Answer:
Weight = 3891.6 N
Explanation: Given that a body has half of the mass and the radius of the earth, that is,
Mass M = 1/2 × 5.972 × 10^24 kg
Where 5.972 × 10^24 kg is the mass of the earth.
M = mass of the body
M = 2.986 × 10^24 kg
r = 1/2 × 6400 m
Where 6400 kilometre is the radius of the earth and r is the radius of the body.
r = 3200 km
To find the weight, let us first find the gravitational strength of the object by using the formula
g = GM/r^2
Where G = 6.67408 × 10-11 m3kg-1 s-2
g = (6.67408 × 10^-11 × 5.972 × 10^24 ) ÷ (3200 ×1000) ^2
g = 3.985 × 10^14/1.024 × 10^13
g = 38.9 m/s^2
Formula for weight = mg
Where m = 100kg
Weight = 100 × 38.9
Weight = 3891.6 N