We are given with a force in the middle of a rope measuring 10 m and an angle of sagging of 10 degrees from the horizontal. The tension of the rope is equal to the hypotenuse of the right triangle.
sin 10 = 50 kg * 9.8 m/s2 / T
Tension = 2821. 80 N
if the mass of both of the objects is doubled, then the force of gravity between them is quadrupled. Since gravitational force is inversely proportional to the square of the separation distance between the two interacting objects, more separation distance will result in weaker gravitational forces.
==> Take an Earth weight. Don't forget the unit.
==> Multiply it by 0.166 .
==> The product is its Moon weight. Don't forget the unit.
Example:
If I weigh 1,000 lbs on Earth.
Multiply 1,000 lbs by 0.166 .
I weigh 166 lbs on the Moon