Mass of a body is 25 kg. What is its weight in Newton on earth? The body is carried to a planet whose mass is two times the mass of earth and radius is half that of earth. What will be the mass and weight of the body on the planet? (Take the value of g on earth as 10 m s–2) please answer fast
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Mass of body = 25kg
acceleration due to gravity on Earth = 10m/s^2
then, it's weight = 25×10 = 250 N
G(M) / (R^2) where M is the mass of the planet and R is it's radius.
Here, on Earth
we have GM/(R^2)= 10m/s^2 ---(i)
in case of the given planet mass of planet = 2M
and radius = (1/2)R
The gravitational acceleration on that planet =
G(2M) / (1/2R)^2
= 8GM/R^2
from eq. (i)
8( gravitational acceleration on earth)
=8(10)
= 80m/s^2
mass of the body = 25kg,
then it's weight on that planet becomes (25)(80)= 2000 N
acceleration due to gravity on Earth = 10m/s^2
then, it's weight = 25×10 = 250 N
G(M) / (R^2) where M is the mass of the planet and R is it's radius.
Here, on Earth
we have GM/(R^2)= 10m/s^2 ---(i)
in case of the given planet mass of planet = 2M
and radius = (1/2)R
The gravitational acceleration on that planet =
G(2M) / (1/2R)^2
= 8GM/R^2
from eq. (i)
8( gravitational acceleration on earth)
=8(10)
= 80m/s^2
mass of the body = 25kg,
then it's weight on that planet becomes (25)(80)= 2000 N
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