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...

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.

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pohnpei397's profile pic

pohnpei397 | College Teacher | (Level 3) Distinguished Educator

Posted on

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

neela's profile pic

neela | High School Teacher | (Level 3) Valedictorian

Posted on

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

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