the radius of a Planet A is half the radius of planet B. If the mass of A is Ma, what must be the mass of B so that the value of g on b is half that of its value on A??... PLZ HELP
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Originally Answered: The mass and radius of a planet are half the respective values of the earth. What is the value of the acceleration due to the gravity of the planet?
acceleration due to gravity becomes twice of original.
formula for acceleration due to gravity is
g=GM/r^2
G is a constant equal to 6.67 × 10-11 N-m2/kg2,
M is mass of planet which is also a constant
r is radius of planet which is also a constant
if mass and radius are half of original i.e M/2 and r/2
g'=G(M/2)/(r/2)^2
which gives g' = 2GM/r^2
g'=2g
acceleration due to gravity got twice of original
acceleration due to gravity becomes twice of original.
formula for acceleration due to gravity is
g=GM/r^2
G is a constant equal to 6.67 × 10-11 N-m2/kg2,
M is mass of planet which is also a constant
r is radius of planet which is also a constant
if mass and radius are half of original i.e M/2 and r/2
g'=G(M/2)/(r/2)^2
which gives g' = 2GM/r^2
g'=2g
acceleration due to gravity got twice of original
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