a stone or any small object that can be dropped from the top of the building is needed. Other optional equipment may include a measuring tape or ruler to measure the height of the building.

3. Are there any limitations to this method of calculating building height?

Yes, there are a few limitations to this method. One limitation is that it assumes a constant acceleration due to gravity, which may not be the case in all locations. Another limitation is that the dropping velocity of the stone may be affected by air resistance, which can affect the accuracy of the calculation.

4. Can this method be used for all types of buildings?

This method can be used for most buildings, as long as the height is not too great that the falling time becomes too long to measure accurately. Additionally, this method is more suitable for tall, vertical buildings rather than slanted or irregularly shaped buildings.

5. How accurate is this method in determining the height of a building?

The accuracy of this method can vary depending on the precision of the equipment used and the accuracy of the measurement of the falling time. However, with proper equipment and careful measurements, this method can provide a fairly accurate estimation of the height of a building.

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