A rocket has a mass 250 (10^3) slugs on earth. Specify its mass in SI units, and

Question

A rocket has a mass 250 (10^3) slugs on earth. Specify its mass in SI units, and its weight in SI units. If the rocket is on the moon, where the acceleration due to gravity is g_m = 5.30 ft/s^2, determine to three significant figures its weight in SI units, and its mass in SI units. Evaluate each of the following to three figures and express each answer in SI units using an appropriate prefix: (0.631 Mm)/(8.60 kg)^2 (35 mm)^2 (48 kg)^3. Evaluate each of the following to three figures and express each answer in SI units using an

Explanation / Answer

Given,

M = 250 x 103 Slugs ;

a) The SI unit of mass is kg.

1 Slug = 14.59 kg

M = 250 x 103 Slugs x 14.59 kg / 1 Slug = 3647.5 x 103 Kg

Hence, M = 3647.5 x 103 Kg = 3.65 x 106 kgs

b)Its weight on earth will be:

W = Mg = 3.65 x 106 kgs x 9.8 m/s^2 = 35.77 x 106 N

Hence, W = 35.77 x 106 N

c)g(moon) = 5.3 ft/s^2 = 5.3 ft/s^2 x 0.3048 m / 1 ft = 1.615 m/s^2

W(moon) = M x g(moon) = 3.65 x 106 kg x 1.615 m/s^2 = 5.89 x 106 N

Hence, W(moon) = 5.89 x 106 N

d)Mass on moon will be the same, that is:

M =  3.65 x 106 kg

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