suppose a plate- glass window falss out of place from the top floor of the Bionic Tower. althought the window`s speed is only 6.32 cm/s
what happend? Did the glass break?
you're looking for the heighth of the tower, i have the same question. i got the answer to be 1224.5 meters tall. I know this may seem really tall but in the question it says it will provide working space for 100,000 people.
you get the answer by taking the displacement it has from the building when it hits the ground (x) and divide it by the horizontal velocity (Vx) you should convert the cm/s to m/s. Doing this will give you the time it took the glass to fall. You then plug that into the equation y = 1/2 g*t^2 (g being the acceleration due to gravity) and that will give you the heighth.
That really is it. Good luck
To calculate the time it takes for the plate-glass window to fall from the top floor of the Bionic Tower, we need to make a few assumptions and use a mathematical formula.
First, we'll assume that the window is dropped vertically and that there is no air resistance affecting its motion. This is an ideal scenario to simplify the calculation.
Next, we'll consider the equation of motion for an object in free fall, which is given by:
d = (1/2) * g * t^2
Where:
- d is the distance or height the window falls (we'll assume it's the height of the Bionic Tower)
- g is the acceleration due to gravity (approximately 9.8 m/s^2)
- t is the time it takes for the window to fall
Given that the speed of the window is 6.32 cm/s, we can convert it to meters per second:
v = 6.32 cm/s = 0.0632 m/s
We can now use this information to solve for the time, t:
d = (1/2) * g * t^2
Bionic Tower height = d
g = 9.8 m/s^2
Rearranging the equation and substituting the values:
t^2 = (2 * d) / g
t = sqrt((2 * d) / g)
For example, if the height of the Bionic Tower is 400 meters, then:
t = sqrt((2 * 400) / 9.8)
t ≈ 8.04 seconds
Therefore, it would take approximately 8.04 seconds for the plate-glass window to fall from the top floor of the Bionic Tower if its speed is only 6.32 cm/s.