Question

Calculate the value of acceleration due to gravity on the surface of the planet. (Given, mass of planet: 7.4 x 1022 kg, ; radius of planet= 4958 km; G= 6.7x 10-11)​

Answer 1

Correct question : Calculate the value of acceleration due to gravity on the surface of the planet. (Given, mass of planet: 7.4 x 10²² kg, ; radius of planet= 4958 km; G = 6.7x 1/10¹¹ N m²/kg²)

Given data :

➜ Mass of planet, M = 7.4 * 10²² kg

➜ Radius of planet, R = 4958 km

➜ Gravitational constant, G = 6.7 * 1/10¹¹ N m²/kg²

Solution : To calculate the value of acceleration due to gravity on the surface of the planet, we use formula of acceleration due to gravity;

➜ Acceleration due to gravity, g = [GM]/[R]²

Now here,

➜ g = [GM]/[R]²

By substituting the values:

➜ g = [(6.7 * 1/10¹¹) * (7.4 * 10²²)]/[4958]²

➜ g = [(6.7 * 7.4) * (10²²/10¹¹)]/[24581764]

➜ g = [49.58 * 10¹¹]/[24581764]

➜ g = [49.58/24581764] * 10¹¹

➜ g = [1/495800] * 10¹¹

➜ g = 10¹¹/495800

➜ g = 10⁹/4958

➜ g = (1/4958) * 10⁹

➜ g = 0.00020169423 * 10⁹

➜ g = 201694.23 m/s²

Answer : Hence, the value of acceleration due to gravity on the surface of the planet is 201694.23 m/s².