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A rocket has a mass 340(103) slugs on earth. Specify its mass in SI units, and its weight in SI units.

a) Specify mass of the rocket in SI units.
b) Specify weight of the rocket in SI units.
c) If the rocket is on the moon, where the acceleration due to gravity is gm= 5.30ft/s2, determine to three significant figures its weight in SI units.
d) Determine to three significant figures its mass on the moon in SI units.

Respuesta :

boffeemadrid

Answer:

[tex]49.6\times 10^5\ kg[/tex]

[tex]48.6\times 10^6\ N[/tex]

[tex]80.1\times 10^5\ N[/tex]

[tex]49.6\times 10^5\ kg[/tex]

Explanation:

[tex]1\ slug=14.5939\ kg[/tex]

[tex]340\times 10^3\ slug=340\times 10^3\times 14.5939=4961926\ kg[/tex]

The mass in SI unit is [tex]49.6\times 10^5\ kg[/tex]

Weight would be

[tex]W=mg\\\Rightarrow W=4961926\times 9.81\\\Rightarrow W=48676494.06\ N[/tex]

The weight in SI unit is [tex]48.6\times 10^6\ N[/tex]

[tex]1\ ft/s^2=0.3048\ m/s^2[/tex]

[tex]5.30\ ft/s^2=5.30\times 0.3048=1.61544\ m/s^2[/tex]

[tex]W=mg\\\Rightarrow W=4961926\times 1.61544\\\Rightarrow W=8015693.73744\ N[/tex]

The weight on the moon is [tex]80.1\times 10^5\ N[/tex]

The mass of an object is same anywhere in the universe.

So, the mass of the rocket on Moon is [tex]49.6\times 10^5\ kg[/tex]