a heavenly body has a mass and radius half that of the earth. find the weight of a body on its surface if its mass is 100kg.

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