To solve the problem it is necessary to apply the definition of Newton's second Law and the definition of density.
Density means the relationship between volume and mass:

While Newton's second law expresses that force is given by
F = ma
Where,
m = mass
a= acceleration (gravity at this case)
In the case of the given data we have to,


In equilibrium, the entire system is equal to zero, therefore


Where,
Weight of balloon
Weight of helium gas
Bouyant force
Then we have,


Replacing the values we have that


Now by ideal gas law we have that



But the relation \frac{n}{m} is equal to the inverse of molar mass, that is



Therefore the pressure of the helium gas assuming it is ideal is 0.61Mpa
A mercury barometer is a device that is used to measure atmospheric pressure at a location. :)
Answer:
A) 580m
B) 0 m/s
C) 9.8m/s^2
D) downward
E) 10.87s
F) 106.62 m/s
Explanation:
A) The distance traveled by the rocket is calculated by using the following expression:

a: acceleration of the rocket = 2.90 m/s^2
t: time of the flight = 20.0 s

B) In the highest point the rocket has a velocity with magnitude zero v = 0m/s because there the rocket stops.
C) The engines of the rocket suddenly fails in the highest point. There, the acceleration of the rocket is due to the gravitational force, that is 9.8 m/s^2
D) The acceleration points downward
E) The time the rocket takes to return to the ground is given by:

10.87 seconds
F) The velocity just before the rocket arrives to the ground is:

<span>They occur when the Earth, the Sun, and the Moon are in a line. </span>
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