Answer:
The ladder is moving at the rate of 0.65 ft/s
Explanation:
A 16-foot ladder is leaning against a building. If the bottom of the ladder is sliding along the pavement directly away from the building at 2 feet/second. We need to find the rate at which the top of the ladder moving down when the foot of the ladder is 5 feet from the wall.
The attached figure shows whole description such that,
.........(1)
![\dfrac{dx}{dt}=2\ ft/s](https://tex.z-dn.net/?f=%5Cdfrac%7Bdx%7D%7Bdt%7D%3D2%5C%20ft%2Fs)
We need to find,
at x = 5 ft
Differentiating equation (1) wrt t as :
![2x.\dfrac{dx}{dt}+2y.\dfrac{dy}{dt}=0](https://tex.z-dn.net/?f=2x.%5Cdfrac%7Bdx%7D%7Bdt%7D%2B2y.%5Cdfrac%7Bdy%7D%7Bdt%7D%3D0)
![2x+y\dfrac{dy}{dt}=0](https://tex.z-dn.net/?f=2x%2By%5Cdfrac%7Bdy%7D%7Bdt%7D%3D0)
![\dfrac{dy}{dt}=-\dfrac{2x}{y}](https://tex.z-dn.net/?f=%5Cdfrac%7Bdy%7D%7Bdt%7D%3D-%5Cdfrac%7B2x%7D%7By%7D)
Since, ![y=\sqrt{256-x^2}](https://tex.z-dn.net/?f=y%3D%5Csqrt%7B256-x%5E2%7D)
![\dfrac{dy}{dt}=-\dfrac{2x}{\sqrt{256-x^2}}](https://tex.z-dn.net/?f=%5Cdfrac%7Bdy%7D%7Bdt%7D%3D-%5Cdfrac%7B2x%7D%7B%5Csqrt%7B256-x%5E2%7D%7D)
At x = 5 ft,
![\dfrac{dy}{dt}=-\dfrac{2\times 5}{\sqrt{256-5^2}}](https://tex.z-dn.net/?f=%5Cdfrac%7Bdy%7D%7Bdt%7D%3D-%5Cdfrac%7B2%5Ctimes%205%7D%7B%5Csqrt%7B256-5%5E2%7D%7D)
![\dfrac{dy}{dt}=0.65](https://tex.z-dn.net/?f=%5Cdfrac%7Bdy%7D%7Bdt%7D%3D0.65)
So, the ladder is moving down at the rate of 0.65 ft/s. Hence, this is the required solution.
First, we need to find the acceleration
F = ma
9850 N = (815 kg + 61 kg)a
a = 11.24
the read of the scale during the acceleration is :
mg + ma
= (61 kg x 9.8) + (61 kg x 11.24)
= 1283.4 N
hope this helps
Answer:
Alpha is the least penetrating radiation listed below.
Gamma is the most penetrating radiation in the given list.
These rays can be used to detect cancer, sterilizing the medical instrument, smoke detector, etc.
Radiation emitted from the radioactive elements also have very harmful. They affect the living being a lot. Waste from the nuclear reactor also contains harmful radiation which causes Land pollution if not disposed of properly.
When it travels 3m ,4m and 5m it means 12m is right answer.
Answer:
None, egg cells don't have chromosomes. No, sex cells do have chromosomes. Meiosis reduces chromosome number so that sex cells (eggs and sperm) have a half set of chromosomes–one homolog of each pair. This is the haploid number.