Answer
given,
weight = 1000 lbf
g = 32.174 ft/s²
mass =[tex] \dfrac{1000}{32.174}[/tex]
m = 31 slug
1 slug = 14.593 kg
m = 31 x 14.593
m = 452.383 Kg
b) weight on moon
 W = m g
  W = 452.383 x 1.62
  W= 732.86 N
c) we know,
  F = m  a
 400 lbf = 31 slugs x a
 a = 12.90 ft/s²
1 ft = 0.304 m
 a = 3.92 m/s²
The mass of the body in kg is 453.55kg
The weight of the body in kg is 734.751N
The body will accelerate at the rate of 3.92m/s
The formula for calculating the weight of the body is expressed as;
[tex]W=mg[/tex]
m is the mass of the object
g is the acceleration due to gravity = 32.174ft/s²
W is the weight of the body = 1000lbf
m = W/g
m = 1000/32.174
m = 31.080 slug
Recall that 1 slug = 14.593 kg
31.080slug = 31.080 * 14.593
31.080 slug = 453.55kg
Hence the mass of the body in kg is 453.55kg
b) Weight = mass * acceleration due to gravity
Weight = 453.55 * 1.62
Weight = 734.751N
c) The formula for calculating the applied force is expressed as F = ma
a = F/m
F = 400lbf
mass = 31 slugs
a = 400/31
a = 12.9ft/s²
Expressing acceleration in m/s² will give 3.92m/s²
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