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

0.2 m/s^2

Explanation:

By Newton's formula for gravitational force,

Fg = gravtiational force = $G(m1*m2)/r^2$

Here, G = gravitational constant = $6.7*10^-11 Nm^2/kg^2$

m1 = mass of the planet = 7.4*10^22 kg

m2 = 1 kg (lets assume)

r = radius of planet = 4958*1000 m

Using the formula for Fg we get

Fg = 0.20169 N

Approxiately

Fg = 0.2 N

This is the force on an object of 1 kg mass.

Thus, it the value of acceleration due to gravity on the planet is 0.2 $m/s^2$.