Answer:
a) h = 8.02 10³ m b) yes
Explanation:
a) The pressure in a fluid is given by
P = ρ g h
The pressure in this case is the atmospheric pressure, 1.013 105 Pa, let's clear the height (h)
h = P / ρ g
h = 1.013 10⁵ / (1.29 9.8)
h = 8.02 10³ m
b) The height of Mount Everest is 8848 m
It is above this height, according to this model there would be no air to breathe
Answer:
So the sound intensity level they would experience without the earplugs is 110.32dB.
Explanation:
Given data
Sound intensity by factor =215
Sound intensity level =87 dB
To find
Sound intensity level they would experience without the earplugs
Solution
First we need to find the new sound intensity level
So
![I_{n}=215(10^{\frac{87}{10} } )\\I_{n}=1.08*10^{11})](https://tex.z-dn.net/?f=I_%7Bn%7D%3D215%2810%5E%7B%5Cfrac%7B87%7D%7B10%7D%20%7D%20%29%5C%5CI_%7Bn%7D%3D1.08%2A10%5E%7B11%7D%29)
The dB can be calculated as:
![dB=10log(I_{n})\\](https://tex.z-dn.net/?f=dB%3D10log%28I_%7Bn%7D%29%5C%5C)
Substitute the given values
![dB=10log(1.08*10^{11})\\dB=110.32dB](https://tex.z-dn.net/?f=dB%3D10log%281.08%2A10%5E%7B11%7D%29%5C%5CdB%3D110.32dB)
So the sound intensity level they would experience without the earplugs is 110.32dB.
B. the reason we must wear seat belts
Answer:
Explanation:
Given,
- Work done by the rope 900 m/s.
- Angle of inclination of the slope =
![\theta\ =\ 12^o](https://tex.z-dn.net/?f=%5Ctheta%5C%20%3D%5C%2012%5Eo)
- Initial speed of the skier = v = 1.0 m/s
- Length of the inclined surface = d = 8.0 m
part (a)
The rope is doing the work against the gravity on the skier to uplift up to the inclined surface. Therefore the work done by the rope is equal to the work done on the skier due to the gravity
![\therefore W_r\ =\ W_g\ =\ 900\ J](https://tex.z-dn.net/?f=%5Ctherefore%20W_r%5C%20%3D%5C%20W_g%5C%20%3D%5C%20900%5C%20J)
In both cases the height attained by the skier is equal. and the work done by gravity does not depend upon the speed of the skier.
part (b)
- Initial speed of the skier = v = 1.0 m/s.
Rate of the work done by the rope is power of the rope.
![Power\ =\ \dfrac{\Delta W}{\Delta t}\\\Rightarrow P\ =\ \dfrac{\Delta W}{\dfrac{d}{v}}\\\Rightarrow P\ =\ \dfrac{\Delta W\times v}{d}\\\Rightarrow P\ =\ \dfrac{900\times 1.0}{8.0}\\\Rightarrow P\ =\ 112.5\ Watt](https://tex.z-dn.net/?f=Power%5C%20%3D%5C%20%5Cdfrac%7B%5CDelta%20W%7D%7B%5CDelta%20t%7D%5C%5C%5CRightarrow%20P%5C%20%3D%5C%20%5Cdfrac%7B%5CDelta%20W%7D%7B%5Cdfrac%7Bd%7D%7Bv%7D%7D%5C%5C%5CRightarrow%20P%5C%20%3D%5C%20%5Cdfrac%7B%5CDelta%20W%5Ctimes%20v%7D%7Bd%7D%5C%5C%5CRightarrow%20P%5C%20%3D%5C%20%5Cdfrac%7B900%5Ctimes%201.0%7D%7B8.0%7D%5C%5C%5CRightarrow%20P%5C%20%3D%5C%20112.5%5C%20Watt)
Part (c)
- Initial speed of the skier = v = 2.0 m/s.
Rate of the work done by the rope is power of the rope.
![Power\ =\ \dfrac{\Delta W}{\Delta t}\\\Rightarrow P\ =\ \dfrac{\Delta W}{\dfrac{d}{v}}\\\Rightarrow P\ =\ \dfrac{\Delta W\times v}{d}\\\Rightarrow P\ =\ \dfrac{900\times 2.0}{8.0}\\\Rightarrow P\ =\ 225\ Watt](https://tex.z-dn.net/?f=Power%5C%20%3D%5C%20%5Cdfrac%7B%5CDelta%20W%7D%7B%5CDelta%20t%7D%5C%5C%5CRightarrow%20P%5C%20%3D%5C%20%5Cdfrac%7B%5CDelta%20W%7D%7B%5Cdfrac%7Bd%7D%7Bv%7D%7D%5C%5C%5CRightarrow%20P%5C%20%3D%5C%20%5Cdfrac%7B%5CDelta%20W%5Ctimes%20v%7D%7Bd%7D%5C%5C%5CRightarrow%20P%5C%20%3D%5C%20%5Cdfrac%7B900%5Ctimes%202.0%7D%7B8.0%7D%5C%5C%5CRightarrow%20P%5C%20%3D%5C%20225%5C%20Watt)
Answer:
i)-6.25m/s
ii)18 metres
iii)26.5 m/s or 95.4 km/hr
Explanation:
Firstly convert 90km/hr to m/s
90 × 1000/3600 = 25m/s
(i) Apply v^2 = u^2 + 2As...where v(0m/s) is the final speed and u(25m/s) is initial speed and also s is the distance moved through(50 metres)
0 = (25)^2 + 2A(50)
0 = 625 + 100A....then moved the other value to one
-625 = 100A
Hence A = -6.25m/s^2(where the negative just tells us that its deceleration)
(ii) Firstly convert 54km/hr to m/s
In which this is 54 × 1000/3600 = 15m/s
then apply the same formula as that in (i)
0 = (15)^2 + 2(-6.25)s
-225 = -12.5s
Hence the stopping distance = 18metres
(iii) Apply the same formula and always remember that the deceleration values is the same throughout this question
0 = u^2 + 2(-6.25)(56)
u^2 = 700
Hence the speed that the car was travelling at is the,square root of 700 = 26.5m/s
In km/hr....26.5 × 3600/1000 = 95.4 km/hr