Explanation:
It is given that,
Mass of the rocket, [tex]m=250\times 10^3\ slugs[/tex]
(a) The SI unit of mass is kilogram (kg). The relation between slugs and the kg is given by :
1 slug = 14.59 kg
So, [tex]250\times 10^3\ slugs=250\times 10^3\times 14.59[/tex]
Mass of the rocket, m = 3647500 kg
(b) Weight of the rocket is given by :
W = m g
[tex]W=3647500\times 9.8=35745500\ N[/tex]
or
[tex]W=3.5\times 10^7\ N[/tex]
(c) If the rocket is placed on the moon. The acceleration due to gravity on the moon is, [tex]a=5.3\ ft/s^2=1.61\ m/s^2[/tex]
Mass is the amount of matter contained inside the object. So, the mass of the rocket remains the same i.e. 3647500 kg
Weight of the rocket on the moon is, [tex]W=mg[/tex]
[tex]W=3647500\times 1.61[/tex]
W = 5872475 N
or
[tex]W=5.8\times 10^6\ N[/tex]
Hence, this is the required solution.
