If the mass and radius of Jupiter are 1.9 x 〖10〗^27kg and 71 x 〖10〗^(6 )m,
Q) If the mass and radius of Jupiter are 1.9 x 〖10〗^27kg and 71 x 〖10〗^(6 )m, what will be acceleration due to gravity of Jupiter? what will be the weight of 80 kg mass Jupiter?
Ans:
Mass of Jupiter(M) = 1.9 x 〖10〗^(27 )kg
Radius of Jupiter(R) = 71 x 〖10〗^6 m
Acceleration due to gravity of Jupiter(g) = ?
Mass of object(W) = ?
Using formula,
g = GM/R^2
or, g = (6.67 x 〖10〗^(-11) x 1.9 x 〖10〗^27)/((71 x 〖10〗^(6 ))^2)
or, g = 25m/s^2
Again,
Weight of an object = mg
= 80 x 25
= 2000 N
Therefore , acceleration due to gravity of Jupiter is 25m/s^2 and weight of 80 kg mass is 2000 N.
Q) If a weightlifter can lift 100 kg on earth, how much mass can be lift on the surface of the moon?
Here,
Mass on the earth = 100 kg
Weight on the earth that can be lifted by person
= 100 x 9.8=980N
Again,
Weight that can be lifted by the person on the moon = 980 N
Acceleration due to gravity of the moon = 1.67 m/s^2
Mass that can be lifted on the moon = W/g
= 980/1.67
= 586.5 kg
∴ That man can lift 586.5 kg on the moon.
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