Find magnitude of gravitational force a61.8kg person experience while standing on surface of Earth with mass of 5.98x10^24kg and a radius of6.37x10^m.
The universal gravitational constant is 6.673 x 10^-11 N times m^2/kg^2. Answer in units of N.
Find the magnitude of the gravitational force on Mars, with a mass of 6.34 x 10^23 kg and a radius of 3.43 x 10^6 m. Answer in units of N.
Find the magnitude of the gravitational force on Pluto, with a mass of 1.32 x 10^22 kg and a radius of 1.15 x 10^6 m. Answer in units of N.
For all of these questions, you need to use the following equation, which will tell you the force of gravity in those situations:
Fg = (Gm1m2)/r^2
where G is the universal gravitational constant, m1 and m2 are the masses of the objects, and r is the distance that separates their centers.
So then you just plug in the numbers you have provided. I will note that the proper radius of the Earth is 6.37 x 10^6.
Force on Earth: 6.08 x 10^3 Joules
Force on Mars: 2.22 x 10^2 Joules
Force on Pluto: 4.12 x 10^1 Joules
The gravitational force F between the bodies of masses M and m is given by:
F = GMm/R^2, where G, the gavitational constant = 6.673 x 10^-11 N times m^2/kg^2, M, the Mass of earth = 5.98x10^24kg and , R the diastance between the cenre of earth and man = 6.37x10^6 m, and m, the mass of man = 61.8 kg. Therefore
F = 607.7597283 N