A small satellite being designed requires a nitrogen storage tank to store propellant for the cold gas thruster used to maintain
the satellite's orientation. The requirements call for 50.0 kg of N2 to be stored in a rigid container at 5°C and 65.0 bar when the satellite is deployed in space. Assuming that nitrogen is an ideal gas, what is the minimum required size (i.e., volume) of the storage tank? While the satellite awaits launch, it is estimated that the temperature in the tank could reach as high as 45°C. If this happens, what will be the maximum internal pressure that the storage vessel must be able to handle (again, assume nitrogen is an ideal gas)? Finally, use equation of state information about "real" nitrogen gas to to estimate the error in the size of the storage tank you originally calculated (i.e., based on the assumption that nitrogen was an ideal gas.
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The final velocity () of the first astronaut will be greater than the <em>final velocity</em> of the second astronaut (
) to ensure that the total initial momentum of both astronauts is equal to the total final momentum of both astronauts <em>after throwing the ball</em>.
The given parameters;
- Mass of the first astronaut, = m₁
- Mass of the second astronaut, = m₂
- Initial velocity of the first astronaut, = v₁
- Initial velocity of the second astronaut, = v₂ > v₁
- Mass of the ball, = m
- Speed of the ball, = u
- Final velocity of the first astronaut, =
- Final velocity of the second astronaut, =
The final velocity of the first astronaut relative to the second astronaut after throwing the ball is determined by applying the principle of conservation of linear momentum.
if v₂ > v₁, then , to conserve the linear momentum.
Thus, the final velocity () of the first astronaut will be greater than the <em>final velocity</em> of the second astronaut (
) to ensure that the total initial momentum of both astronauts is equal to the total final momentum of both astronauts after throwing the ball.
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Answer:
v = 5.9 x 10⁷ m/s
Explanation:
The kinetic energy of the electron in terms of potential difference is given as:
--------------- equation (1)
where,
e = charge on electron = 1.6 x 10⁻¹⁹ C
V = Potential Difference = 9.9 KV = 9900 Volts
The kinetic energy in general is given as:
--------- equation (2)
where,
m = mass of electron = 9.1 x 10⁻³¹ kg
v = speed of electron = ?
Therefore, comparing equation (1) and equation (2), we get:
<u>v = 5.9 x 10⁷ m/s</u>