Answer :
Mass on the planet would be 10/3 times the mass on Earth weigh on this new planet.
How do you define mass?
A quantitative measure of the fundamental characteristic of all matter, inertia. In essence, it's the resistance of a mass of matter to changing its direction or speed in reaction to the force applied to it. The much more weight a body has, the less change an applied force produces.
Briefing:
Let the mass of Earth = Me
Let the radius of Earth = Re
Mass of the planet, Mp = 10Me
Radius of the planet, Rp = 3Re
Weight on other planet, W = ?
Weight on planets is determined by the gravitational force
Gravitational force, F = GMm/r²
where, G = gravitational constant
M = Mass of the planet
m = our mass
r = radius of the planet
Gravitational force on Earth:
F = G X Me X ma/ Re².....eq (1) (ma = mass on earth)
Gravitational force on planet :
F = G X 10Me X mₓ/ (3Re)²....eq (2) (mx = mass on other planet)
Dividing both the equations, we get
mx = 10/3ma
Therefore, mass on the planet would be 10/3 times the mass on Earth.
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