A mercury barometer reads 75 cm in a stationary lift. what is the reading does it show when the lift is moving downwards, with an acceleration of 1 m/s^2..????
Answers
Answered by
62
here we have to use Pseudo force connect,
acceleration , a = 1 m/s² is downward so, net acceleration is , anet = (g - a) downward.
now formula will be ,
ρgh' = ρ(g - a)h
Here, h' is final height of barometer ,
⇒ h' = h( 1 - a/g)
Now, put a = 1m/s², g = 10m/s² and h = 75 cm
h' = 75( 1 - 1/10) = 75 × 9/10 = 67.5 cm
Hence, 67.5 cm is the reading does it show when the lift is moving downward , with acceleration of 1 m/s²
acceleration , a = 1 m/s² is downward so, net acceleration is , anet = (g - a) downward.
now formula will be ,
ρgh' = ρ(g - a)h
Here, h' is final height of barometer ,
⇒ h' = h( 1 - a/g)
Now, put a = 1m/s², g = 10m/s² and h = 75 cm
h' = 75( 1 - 1/10) = 75 × 9/10 = 67.5 cm
Hence, 67.5 cm is the reading does it show when the lift is moving downward , with acceleration of 1 m/s²
Answered by
62
Answer:83.33cm
Explanation:
At the time when lift is stationary it reads 75 cm..this means the Po = 75xdensityxg
Now,
the lift is moving downward with acceleration 'a'
Po = hxdensityx(g-a)
75xdensityxg = hxdensityx(g-a)
h = 750/9
h = 83.33cm
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