The displacement z of a particle of rest mass m0, resulting from a constant force m0g along the z-axis is including relativistic effect. find the displacement z as a power series in time t. compare with the classical result,

Hi, your question was incomplete, hence I am writing down the complete question below.

Q)The displacement x of a particle of rest mass m0, resulting from a constant force m0g along the  x-axis, is

x= c2/g{[1+(gt/c)2]power0.5-1}

including relativistic effects. Find the displacement x as a power series in time t. Compare with  the classical result.

Explanation:

n N2(g) = 15.367 mol

Explanation:

airbags generally vary between 35 and 60 liters in volume and for the airbag system to activate, it takes about 20 Kgf/cm² of pressure; with this data taken from literature and knowing the temperature of reaction (495 °C), we determine the moles of nitrogen needed from the ideal gas law.

ideal gas law:

∴ P = 20 Kgf/cm² * ( 0.9678 atm / Kgf/cm² ) = 19.356 atm

∴ V = 50 L average volume

∴ R = 0.082 atm * L / K * mol

∴ T = 495°C + 273 = 768 K

⇒ n = PV / RT

⇒ n = ((19.356 atm) * (50 L)) / ((0.082atm*L/K*mol) * (768K))

⇒ n = 15.367 mol N2(g)