Answer:
We are given that
The
Mass of person = 135lbm
Weight of person on earth will be
= mass x gravity constant
= 135lbm x 32.174 ft/s2
=4343.49 lbm-ft/s2 x 1 poundal-s2/lbm-ft
= 4343.49 poundal
Again we are given that
Mass of person = 135 lbm
But here remember Mass remains the same
So
Weight of person on moon will be
mass x gravity constant on moon
= 135 lbm x 32.174 ft/s2 x 1/6
= 723.9 lbm-ft/s2 x 1 poundal-s2/lbm-ft
= 723.9poundal
But we know that
1 ft slug / lbf-s2 = 32.174 ft lbm/ lbf-s2
So
1 slug = 32.174 lbm
So then the Mass of person
= 135lbm x 1slug/32.174 lbm
=4.2slugs
So finally
Weight = 405 poundals is same as
405 lbm-ft/s2
So
Mass = 35 slug x 32.174 lbm/slug = 1126.09 lbm
Acceleration rate = weight /mass
= (405 lbm-ft/s2) / (1126.09 lbm)
= 0.3597ft/s2 x 0.305m/ft
= 1.179 m/s²
