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1.
Momentum = mass x velocity
Momentum = 3.513 x 5.00 = 17.565 kg m sec-1
Momentum in three significant digit = 17.6 kg m sec-1
2.
Moment of Inertia of a body is the inertia of a rotating body with respect to the axis of rotation.
Moment of Inertia of the square plate at the center of the axis (vertical axis) = ma2/6
Moment Inertia at the axis passing through corner = Icenter + m d2 = ma2 + m(a/√2)2 = 2/3 ma2
3.
Speed of the sound in gas
V = √(γRT/m)
R = gas constant(8.314 J/mol K)
T = the absolute temperature
M = the molecular weight of the gas (kg/mol)
g = adiabatic constant = cp/cv
gO2 = 7/5
gHe = 5/3
MO2 = 32
MHe = 4
460 = √(7RT/5x32) ...... (i)
VHe = √(5RT/3x4) ...... (ii)
By solving (i) and (ii) VHe = 1419 m sec-1
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