Mass on the planet would be 4 times the mass on Earth.
Explanation:
Given -
Let the mass of Earth = Me
Let the radius of Earth = Re
Mass of the planet, Mp = 4Me
Radius of the planet, Rp = 4Re
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 (ma = mass on earth)
Gravitational force on planet :
F = G X 4Me X mₓ/ (4Re)² (mx = mass on other planet)
Dividing both the equations, we get
mx = 4ma
Therefore, mass on the planet would be 4 times the mass on Earth.
