A Planet has mass twice the mans of earth and radius thrice as the radius of earth. If an object weighs 540N on earth, what would be its weight on the planet? (g = 10m/s)
Answers
Aside from a little mental activity, all you need to know to solve this is Newton’s formula for the force of gravity:
F = GMm/r^2
Where G is the gravitational constant, M will be the mass of the planet, m will be the mass of the object, and r the radius of the planet.
Note that weight and mass are not the same thing.
Btw, the problem is written in a way to confuse you. The body has a mass of 5kg on the surface of the Earth. This is the same mass it will have everywhere else.
A confusing feature of our scientific terms is that we weight things using the Metric system using kilograms, a measure of mass, but using the English system we weight things in pounds, which is a measure of the force of gravity on an object. The body weights 5kgs and about 11 lbs on the surface of the Earth. In outer-space it would weigh 5kgs and 0 lbs.