Question

Determine the magnitude of the gravitational force between a planet of mass 6 x 1024kg and a 1 kg object on its surface. Let the radius of the planet be 6x106m and G = 6.67 x 10-11Nm2kg-2.

CBSE Class IX Science SA 2 (3 Marks)

Answer 1

                                                                                                                        1Zp = radius of the planet = 6 X 10⁶Tri M = mass of the planet = 6 X 10²⁴ kg G = Universal Gravitational Constant = 6.67 x 10⁻¹¹ Nm²/kg² m = mass of object = 1 kg According to Newton's Law of Gravitation, the gravitation force (F) is GM pm F = R²

F = (6.67 x 10⁻¹¹) (6 x 10²⁴) (1) / (6 x 106)2                     

F = 9.8 N

Hence, the magnitude of the gravitational force is 9.8 N.