The mass and radius of moon are 7 . 34 × 10 22 Kg and 1 . 75 × 10 6 m . Find the acceleration due to gravity at the moon. ( G = 6 . 67 × 10 - 11 N m 2 k g - 2 ) .

The mass of moon is M = 7 . 34 × 10 22 kg and the radius of the moon is r = 1 . 75 × 10 6 m . We know that the acceleration due to gravity g is g = GM r 2 g = ( 6 . 67 × 10 - 11 ) ( 7 . 34 × 10 22 ) ( 1 . 75 × 10 6 ) 2 g = 1 . 6 ms - 2

The mass and radius of moon are 7 . 34 × 10 22 Kg and 1 . 75 × 10 6 m . Find the acceleration due to gravity at the moon. ( G = 6 . 67 × 10 - 11 N m 2 k g - 2 ) .

The mass of moon is M = 7 . 34 × 10 22 kg and the radius of the moon is r = 1 . 75 × 10 6 m . We know that the acceleration due to gravity g is g = GM r 2 g = ( 6 . 67 × 10 - 11 ) ( 7 . 34 × 10 22 ) ( 1 . 75 × 10 6 ) 2 g = 1 . 6 ms - 2

The acceleration due to gravity on the surface of the earth is 10 ms - 2 . The mass of the planet mars as compared to earth is 1 10 and radius is 1 2 . Determine the gravitational acceleration of a body on the surface of mars.

We know that the acceleration due to gravity is g = G M R 2 For the planet mars, M mars = 1 10 M earth R mars = 1 2 R earth The gravitational acceleration of a body on the mars is g ' = G M 10 R 2 2 g ' = GM × 4 10 R 2 g ' = 2 5 g g ' = 4 m / s 2

The body weights 100 kg on earth. Find it weight on mars. The mass and radius of mars are 1 10 and 1 2 of the mass and radius of earth.

The acceleration due to gravity on earth is g = GM R 2 On the planet of mars M ' = M 10 , R ' = R 2 and g ' = G M 10 R 2 2 g ' = 2 GM 5 R 2 g ' = 2 5 g To calculating weight on mars, multiplying by m on both side mg ' = 2 5 mg = 2 5 × 1000 = 400 N = 40 Kg